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Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["Liquid"][ Pattern[$CellContext`T, Blank[]]][0] = 3815.564 - 12011./$CellContext`T + 109.310993 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["Liquid"][ Pattern[$CellContext`T, Blank[]]][1.] = 5194.277 + 52478./$CellContext`T + 120.973331 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["Liquid"][ Pattern[$CellContext`T, Blank[]]][1] = 5194.277 + 52478./$CellContext`T + 120.973331 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["Liquid"][ Pattern[$CellContext`T, Blank[]], Optional[ Pattern[$CellContext`\[Omega]L, Blank[]], 14000]][ Pattern[$CellContext`xCu, Blank[]]] = 3815.564 - 12011/$CellContext`T + 109.310993 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 1.034*^-20 $CellContext`T^7 + ( 1 - $CellContext`xCu) $CellContext`xCu $CellContext`\[Omega]L - 23.8463314 $CellContext`T Log[$CellContext`T] + $CellContext`xCu (1378.7130000000002` + 64489/$CellContext`T + 11.662338000000005` $CellContext`T - 0.0008662549999999996 $CellContext`T^2 + 5.2781*^-7 $CellContext`T^3 + 4.4910000000000006`*^-21 $CellContext`T^7 - 0.2660605999999994 $CellContext`T Log[$CellContext`T]) + 8.31 $CellContext`T ((1 - $CellContext`xCu) Log[1 - $CellContext`xCu] + $CellContext`xCu Log[$CellContext`xCu]), $CellContext`molarGibbsEnergyMixing["FCC"][ Pattern[$CellContext`T, Blank[]]][0.] = -7209.512000000001 - 12011./$CellContext`T + 118.202013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["FCC"][ Pattern[$CellContext`T, Blank[]]][0] = -7209.512000000001 - 12011./$CellContext`T + 118.202013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["FCC"][ Pattern[$CellContext`T, Blank[]]][1.] = -7770.458 + 52478./$CellContext`T + 130.485235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["FCC"][ Pattern[$CellContext`T, Blank[]]][1] = -7770.458 + 52478./$CellContext`T + 130.485235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["FCC"][ Pattern[$CellContext`T, Blank[]], Optional[ Pattern[$CellContext`\[Omega]S, Blank[]], 30000]][ Pattern[$CellContext`xCu, Blank[]]] = -7209.512 - 12011/$CellContext`T + 118.202013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 + ( 1 - $CellContext`xCu) $CellContext`xCu $CellContext`\[Omega]S - 23.8463314 $CellContext`T Log[$CellContext`T] + $CellContext`xCu (-560.9459999999999 + 64489/$CellContext`T + 12.283221999999995` $CellContext`T - 0.0008662549999999996 $CellContext`T^2 + 5.2781*^-7 $CellContext`T^3 - 0.2660605999999994 $CellContext`T Log[$CellContext`T]) + 8.31 $CellContext`T ((1 - $CellContext`xCu) Log[1 - $CellContext`xCu] + $CellContext`xCu Log[$CellContext`xCu]), $CellContext`molarGibbsEnergyMixing["BCC"][ Pattern[$CellContext`T, Blank[]]][0.] = -3809.5120000000006` - 12011./$CellContext`T + 117.15201300000001` $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["BCC"][ Pattern[$CellContext`T, Blank[]]][0] = -3809.5120000000006` - 12011./$CellContext`T + 117.15201300000001` $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["BCC"][ Pattern[$CellContext`T, Blank[]]][1.] = -3753.458 + 52478./$CellContext`T + 129.230235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["BCC"][ Pattern[$CellContext`T, Blank[]]][1] = -3753.458 + 52478./$CellContext`T + 129.230235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["BCC"][ Pattern[$CellContext`T, Blank[]], Optional[ Pattern[$CellContext`\[Omega]S, Blank[]], 30000]][ Pattern[$CellContext`xCu, Blank[]]] = -3809.512 - 12011/$CellContext`T + 117.152013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 + ( 1 - $CellContext`xCu) $CellContext`xCu $CellContext`\[Omega]S - 23.8463314 $CellContext`T Log[$CellContext`T] + $CellContext`xCu (56.05400000000009 + 64489/$CellContext`T + 12.078221999999997` $CellContext`T - 0.0008662549999999996 $CellContext`T^2 + 5.2781*^-7 $CellContext`T^3 - 0.2660605999999994 $CellContext`T Log[$CellContext`T]) + 8.31 $CellContext`T ((1 - $CellContext`xCu) Log[1 - $CellContext`xCu] + $CellContext`xCu Log[$CellContext`xCu]), $CellContext`molarGibbsEnergyMixing["HCP"][ Pattern[$CellContext`T, Blank[]]][0.] = -6909.512 - 12011./$CellContext`T + 118.502013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["HCP"][ Pattern[$CellContext`T, Blank[]]][0] = -6909.512 - 12011./$CellContext`T + 118.502013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 - 23.8463314 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["HCP"][ Pattern[$CellContext`T, Blank[]]][1.] = -7170.458 + 52478./$CellContext`T + 130.685235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["HCP"][ Pattern[$CellContext`T, Blank[]]][1] = -7170.458 + 52478./$CellContext`T + 130.685235 $CellContext`T - 0.0026568399999999997` $CellContext`T^2 + 1.2922300000000002`*^-7 $CellContext`T^3 - 24.112392 $CellContext`T Log[$CellContext`T], $CellContext`molarGibbsEnergyMixing["HCP"][ Pattern[$CellContext`T, Blank[]], Optional[ Pattern[$CellContext`\[Omega]S, Blank[]], 30000]][ Pattern[$CellContext`xCu, Blank[]]] = -6909.512 - 12011/$CellContext`T + 118.502013 $CellContext`T - 0.0017905850000000001` $CellContext`T^2 - 3.98587*^-7 $CellContext`T^3 + ( 1 - $CellContext`xCu) $CellContext`xCu $CellContext`\[Omega]S - 23.8463314 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InterpretationBox[ TagBox[ DynamicModuleBox[{PlaneGeometry`GeometrySceneDrawerDump`instanceCount$$ = 1, PlaneGeometry`GeometrySceneDrawerDump`instance$$ = 1, PlaneGeometry`GeometrySceneDrawerDump`stepCount$$ = 1, PlaneGeometry`GeometrySceneDrawerDump`step$$ = 1, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$ = 0, PlaneGeometry`GeometrySceneDrawerDump`generatedPoints$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$ = {$CellContext`a, \ $CellContext`b, $CellContext`c, $CellContext`p, $CellContext`pa, \ $CellContext`pb, $CellContext`pc}, PlaneGeometry`GeometrySceneDrawerDump`generatedQuants$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ = { C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`p], C["GeometricPoint"][$CellContext`pa], C["GeometricPoint"][$CellContext`pb], C["GeometricPoint"][$CellContext`pc]}, PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`pointIndices$$ = {1, 2, 3, 4, 5, 6, 7}, PlaneGeometry`GeometrySceneDrawerDump`quantIndices$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`pointNames$$ = { C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`p], C["GeometricPoint"][$CellContext`pa], C["GeometricPoint"][$CellContext`pb], C["GeometricPoint"][$CellContext`pc]}, PlaneGeometry`GeometrySceneDrawerDump`quantNames$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$ = {{ PlaneGeometry`GeometrySceneDrawer`Dump`var1548, PlaneGeometry`GeometrySceneDrawer`Dump`var1549}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1550, PlaneGeometry`GeometrySceneDrawer`Dump`var1551}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1552, PlaneGeometry`GeometrySceneDrawer`Dump`var1553}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1554, PlaneGeometry`GeometrySceneDrawer`Dump`var1555}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1556, PlaneGeometry`GeometrySceneDrawer`Dump`var1557}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1558, PlaneGeometry`GeometrySceneDrawer`Dump`var1559}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1560, PlaneGeometry`GeometrySceneDrawer`Dump`var1561}}, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$ = {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`indPointPos$$, PlaneGeometry`GeometrySceneDrawerDump`indQuantPos$$, PlaneGeometry`GeometrySceneDrawerDump`stepDescriptionList$$ = {"Step 1"}, PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$ = {{1, 2, 3, 4, 5, 6, 7}}, PlaneGeometry`GeometrySceneDrawerDump`generatedPointPosLists$$ = \ {{}}, PlaneGeometry`GeometrySceneDrawerDump`quantPosLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$ = {{{ False, False, False, False, False, False, False}}}, PlaneGeometry`GeometrySceneDrawerDump`fixedPointPos$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$ = {{{}}}, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantPos$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`relativePos$$ = {1, 2, 3, 4, 5, 6, 7}, PlaneGeometry`GeometrySceneDrawerDump`optimizerInputs$$ = {{( Rational[-1, 2] 3^Rational[1, 2] + PlaneGeometry`GeometrySceneDrawer`Dump`var1548)^2 + (Rational[1, 2] + PlaneGeometry`GeometrySceneDrawer`Dump`var1549)^2 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550^2 + (-1 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551)^2 + ( Rational[1, 2] 3^Rational[1, 2] + PlaneGeometry`GeometrySceneDrawer`Dump`var1552)^2 + (Rational[1, 2] + PlaneGeometry`GeometrySceneDrawer`Dump`var1553)^2 + \ (-0.290693703096678413`7.977294885095501 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554)^2 + ( 0.00187512244923815352137808076804503798`7.977294885095501 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555)^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1550) PlaneGeometry`GeometrySceneDrawer`Dump`var1562)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1551) PlaneGeometry`GeometrySceneDrawer`Dump`var1563)^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1552) PlaneGeometry`GeometrySceneDrawer`Dump`var1564)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1553) PlaneGeometry`GeometrySceneDrawer`Dump`var1565)^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1550 - PlaneGeometry`GeometrySceneDrawer`Dump`var1552) PlaneGeometry`GeometrySceneDrawer`Dump`var1566)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1553) PlaneGeometry`GeometrySceneDrawer`Dump`var1567)^2 + ( 1 - (-(-PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551) (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1552) + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550) (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553)) PlaneGeometry`GeometrySceneDrawer`Dump`var1568)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1572)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1572)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + Rational[1, 2] (-PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1573 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + Rational[1, 2] (-PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1573 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1569 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1573))^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1552 + Rational[1, 3] (-PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1550 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1574 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1558) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1556) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1554 + PlaneGeometry`GeometrySceneDrawer`Dump`var1560) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1553 + Rational[1, 3] (-PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1574 + Rational[1, 3] (PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1559) PlaneGeometry`GeometrySceneDrawer`Dump`var1570 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1557) PlaneGeometry`GeometrySceneDrawer`Dump`var1571 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1555 + PlaneGeometry`GeometrySceneDrawer`Dump`var1561) PlaneGeometry`GeometrySceneDrawer`Dump`var1574))^2, { Rational[1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1551) PlaneGeometry`GeometrySceneDrawer`Dump`var1552 + PlaneGeometry`GeometrySceneDrawer`Dump`var1548 ( PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1553) + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553))^2 >= 0.1, Rational[ 1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1551) PlaneGeometry`GeometrySceneDrawer`Dump`var1552 + PlaneGeometry`GeometrySceneDrawer`Dump`var1548 ( PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1553) + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553))^2 >= 0.1, Rational[ 1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1551) PlaneGeometry`GeometrySceneDrawer`Dump`var1552 + PlaneGeometry`GeometrySceneDrawer`Dump`var1548 ( PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1553) + PlaneGeometry`GeometrySceneDrawer`Dump`var1550 (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553))^2 >= 0.1, (-PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1550)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1551)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var1548 + PlaneGeometry`GeometrySceneDrawer`Dump`var1552)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1549 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var1550 + PlaneGeometry`GeometrySceneDrawer`Dump`var1552)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var1551 + PlaneGeometry`GeometrySceneDrawer`Dump`var1553)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var1548 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1549 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var1550 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1551 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var1552 - PlaneGeometry`GeometrySceneDrawer`Dump`var1554)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var1553 - PlaneGeometry`GeometrySceneDrawer`Dump`var1555)^2 >= 0.03}, {{ PlaneGeometry`GeometrySceneDrawer`Dump`var1548, PlaneGeometry`GeometrySceneDrawer`Dump`var1549, PlaneGeometry`GeometrySceneDrawer`Dump`var1550, PlaneGeometry`GeometrySceneDrawer`Dump`var1551, PlaneGeometry`GeometrySceneDrawer`Dump`var1552, PlaneGeometry`GeometrySceneDrawer`Dump`var1553, PlaneGeometry`GeometrySceneDrawer`Dump`var1554, PlaneGeometry`GeometrySceneDrawer`Dump`var1555, PlaneGeometry`GeometrySceneDrawer`Dump`var1556, PlaneGeometry`GeometrySceneDrawer`Dump`var1557, PlaneGeometry`GeometrySceneDrawer`Dump`var1558, PlaneGeometry`GeometrySceneDrawer`Dump`var1559, PlaneGeometry`GeometrySceneDrawer`Dump`var1560, PlaneGeometry`GeometrySceneDrawer`Dump`var1561}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1562, PlaneGeometry`GeometrySceneDrawer`Dump`var1563, PlaneGeometry`GeometrySceneDrawer`Dump`var1564, PlaneGeometry`GeometrySceneDrawer`Dump`var1565, PlaneGeometry`GeometrySceneDrawer`Dump`var1566, PlaneGeometry`GeometrySceneDrawer`Dump`var1567, PlaneGeometry`GeometrySceneDrawer`Dump`var1568}, {{}, {}, {}, {}, {}, \ {}, {PlaneGeometry`GeometrySceneDrawer`Dump`var1569}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1570}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1571}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1572}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1573}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1574}}}}}, PlaneGeometry`GeometrySceneDrawerDump`objectiveList$$ = {( Rational[-1, 2] 3^Rational[1, 2] + C["GeometricPoint"][$CellContext`a][1])^2 + (Rational[1, 2] + C["GeometricPoint"][$CellContext`a][2])^2 + C["GeometricPoint"][$CellContext`b][ 1]^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1541] ( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`b][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1542] ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]))^2 + (-1 + C["GeometricPoint"][$CellContext`b][2])^2 + ( Rational[1, 2] 3^Rational[1, 2] + C["GeometricPoint"][$CellContext`c][1])^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1543] ( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`c][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1544] ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`c][2]))^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1545] ( C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`c][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1546] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]))^2 + (Rational[1, 2] + C["GeometricPoint"][$CellContext`c][2])^2 + (1 - "notVar"[ PlaneGeometry`GeometrySceneDrawer`Dump`var1547] (-(- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]) (- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1]) + (- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1]) (- C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][ 2])))^2 + (-0.290693703096678413`7.977294885095501 + C["GeometricPoint"][$CellContext`p][1])^2 + ( 0.00187512244923815352137808076804503798`7.977294885095501 + C["GeometricPoint"][$CellContext`p][2])^2 + ( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`p][1] - "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pa][1]))^2 + ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`p][2] - "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pa][2]))^2 + ( C["GeometricPoint"][$CellContext`b][1] + Rational[1, 2] (-C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`p][1] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pb][1]) - "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + (- C["GeometricPoint"][$CellContext`p][1] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pb][1]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + (- C["GeometricPoint"][$CellContext`a][1] - "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pc][1]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + ( C["GeometricPoint"][$CellContext`c][1] + Rational[1, 3] (-C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`p][1] - "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) - "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + (- C["GeometricPoint"][$CellContext`b][1] - "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + (- C["GeometricPoint"][$CellContext`a][1] - "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + (- C["GeometricPoint"][$CellContext`p][1] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1])))^2 + ( C["GeometricPoint"][$CellContext`b][2] + Rational[1, 2] (-C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`p][2] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pb][2]) - "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + (- C["GeometricPoint"][$CellContext`p][2] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pb][2]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + (- C["GeometricPoint"][$CellContext`a][2] - "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pc][2]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + ( C["GeometricPoint"][$CellContext`c][2] + Rational[1, 3] (-C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`p][2] - "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) - "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + (- C["GeometricPoint"][$CellContext`b][2] - "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + (- C["GeometricPoint"][$CellContext`a][2] - "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2])))^2 + (- C["GeometricPoint"][$CellContext`p][2] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2]) + Rational[1, 3] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2])))^2}, PlaneGeometry`GeometrySceneDrawerDump`constraintsList$$ = {{ Rational[1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, Rational[ 1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, Rational[1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1])^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1])^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1])^2 + (- C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`p][1])^2 + ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`p][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`p][1])^2 + ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`p][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`c][1] - C[ "GeometricPoint"][$CellContext`p][1])^2 + ( C["GeometricPoint"][$CellContext`c][2] - C[ "GeometricPoint"][$CellContext`p][2])^2 >= 0.03}}, PlaneGeometry`GeometrySceneDrawerDump`formattedVarsList$$ = {{{ C["GeometricPoint"][$CellContext`a][1], C["GeometricPoint"][$CellContext`a][2], C["GeometricPoint"][$CellContext`b][1], C["GeometricPoint"][$CellContext`b][2], C["GeometricPoint"][$CellContext`c][1], C["GeometricPoint"][$CellContext`c][2], C["GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`p][2], C["GeometricPoint"][$CellContext`pa][1], C["GeometricPoint"][$CellContext`pa][2], C["GeometricPoint"][$CellContext`pb][1], C["GeometricPoint"][$CellContext`pb][2], C["GeometricPoint"][$CellContext`pc][1], C["GeometricPoint"][$CellContext`pc][2]}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1541], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1542], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1543], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1544], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1545], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1546], "notVar"[ PlaneGeometry`GeometrySceneDrawer`Dump`var1547]}, {{}, {}, {}, {}, {}, \ {}, { "paramVar"[{1}][7, 2]}, { "paramVar"[{1}][8, 2]}, { "paramVar"[{1}][9, 2]}, { "paramVar"[{1}][10, 2]}, { "paramVar"[{1}][11, 2]}, { "paramVar"[{1}][12, 2]}}}}, PlaneGeometry`GeometrySceneDrawerDump`equalitiesList$$ = {{ C["GeometricPoint"][$CellContext`a][1] == Rational[1, 2] 3^Rational[1, 2], C["GeometricPoint"][$CellContext`a][2] == Rational[-1, 2], C["GeometricPoint"][$CellContext`b][1] == 0, C["GeometricPoint"][$CellContext`b][2] == 1, C["GeometricPoint"][$CellContext`c][1] == Rational[-1, 2] 3^Rational[1, 2], C["GeometricPoint"][$CellContext`c][2] == Rational[-1, 2], C["GeometricPoint"][$CellContext`p][1] == 0.290693703096678413`7.977294885095501, C["GeometricPoint"][$CellContext`p][ 2] == -0.00187512244923815352137808076804503798`7.977294885095501, C["GeometricPoint"][$CellContext`b][1] == Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pc][1])), C["GeometricPoint"][$CellContext`b][2] == Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][7, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pc][2])), C["GeometricPoint"][$CellContext`c][1] == Rational[1, 3] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pa][1]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pb][1]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pc][1])), C["GeometricPoint"][$CellContext`c][2] == Rational[1, 3] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][9, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pa][2]) + "paramVar"[{1}][8, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pb][2]) + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pc][2])), C["GeometricPoint"][$CellContext`a][1] == C["GeometricPoint"][$CellContext`p][1] + "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`p][1] + C["GeometricPoint"][$CellContext`pa][1]), C["GeometricPoint"][$CellContext`a][2] == C["GeometricPoint"][$CellContext`p][2] + "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`p][2] + C["GeometricPoint"][$CellContext`pa][2])}}, PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = True, PlaneGeometry`GeometrySceneDrawerDump`initialValues$$ = { 1, 1, 0, {{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, {{}}, {{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, {{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`b], {- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`c][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`c][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`a]]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`a]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`a]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`b]]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`b]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`b]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`c]]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`c]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`c]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`p]]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`p]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`p]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pa]]}, Inset[ Style[" pa ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pa]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pa]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pb]]}, Inset[ Style[" pb ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pb]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pb]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pc]]}, Inset[ Style[" pc ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pc]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pc]]}}}, {}}}, {{{ C["GeometricPoint"][$CellContext`a] -> {0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`b] -> {0., 1.}, C["GeometricPoint"][$CellContext`c] -> {-0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`p] -> { 0.2906937030966784, -0.0018751224492381535`}, C["GeometricPoint"][$CellContext`pa] -> {-0.2887732435152425, 0.49983007036514027`}, C["GeometricPoint"][$CellContext`pb] -> {0.43522445549805583`, -0.5}, C["GeometricPoint"][$CellContext`pc] -> {0.5211380096158276, 0.09736248959006834}}, {}}}, {{{ False, False, False, False, False, False, False}}}, {{{}}}, False, True, {}, {}, {{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, {{{-1.3392304845413263`, 1.3392304845413263`}, {-1.0892304845413263`, 1.5892304845413263`}}}}, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$ = \ {{{-1.3392304845413263`, 1.3392304845413263`}, {-1.0892304845413263`, 1.5892304845413263`}}}, PlaneGeometry`GeometrySceneDrawerDump`conclusionList$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$ = {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, PlaneGeometry`GeometrySceneDrawerDump`picPart$$, PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = True, PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$ = {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {-0.2887732435152425, 0.49983007036514027`}, {0.43522445549805583`, -0.5}, {0.5211380096158276, 0.09736248959006834}}}, PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$ = {{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`p], C["GeometricPoint"][$CellContext`pa], C["GeometricPoint"][$CellContext`pb], C["GeometricPoint"][$CellContext`pc]}}, PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$, PlaneGeometry`GeometrySceneDrawerDump`size$$ = {380, 380}, PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$ = 10, PlaneGeometry`GeometrySceneDrawerDump`pics$$ = {{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`b], {- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C["GeometricPoint"][$CellContext`p], { C["GeometricPoint"][$CellContext`c][1] - C[ "GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`c][2] - C[ "GeometricPoint"][$CellContext`p][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`a]]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`a]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`a]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`b]]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`b]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`b]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`c]]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`c]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`c]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`p]]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`p]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`p]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pa]]}, Inset[ Style[" pa ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pa]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pa]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pb]]}, Inset[ Style[" pb ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pb]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pb]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pc]]}, Inset[ Style[" pc ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pc]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pc]]}}}, {}}}, PlaneGeometry`GeometrySceneDrawerDump`varray$$ = {{ C["GeometricPoint"][$CellContext`a][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1548}, { C["GeometricPoint"][$CellContext`a][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1549}, { C["GeometricPoint"][$CellContext`b][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1550}, { C["GeometricPoint"][$CellContext`b][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1551}, { C["GeometricPoint"][$CellContext`c][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1552}, { C["GeometricPoint"][$CellContext`c][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1553}, { C["GeometricPoint"][$CellContext`p][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1554}, { C["GeometricPoint"][$CellContext`p][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1555}, { C["GeometricPoint"][$CellContext`pa][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1556}, { C["GeometricPoint"][$CellContext`pa][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1557}, { C["GeometricPoint"][$CellContext`pb][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1558}, { C["GeometricPoint"][$CellContext`pb][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1559}, { C["GeometricPoint"][$CellContext`pc][1], PlaneGeometry`GeometrySceneDrawer`Dump`var1560}, { C["GeometricPoint"][$CellContext`pc][2], PlaneGeometry`GeometrySceneDrawer`Dump`var1561}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1541], PlaneGeometry`GeometrySceneDrawer`Dump`var1562}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1542], PlaneGeometry`GeometrySceneDrawer`Dump`var1563}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1543], PlaneGeometry`GeometrySceneDrawer`Dump`var1564}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1544], PlaneGeometry`GeometrySceneDrawer`Dump`var1565}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1545], PlaneGeometry`GeometrySceneDrawer`Dump`var1566}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1546], PlaneGeometry`GeometrySceneDrawer`Dump`var1567}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var1547], PlaneGeometry`GeometrySceneDrawer`Dump`var1568}, { "paramVar"[{1}][7, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1569}, { "paramVar"[{1}][8, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1570}, { "paramVar"[{1}][9, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1571}, { "paramVar"[{1}][10, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1572}, { "paramVar"[{1}][11, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1573}, { "paramVar"[{1}][12, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var1574}}, PlaneGeometry`GeometrySceneDrawerDump`pointLists$$ = {{{ PlaneGeometry`GeometrySceneDrawer`Dump`var1548, PlaneGeometry`GeometrySceneDrawer`Dump`var1549}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1550, PlaneGeometry`GeometrySceneDrawer`Dump`var1551}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1552, PlaneGeometry`GeometrySceneDrawer`Dump`var1553}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1554, PlaneGeometry`GeometrySceneDrawer`Dump`var1555}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1556, PlaneGeometry`GeometrySceneDrawer`Dump`var1557}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1558, PlaneGeometry`GeometrySceneDrawer`Dump`var1559}, { PlaneGeometry`GeometrySceneDrawer`Dump`var1560, PlaneGeometry`GeometrySceneDrawer`Dump`var1561}}}, PlaneGeometry`GeometrySceneDrawerDump`generatedPointLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`quantLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$ = <|{ PlaneGeometry`GeometrySceneDrawer`Dump`var1548, PlaneGeometry`GeometrySceneDrawer`Dump`var1549} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1550, PlaneGeometry`GeometrySceneDrawer`Dump`var1551} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1552, PlaneGeometry`GeometrySceneDrawer`Dump`var1553} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1554, PlaneGeometry`GeometrySceneDrawer`Dump`var1555} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1556, PlaneGeometry`GeometrySceneDrawer`Dump`var1557} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1558, PlaneGeometry`GeometrySceneDrawer`Dump`var1559} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1560, PlaneGeometry`GeometrySceneDrawer`Dump`var1561} -> 1|>, PlaneGeometry`GeometrySceneDrawerDump`pointPosAssoc$$ = <|{ PlaneGeometry`GeometrySceneDrawer`Dump`var1548, PlaneGeometry`GeometrySceneDrawer`Dump`var1549} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var1550, PlaneGeometry`GeometrySceneDrawer`Dump`var1551} -> 2, {PlaneGeometry`GeometrySceneDrawer`Dump`var1552, PlaneGeometry`GeometrySceneDrawer`Dump`var1553} -> 3, {PlaneGeometry`GeometrySceneDrawer`Dump`var1554, PlaneGeometry`GeometrySceneDrawer`Dump`var1555} -> 4, {PlaneGeometry`GeometrySceneDrawer`Dump`var1556, PlaneGeometry`GeometrySceneDrawer`Dump`var1557} -> 5, {PlaneGeometry`GeometrySceneDrawer`Dump`var1558, PlaneGeometry`GeometrySceneDrawer`Dump`var1559} -> 6, {PlaneGeometry`GeometrySceneDrawer`Dump`var1560, PlaneGeometry`GeometrySceneDrawer`Dump`var1561} -> 7|>, PlaneGeometry`GeometrySceneDrawerDump`quantPosAssoc$$ = <||>, PlaneGeometry`GeometrySceneDrawerDump`rules$$ = {{{ C["GeometricPoint"][$CellContext`a] -> {0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`b] -> {0., 1.}, C["GeometricPoint"][$CellContext`c] -> {-0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`p] -> { 0.2906937030966784, -0.0018751224492381535`}, C["GeometricPoint"][$CellContext`pa] -> {-0.2887732435152425, 0.49983007036514027`}, C["GeometricPoint"][$CellContext`pb] -> {0.43522445549805583`, -0.5}, C["GeometricPoint"][$CellContext`pc] -> {0.5211380096158276, 0.09736248959006834}}, {}}}, PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$, PlaneGeometry`GeometrySceneDrawerDump`actionMenu$$ = ActionMenu[ Tooltip[ Graphics[{{ GrayLevel[0.9], Rectangle[{-2, -1.5}, {2, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.75, 0.5}, {0.75, 0.5}}], Line[{{-0.75, 0}, {0.75, 0}}], Line[{{-0.75, -0.5}, {0.75, -0.5}}]}}}, ImageSize -> {40, 30.}, AspectRatio -> Full, PlotRangePadding -> None], "Controls/Paste"], { "Hide Controls" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = False), Delimiter, Row[{ Dynamic[ RawBoxes[ FEPrivate`FrontEndResource["FEBitmaps", "BookmarkBullet"]]], " ", "Initial Settings"}] :> ({ PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$, PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$} = PlaneGeometry`GeometrySceneDrawerDump`initialValues$$), Delimiter, "Paste Current Graphics" :> CellPrint[ ExpressionCell[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], "Input"]], "Paste Current GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], MapThread[Cases, { Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Map[HoldPattern, Thread[Apply[Alternatives, Apply[Join, Transpose[ Take[ Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$\ , PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$}], PlaneGeometry`GeometrySceneDrawerDump`step$$]], {1}], { 1}] -> Blank[]]]}]}], If[False, ReplaceAll[ Take[ ReplaceAll[ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[GeometricStep]]}] :> Hold[PlaneGeometry`GeometrySceneDrawerDump`x]], PlaneGeometry`GeometrySceneDrawerDump`step$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], Replace[ Part[ Hold[{}], {1}, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, Blank[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], {}]], "Input"]], Delimiter, "Paste Complete GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]], "Input"]], "Paste Algebraic Formulation" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ First[ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]]["AlgebraicFormulation"], "Input"]], Delimiter, "Paste Parameters" :> CellPrint[ ExpressionCell[ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], "Input"]], "Paste Hypotheses" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], "Input"]], "Paste Conclusions" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{}]], "Input"]], Delimiter, "Find Conjectures" :> CellPrint[ ExpressionCell[ FindGeometricConjectures[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[ False, {{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, $CellContext`pa -> \ {-0.2887732435152425, 0.49983007036514027`}, $CellContext`pb -> { 0.43522445549805583`, -0.5}, $CellContext`pc -> { 0.5211380096158276, 0.09736248959006834}}, {}}}, First[{{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pa -> {-0.2887732435152425, 0.49983007036514027`}, $CellContext`pb -> { 0.43522445549805583`, -0.5}, $CellContext`pc -> { 0.5211380096158276, 0.09736248959006834}}, {}}}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]]], "Input"]]}, Appearance -> None, MenuAppearance -> "Menu"], PlaneGeometry`GeometrySceneDrawerDump`topControls$$ = Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ ActionMenu[ Tooltip[ Graphics[{{ GrayLevel[0.9], Rectangle[{-2, -1.5}, {2, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.75, 0.5}, {0.75, 0.5}}], Line[{{-0.75, 0}, {0.75, 0}}], Line[{{-0.75, -0.5}, {0.75, -0.5}}]}}}, ImageSize -> {40, 30.}, AspectRatio -> Full, PlotRangePadding -> None], "Controls/Paste"], { "Hide Controls" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = False), Delimiter, Row[{ Dynamic[ RawBoxes[ FEPrivate`FrontEndResource["FEBitmaps", "BookmarkBullet"]]], " ", "Initial Settings"}] :> ({ PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$, PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$} = PlaneGeometry`GeometrySceneDrawerDump`initialValues$$), Delimiter, "Paste Current Graphics" :> CellPrint[ ExpressionCell[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], "Input"]], "Paste Current GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], MapThread[Cases, { Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Map[HoldPattern, Thread[Apply[Alternatives, Apply[Join, Transpose[ Take[ Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$\ , PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$}], PlaneGeometry`GeometrySceneDrawerDump`step$$]], {1}], { 1}] -> Blank[]]]}]}], If[False, ReplaceAll[ Take[ ReplaceAll[ Hold[{ Triangle[{$CellContext`a, $CellContext`b, \ $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[GeometricStep]]}] :> Hold[PlaneGeometry`GeometrySceneDrawerDump`x]], PlaneGeometry`GeometrySceneDrawerDump`step$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], Replace[ Part[ Hold[{}], {1}, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, Blank[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], {}]], "Input"]], Delimiter, "Paste Complete GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[ PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]], "Input"]], "Paste Algebraic Formulation" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ First[ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[ PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]]["AlgebraicFormulation"], "Input"]], Delimiter, "Paste Parameters" :> CellPrint[ ExpressionCell[ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], "Input"]], "Paste Hypotheses" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], "Input"]], "Paste Conclusions" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{}]], "Input"]], Delimiter, "Find Conjectures" :> CellPrint[ ExpressionCell[ FindGeometricConjectures[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ GeometricScene][ If[ False, {{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pa -> {-0.2887732435152425, 0.49983007036514027`}, $CellContext`pb -> { 0.43522445549805583`, -0.5}, $CellContext`pc -> { 0.5211380096158276, 0.09736248959006834}}, {}}}, First[{{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pa -> {-0.2887732435152425, 0.49983007036514027`}, $CellContext`pb -> { 0.43522445549805583`, -0.5}, $CellContext`pc -> { 0.5211380096158276, 0.09736248959006834}}, {}}}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], And[ Element[$CellContext`pb, InfiniteLine[{$CellContext`p, $CellContext`b}]], Element[$CellContext`pb, InfiniteLine[{$CellContext`a, $CellContext`c}]]], And[ Element[$CellContext`pa, InfiniteLine[{$CellContext`p, $CellContext`a}]], Element[$CellContext`pa, InfiniteLine[{$CellContext`b, $CellContext`c}]]], And[ Element[$CellContext`pc, InfiniteLine[{$CellContext`p, $CellContext`c}]], Element[$CellContext`pc, InfiniteLine[{$CellContext`a, $CellContext`b}]]], \ $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]]], "Input"]]}, Appearance -> None, MenuAppearance -> "Menu"], "LinkHand"]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`topLabel$$ = Dynamic[ Grid[{{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 2], If[False, Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Pane[ Part[ PlaneGeometry`GeometrySceneDrawerDump`stepDescriptionList$$, PlaneGeometry`GeometrySceneDrawerDump`step$$], ImageSize -> { First[PlaneGeometry`GeometrySceneDrawerDump`size$$] - 110, 37.5}, Alignment -> {Center, Center}, ImageSizeAction -> "ShrinkToFit"], First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 4, 1.5]], PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 4]]], PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$[ Opacity[0]]}, If[ And[False, False], { PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 1, 1.5]}, Nothing]}, Spacings -> {0, 0}]], PlaneGeometry`GeometrySceneDrawerDump`imageControls$$ = Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ EventHandler[ Dynamic[ If[ PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$]], { "MouseClicked" :> (PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$])}], "LinkHand"], MouseAppearance[ Dynamic[ Which[ PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$, PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, EventHandler[ Dynamic[PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$)}, Method -> "Queued"], True, PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$]], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# - Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# + Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], {"MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = PlaneGeometry`GeometrySceneDrawerDump`findPlotRange[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]])}], "LinkHand"]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`bottomControls$$ = Grid[{{ Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ EventHandler[ Dynamic[ If[ PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$]], { "MouseClicked" :> (PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$])}], "LinkHand"], MouseAppearance[ Dynamic[ Which[ PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$, PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, EventHandler[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$)\ }, Method -> "Queued"], True, PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$]]\ , "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# - Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# + Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], {"MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = PlaneGeometry`GeometrySceneDrawerDump`findPlotRange[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]])}], "LinkHand"]}}, Spacings -> {0, 0}]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`bottomLabel$$ = Dynamic[ Grid[ If[False, {{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 1]}, { Grid[{{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Style["Conclusion", Larger, Bold, GrayLevel[0.6]], 5], PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 5]]}}, Spacings -> {0, 0}]}, { PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Pane[ Part[ PlaneGeometry`GeometrySceneDrawerDump`conclusionList$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], ImageSize -> { First[PlaneGeometry`GeometrySceneDrawerDump`size$$] - 30, 37.5}, Alignment -> {Center, Center}, ImageSizeAction -> "ShrinkToFit"], First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20, 1.5]}}, {{}}], Spacings -> {0, 0}]], PlaneGeometry`GeometrySceneDrawerDump`dynamicScene$$ = Dynamic[ MouseAppearance[ Piecewise[{{ EventHandler[ Dynamic[ Replace[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ ReplaceAll[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]], Map[{ Hue[0.58, 1, 1, 1], Pattern[PlaneGeometry`GeometrySceneDrawerDump`d, BlankNullSequence[]], Point[#]} :> { Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[#], Hue[0.58, 1, 1, 1], PlaneGeometry`GeometrySceneDrawerDump`d, Point[#]}& , Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Graphics[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`g$, Blank[]], Pattern[PlaneGeometry`GeometrySceneDrawerDump`o$, BlankNullSequence[]]] :> Graphics[{PlaneGeometry`GeometrySceneDrawerDump`g$, MapIndexed[ Function[{ PlaneGeometry`GeometrySceneDrawerDump`location$, PlaneGeometry`GeometrySceneDrawerDump`index$}, MouseAppearance[ Locator[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`location$, {( PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`current$$ = PlaneGeometry`GeometrySceneDrawerDump`index$; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]; PlaneGeometry`GeometrySceneDrawerDump`picPart$$ = If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}]; PlaneGeometry`GeometrySceneDrawerDump`ghosts$$ = Map[ PlaneGeometry`GeometrySceneDrawerDump`addStylings[Orange], Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , PlaneGeometry`GeometrySceneDrawerDump`currentPos$$]]; Null)& , ( Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Extract[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`index$]] = #; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`picPart$$ -> ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, Thread[Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , PlaneGeometry`GeometrySceneDrawerDump`currentPos$$] -> {#}]]]; Null)& , Function[ PlaneGeometry`GeometrySceneDrawerDump`loc$, PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}] -> {}]; \ {PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$} = PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicOptimizerInputs[ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`stepCount$$, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`\ generatedPointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`relativePos$$, PlaneGeometry`GeometrySceneDrawerDump`quantPosLists$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]], PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], Pick[ PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = CheckAbort[ TimeConstrained[ Fold[ PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicRulesFromOptimizer, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`optimizerInputs$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$}]], PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$, Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, { 1}]]]], Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, { 1}]]]]; { Part[ PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Part[ PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]} = ReplaceAll[{ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$}, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Apply[Rule, Map[ Reverse, PlaneGeometry`GeometrySceneDrawerDump`varray$$], {1}]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = { ReplaceAll[ Normal[ AssociationMap[ PlaneGeometry`GeometrySceneDrawerDump`point, PlaneGeometry`GeometrySceneDrawerDump`pointNames$$]], Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Select[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], MemberQ[ PlaneGeometry`GeometrySceneDrawerDump`quantNames$$, First[#]]& ]}; Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, 1]]; PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = {}; Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False; Null]}], None], "Arrow"]], Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]}, PlaneGeometry`GeometrySceneDrawerDump`o$, PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$]]], { If[ PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$ === PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$ === {}, Nothing, "MouseClicked" :> If[PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$, PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$ = AttachCell[PlaneGeometry`GeometrySceneDrawerDump`boxObj$$, DynamicModule[{}, PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$, InheritScope -> True], {Left, Bottom}, 0, {Left, Top}]]], "MouseDown" :> ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = MousePosition["GraphicsAbsolute"]; PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = True), "MouseDragged" :> If[PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$ = MousePosition["GraphicsAbsolute"]; AddTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ - PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$)/( First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/Abs[ Apply[Subtract, Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], {1}]])]; PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$; Null], "MouseUp" :> (PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False)}, PassEventsDown -> True], And[ Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$], PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$]}, { EventHandler[ Dynamic[ Replace[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ ReplaceAll[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]], Map[{ Hue[0.58, 1, 1, 1], Pattern[PlaneGeometry`GeometrySceneDrawerDump`d, BlankNullSequence[]], Point[#]} :> { Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[#], Hue[0.58, 1, 1, 1], PlaneGeometry`GeometrySceneDrawerDump`d, Point[#]}& , Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Graphics[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`g$, Blank[]], Pattern[PlaneGeometry`GeometrySceneDrawerDump`o$, BlankNullSequence[]]] :> Graphics[{PlaneGeometry`GeometrySceneDrawerDump`g$, MapIndexed[ Function[{ PlaneGeometry`GeometrySceneDrawerDump`location$, PlaneGeometry`GeometrySceneDrawerDump`index$}, MouseAppearance[ Locator[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`location$, {( PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`current$$ = Union[PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`index$]; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]; PlaneGeometry`GeometrySceneDrawerDump`picPart$$ = If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}]; PlaneGeometry`GeometrySceneDrawerDump`ghosts$$ = Map[ PlaneGeometry`GeometrySceneDrawerDump`addStylings[Orange], Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , PlaneGeometry`GeometrySceneDrawerDump`currentPos$$]]; Null)& , ( Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Extract[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`index$]] = #; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`picPart$$ -> ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, Thread[ Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointNames$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$] -> Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]]]]]; Null)& , Null& }], None], "Arrow"]], Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]}, PlaneGeometry`GeometrySceneDrawerDump`o$, PlotRange -> Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$]]], { If[ PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$ === PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$ === {}, Nothing, "MouseClicked" :> If[PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$, PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$ = AttachCell[PlaneGeometry`GeometrySceneDrawerDump`boxObj$$, DynamicModule[{}, PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$, InheritScope -> True], {Left, Bottom}, 0, {Left, Top}]]], "MouseDown" :> ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = MousePosition["GraphicsAbsolute"]; PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = True; Null), "MouseDragged" :> If[PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$ = MousePosition["GraphicsAbsolute"]; AddTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ - PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$)/( First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/Abs[ Apply[Subtract, Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], {1}]])]; PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$; Null], "MouseUp" :> (PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; Null)}, PassEventsDown -> True], And[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, Not[PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$]]}}, PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; {PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$} = PlaneGeometry`GeometrySceneDrawerDump`findDynamicOptimizerInputs[ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`stepCount$$, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`generatedPointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`pointIndices$$, PlaneGeometry`GeometrySceneDrawerDump`quantPosLists$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], Pick[ PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = CheckAbort[ TimeConstrained[ Fold[ PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicRulesFromOptimizer, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`optimizerInputs$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$}]], PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$, Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, {1}]]]], Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, {1}]]]]; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}] -> {}]; { Part[ PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Part[ PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]} = ReplaceAll[{ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$}, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Apply[Rule, Map[Reverse, PlaneGeometry`GeometrySceneDrawerDump`varray$$], { 1}]]; Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = { ReplaceAll[ Normal[ AssociationMap[ PlaneGeometry`GeometrySceneDrawerDump`point, PlaneGeometry`GeometrySceneDrawerDump`pointNames$$]], Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Select[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], MemberQ[ PlaneGeometry`GeometrySceneDrawerDump`quantNames$$, First[#]]& ]}; Part[PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, 1]]; Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = Part[PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]; PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False; Null], "DragGraphics"], SynchronousUpdating -> False], PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$ = EventHandler[ Panel[ Grid[{{ Text[ Style["Points", Bold]]}, { Grid[{{ MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 1], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 1]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 1], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 1], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 2], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 2]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 2], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 2], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 3], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 3]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 3], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 3], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 4], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 4]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 4], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 4], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 5], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 5]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 5], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 5], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 6], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 6]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 6], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 6], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 7], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 7]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 7], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 7], Not]}, PassEventsUp -> False], "LinkHand"]}}]}, { Grid[{{ Graphics[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[11], Point[{0, 0}], Hue[0.58, 1, 1, 1], AbsolutePointSize[7], Point[{0, 0}]}, ImageSize -> {11, 11}], "pinned", Graphics[{ Hue[0.58, 1, 1, 1], AbsolutePointSize[7], Point[{0, 0}]}, ImageSize -> {11, 11}], "unpinned"}}]}}, Alignment -> Left, Dividers -> False], Background -> GrayLevel[0.9]], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$])}], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$, PlaneGeometry`GeometrySceneDrawerDump`display$$, PlaneGeometry`GeometrySceneDrawerDump`noControlsScene$$ = MouseAppearance[ Dynamic[ EventHandler[ Tooltip[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], { PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$}], "Show Controls"], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = True)}, PassEventsUp -> False]], "LinkHand"], PlaneGeometry`GeometrySceneDrawerDump`leftArrowIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1.5}, {1, 1.5}], Rectangle[{-1, -1.5}, {1, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{0.25, 0.5}, {-0.25, 0}, {0.25, -0.5}}]}}, ImageSize -> {20, 30.}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`rightArrowIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1.5}, {0, 1.5}], Rectangle[{-1, -1.5}, {1, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.25, 0.5}, {0.25, 0}, {-0.25, -0.5}}]}}, ImageSize -> {20, 30.}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {2.5, 1}], Rectangle[{-2.5, -1}, {2.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], {{ EdgeForm[{ Thickness[Tiny], RGBColor[0.161, 0.667, 0.887]}], GrayLevel[1], RegularPolygon[{-1.25, 0}, 0.75, 4]}, Line[{{-1.75, 0}, {-1.375, -0.375}, {-0.75, 0.5}}], Text[ Style["Auto", Larger, Bold], {1, 0}]}}}, ImageSize -> {50., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {2.5, 1}], Rectangle[{-2.5, -1}, {2.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], {{ EdgeForm[{ Thickness[Tiny], RGBColor[0.161, 0.667, 0.887]}], GrayLevel[1], RegularPolygon[{-1.25, 0}, 0.75, 4]}, Text[ Style["Auto", Larger, Bold], {1, 0}]}}}, ImageSize -> {50., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$ = Graphics[{{ RGBColor[0.161, 0.667, 0.887], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold, GrayLevel[0.9]]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold, GrayLevel[0.6]]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`zoomInIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`zoomOutIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`recenterIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`popupIcon$$, PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$ = {{{1, 2, 3, 4, 5, 6, 7}}}, PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$ = {{{}}}, PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$ = {{{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pa ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pb ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pc ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}}, PlaneGeometry`GeometrySceneDrawerDump`unfixedQuantStylings$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`cloudDisplay$$ = Graphics[{{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}}]}, { InfiniteLine[{ 0.2906937030966784, -0.0018751224492381535`}, {-0.2906937030966784, 1.0018751224492382`}]}, { InfiniteLine[{0.8660254037844386, -0.5}, {-1.7320508075688772`, 0.}]}, { InfiniteLine[{0.2906937030966784, -0.0018751224492381535`}, { 0.5753317006877602, -0.49812487755076185`}]}, { InfiniteLine[{0., 1.}, {-0.8660254037844386, -1.5}]}, { InfiniteLine[{ 0.2906937030966784, -0.0018751224492381535`}, \ {-1.1567191068811171`, -0.49812487755076185`}]}, { InfiniteLine[{0.8660254037844386, -0.5}, {-0.8660254037844386, 1.5}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0.8660254037844386, -0.5}]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], { 0.8660254037844386, -0.5}], { AbsolutePointSize[17], Opacity[0], Point[{0.8660254037844386, -0.5}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0., 1.}]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0., 1.}], { AbsolutePointSize[17], Opacity[0], Point[{0., 1.}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{-0.8660254037844386, -0.5}]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {-0.8660254037844386, -0.5}], { AbsolutePointSize[17], Opacity[0], Point[{-0.8660254037844386, -0.5}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0.2906937030966784, -0.0018751224492381535`}]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], { 0.2906937030966784, -0.0018751224492381535`}], { AbsolutePointSize[17], Opacity[0], Point[{0.2906937030966784, -0.0018751224492381535`}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{-0.2887732435152425, 0.49983007036514027`}]}, Inset[ Style[" pa ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {-0.2887732435152425, 0.49983007036514027`}], { AbsolutePointSize[17], Opacity[0], Point[{-0.2887732435152425, 0.49983007036514027`}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0.43522445549805583`, -0.5}]}, Inset[ Style[" pb ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], { 0.43522445549805583`, -0.5}], { AbsolutePointSize[17], Opacity[0], Point[{0.43522445549805583`, -0.5}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0.5211380096158276, 0.09736248959006834}]}, Inset[ Style[" pc ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], { 0.5211380096158276, 0.09736248959006834}], { AbsolutePointSize[17], Opacity[0], Point[{0.5211380096158276, 0.09736248959006834}]}}}, {}}}, Background -> GrayLevel[1], { PlotRange -> {{-1.3392304845413263`, 1.3392304845413263`}, {-1.0892304845413263`, 1.5892304845413263`}}, ImageSize -> {{380, 380}, {380, 380}}}], PlaneGeometry`GeometrySceneDrawerDump`boxObj$$ = BoxObject[19073]}, StyleBox[ FrameBox[ PaneBox[ PaneSelectorBox[{False-> DynamicBox[ToBoxes[ If[PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$, Column[{ If[ False, PlaneGeometry`GeometrySceneDrawerDump`topControls$$, PlaneGeometry`GeometrySceneDrawerDump`topLabel$$], Pane[ PlaneGeometry`GeometrySceneDrawerDump`dynamicScene$$, ImageSize -> Dynamic[PlaneGeometry`GeometrySceneDrawerDump`size$$, ( PlaneGeometry`GeometrySceneDrawerDump`size$$ = Max[ First[#], 205] {1, 1})& ], ImageSizeAction -> "ResizeToFit", AppearanceElements -> {"ResizeArea"}], If[ False, PlaneGeometry`GeometrySceneDrawerDump`bottomControls$$, PlaneGeometry`GeometrySceneDrawerDump`bottomLabel$$]}], PlaneGeometry`GeometrySceneDrawerDump`noControlsScene$$], StandardForm], ImageSizeCache->{380., {213.8875, 219.5125}}], True-> TagBox[ DynamicBox[ToBoxes[ If[PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$, Column[{ If[ True, PlaneGeometry`GeometrySceneDrawerDump`topControls$$, PlaneGeometry`GeometrySceneDrawerDump`topLabel$$], Pane[ PlaneGeometry`GeometrySceneDrawerDump`dynamicScene$$, ImageSize -> Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`size$$, ( PlaneGeometry`GeometrySceneDrawerDump`size$$ = Max[ First[#], 205] {1, 1})& ], ImageSizeAction -> "ResizeToFit", AppearanceElements -> {"ResizeArea"}], If[ True, PlaneGeometry`GeometrySceneDrawerDump`bottomControls$$, PlaneGeometry`GeometrySceneDrawerDump`bottomLabel$$]}], PlaneGeometry`GeometrySceneDrawerDump`noControlsScene$$], StandardForm], ImageSizeCache->{380., {217.3875, 223.0125}}], MouseAppearanceTag["Arrow"]]}, Dynamic[ CurrentValue["MouseOver"]], FrameMargins->0, ImageSize->All], ImageSize->Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`size$$ + {0, 65 + If[ And[False, False], 30, 0] + If[False, 50, 0]}]], FrameStyle->GrayLevel[0.9], StripOnInput->False], StripOnInput->False, DynamicEvaluationTimeout->20, ImageSize->Automatic, BaseStyle -> { SetterBoxOptions -> {ImageSize -> Automatic}, PopupMenuBoxOptions -> {ImageSize -> Automatic}}], DynamicModuleValues:>{{ DownValues[PlaneGeometry`GeometrySceneDrawerDump`display$$] = { HoldPattern[ PlaneGeometry`GeometrySceneDrawerDump`display$$[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`mouseoverQ$, Blank[]]]] :> Dynamic[ If[PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$, Column[{ If[ PlaneGeometry`GeometrySceneDrawerDump`mouseoverQ$, PlaneGeometry`GeometrySceneDrawerDump`topControls$$, PlaneGeometry`GeometrySceneDrawerDump`topLabel$$], Pane[ PlaneGeometry`GeometrySceneDrawerDump`dynamicScene$$, ImageSize -> Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`size$$, ( PlaneGeometry`GeometrySceneDrawerDump`size$$ = Max[ First[#], 205] {1, 1})& ], ImageSizeAction -> "ResizeToFit", AppearanceElements -> {"ResizeArea"}], If[ PlaneGeometry`GeometrySceneDrawerDump`mouseoverQ$, PlaneGeometry`GeometrySceneDrawerDump`bottomControls$$, PlaneGeometry`GeometrySceneDrawerDump`bottomLabel$$]}], PlaneGeometry`GeometrySceneDrawerDump`noControlsScene$$]]}}, { DownValues[PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$] = { HoldPattern[ PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`color, RepeatedNull[ Blank[], 1]]]] :> PlaneGeometry`GeometrySceneDrawerDump`makeIcon[{ Line[{{-0.75, 0.5}, {0.75, 0.5}}], Line[{{-0.75, 0}, {0.75, 0}}], Line[{{-0.75, -0.5}, {0.75, -0.5}}]}, "both", 2, 1.5, PlaneGeometry`GeometrySceneDrawerDump`color]}}, { DownValues[PlaneGeometry`GeometrySceneDrawerDump`popupIcon$$] = { HoldPattern[ PlaneGeometry`GeometrySceneDrawerDump`popupIcon$$[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`text, Blank[]], Optional[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`widthFactor, Blank[]], 1], Optional[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`heightFactor, Blank[]], 1]]] :> PlaneGeometry`GeometrySceneDrawerDump`makeIcon[{ Text[ Style[ PlaneGeometry`GeometrySceneDrawerDump`text, Larger, Black], {0, 0}], Line[{{PlaneGeometry`GeometrySceneDrawerDump`widthFactor - 1.5, 0.25}, { PlaneGeometry`GeometrySceneDrawerDump`widthFactor - 1, -0.25}, { PlaneGeometry`GeometrySceneDrawerDump`widthFactor - 0.5, 0.25}}]}, "both", PlaneGeometry`GeometrySceneDrawerDump`widthFactor, PlaneGeometry`GeometrySceneDrawerDump`heightFactor]}}, { DownValues[PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$] = { HoldPattern[ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`text, Blank[]], Optional[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`widthFactor, Blank[]], 1], Optional[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`heightFactor, Blank[]], 1]]] :> PlaneGeometry`GeometrySceneDrawerDump`makeIcon[ Text[ Style[ PlaneGeometry`GeometrySceneDrawerDump`text, Larger, Black], {0, 0}], "both", PlaneGeometry`GeometrySceneDrawerDump`widthFactor, PlaneGeometry`GeometrySceneDrawerDump`heightFactor, White]}}}, Initialization:>(GeometricScene; PlaneGeometry`GeometrySceneDrawerDump`boxObj$$ = EvaluationBox[])], Deploy, 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PlaneGeometry`GeometrySceneDrawer`Dump`var2509) + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2510) ( PlaneGeometry`GeometrySceneDrawer`Dump`var2504 - PlaneGeometry`GeometrySceneDrawer`Dump`var2510))^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2497 - PlaneGeometry`GeometrySceneDrawer`Dump`var2499) PlaneGeometry`GeometrySceneDrawer`Dump`var2511)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2500) PlaneGeometry`GeometrySceneDrawer`Dump`var2512)^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2497 - PlaneGeometry`GeometrySceneDrawer`Dump`var2501) PlaneGeometry`GeometrySceneDrawer`Dump`var2513)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2502) PlaneGeometry`GeometrySceneDrawer`Dump`var2514)^2 + ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2499 - PlaneGeometry`GeometrySceneDrawer`Dump`var2501) PlaneGeometry`GeometrySceneDrawer`Dump`var2515)^2 ( 1 - (PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - PlaneGeometry`GeometrySceneDrawer`Dump`var2502) PlaneGeometry`GeometrySceneDrawer`Dump`var2516)^2 + ( 1 - (-(-PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2500) (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2501) + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2499) (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502)) PlaneGeometry`GeometrySceneDrawer`Dump`var2517)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2505) PlaneGeometry`GeometrySceneDrawer`Dump`var2518)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2506) PlaneGeometry`GeometrySceneDrawer`Dump`var2518)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2501 + Rational[1, 2] (-PlaneGeometry`GeometrySceneDrawer`Dump`var2497 - PlaneGeometry`GeometrySceneDrawer`Dump`var2499 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2509) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2507) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2509) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2509) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2507) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2507) PlaneGeometry`GeometrySceneDrawer`Dump`var2520 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2509) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2507) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2502 + Rational[1, 2] (-PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2510) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2508) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2510) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2510) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2508) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2508) PlaneGeometry`GeometrySceneDrawer`Dump`var2520 + Rational[1, 2] (PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2510) PlaneGeometry`GeometrySceneDrawer`Dump`var2519 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2508) PlaneGeometry`GeometrySceneDrawer`Dump`var2520))^2, { Rational[1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2500) PlaneGeometry`GeometrySceneDrawer`Dump`var2501 + PlaneGeometry`GeometrySceneDrawer`Dump`var2497 ( PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - PlaneGeometry`GeometrySceneDrawer`Dump`var2502) + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502))^2 >= 0.1, Rational[ 1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2500) PlaneGeometry`GeometrySceneDrawer`Dump`var2501 + PlaneGeometry`GeometrySceneDrawer`Dump`var2497 ( PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - PlaneGeometry`GeometrySceneDrawer`Dump`var2502) + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502))^2 >= 0.1, Rational[ 1, 4] ((PlaneGeometry`GeometrySceneDrawer`Dump`var2498 - PlaneGeometry`GeometrySceneDrawer`Dump`var2500) PlaneGeometry`GeometrySceneDrawer`Dump`var2501 + PlaneGeometry`GeometrySceneDrawer`Dump`var2497 ( PlaneGeometry`GeometrySceneDrawer`Dump`var2500 - PlaneGeometry`GeometrySceneDrawer`Dump`var2502) + PlaneGeometry`GeometrySceneDrawer`Dump`var2499 (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502))^2 >= 0.1, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2499)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2500)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2501)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2497 + PlaneGeometry`GeometrySceneDrawer`Dump`var2509)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2498 + PlaneGeometry`GeometrySceneDrawer`Dump`var2510)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2501)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2502)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2499 + PlaneGeometry`GeometrySceneDrawer`Dump`var2505)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2500 + PlaneGeometry`GeometrySceneDrawer`Dump`var2506)^2 >= 0.03, (-PlaneGeometry`GeometrySceneDrawer`Dump`var2501 + PlaneGeometry`GeometrySceneDrawer`Dump`var2507)^2 + (- PlaneGeometry`GeometrySceneDrawer`Dump`var2502 + PlaneGeometry`GeometrySceneDrawer`Dump`var2508)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var2503 - PlaneGeometry`GeometrySceneDrawer`Dump`var2505)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2504 - PlaneGeometry`GeometrySceneDrawer`Dump`var2506)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var2503 - PlaneGeometry`GeometrySceneDrawer`Dump`var2507)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2504 - PlaneGeometry`GeometrySceneDrawer`Dump`var2508)^2 >= 0.03, (PlaneGeometry`GeometrySceneDrawer`Dump`var2503 - PlaneGeometry`GeometrySceneDrawer`Dump`var2509)^2 + ( PlaneGeometry`GeometrySceneDrawer`Dump`var2504 - PlaneGeometry`GeometrySceneDrawer`Dump`var2510)^2 >= 0.03}, {{ PlaneGeometry`GeometrySceneDrawer`Dump`var2497, PlaneGeometry`GeometrySceneDrawer`Dump`var2498, PlaneGeometry`GeometrySceneDrawer`Dump`var2499, PlaneGeometry`GeometrySceneDrawer`Dump`var2500, PlaneGeometry`GeometrySceneDrawer`Dump`var2501, PlaneGeometry`GeometrySceneDrawer`Dump`var2502, PlaneGeometry`GeometrySceneDrawer`Dump`var2503, PlaneGeometry`GeometrySceneDrawer`Dump`var2504, PlaneGeometry`GeometrySceneDrawer`Dump`var2505, PlaneGeometry`GeometrySceneDrawer`Dump`var2506, PlaneGeometry`GeometrySceneDrawer`Dump`var2507, PlaneGeometry`GeometrySceneDrawer`Dump`var2508, PlaneGeometry`GeometrySceneDrawer`Dump`var2509, PlaneGeometry`GeometrySceneDrawer`Dump`var2510}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2511, PlaneGeometry`GeometrySceneDrawer`Dump`var2512, PlaneGeometry`GeometrySceneDrawer`Dump`var2513, PlaneGeometry`GeometrySceneDrawer`Dump`var2514, PlaneGeometry`GeometrySceneDrawer`Dump`var2515, PlaneGeometry`GeometrySceneDrawer`Dump`var2516, PlaneGeometry`GeometrySceneDrawer`Dump`var2517}, {{}, {}, {}, {}, {}, \ {}, {}, {}, {}, {PlaneGeometry`GeometrySceneDrawer`Dump`var2518}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2519}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2520}}}}}, PlaneGeometry`GeometrySceneDrawerDump`objectiveList$$ = {( Rational[-1, 2] 3^Rational[1, 2] + C["GeometricPoint"][$CellContext`a][1])^2 + (Rational[1, 2] + C["GeometricPoint"][$CellContext`a][2])^2 + C["GeometricPoint"][$CellContext`b][ 1]^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2490] ( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`b][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2491] ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]))^2 + (-1 + C["GeometricPoint"][$CellContext`b][2])^2 + ( Rational[1, 2] 3^Rational[1, 2] + C["GeometricPoint"][$CellContext`c][1])^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2492] ( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`c][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2493] ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`c][2]))^2 + (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2494] ( C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`c][1]))^2 (1 - "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2495] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]))^2 + (Rational[1, 2] + C["GeometricPoint"][$CellContext`c][2])^2 + (1 - "notVar"[ PlaneGeometry`GeometrySceneDrawer`Dump`var2496] (-(- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]) (- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1]) + (- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1]) (- C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][ 2])))^2 + (-0.290693703096678413`7.977294885095501 + C["GeometricPoint"][$CellContext`p][1])^2 + ( 0.00187512244923815352137808076804503798`7.977294885095501 + C["GeometricPoint"][$CellContext`p][2])^2 + (- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] - "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pl][1]))^2 + (( C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`pl][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pl][1]) + ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`pl][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pl][2]))^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] - "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pl][2]))^2 + (( C["GeometricPoint"][$CellContext`c][1] - C[ "GeometricPoint"][$CellContext`pm][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pm][1]) + ( C["GeometricPoint"][$CellContext`c][2] - C[ "GeometricPoint"][$CellContext`pm][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pm][2]))^2 + ( C["GeometricPoint"][$CellContext`c][1] + Rational[1, 2] (-C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`b][1] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pm][1]) - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1])))^2 + (- C["GeometricPoint"][$CellContext`b][1] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pm][1]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pm][1]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1])))^2 + (- C["GeometricPoint"][$CellContext`a][1] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pm][1]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1])))^2 + (( C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`pn][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pn][1]) + ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`pn][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pn][2]))^2 + ( C["GeometricPoint"][$CellContext`c][2] + Rational[1, 2] (-C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pm][2]) - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2])))^2 + (- C["GeometricPoint"][$CellContext`b][2] - "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pm][2]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pm][2]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2])))^2 + (- C["GeometricPoint"][$CellContext`a][2] - "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2]) + Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pm][2]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2])))^2}, PlaneGeometry`GeometrySceneDrawerDump`constraintsList$$ = {{ Rational[1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, Rational[1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, Rational[1, 4] ((C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`b][2]) C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`a][1] ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`c][2]) + C["GeometricPoint"][$CellContext`b][ 1] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]))^2 >= 0.1, (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1])^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1])^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1])^2 + (- C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1])^2 + (- C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pl][1])^2 + (- C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pl][2])^2 >= 0.03, (-C["GeometricPoint"][$CellContext`c][1] + C["GeometricPoint"][$CellContext`pm][1])^2 + (- C["GeometricPoint"][$CellContext`c][2] + C["GeometricPoint"][$CellContext`pm][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pl][1])^2 + ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pl][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pm][1])^2 + ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pm][2])^2 >= 0.03, (C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pn][1])^2 + ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pn][2])^2 >= 0.03}}, PlaneGeometry`GeometrySceneDrawerDump`formattedVarsList$$ = {{{ C["GeometricPoint"][$CellContext`a][1], C["GeometricPoint"][$CellContext`a][2], C["GeometricPoint"][$CellContext`b][1], C["GeometricPoint"][$CellContext`b][2], C["GeometricPoint"][$CellContext`c][1], C["GeometricPoint"][$CellContext`c][2], C["GeometricPoint"][$CellContext`p][1], C["GeometricPoint"][$CellContext`p][2], C["GeometricPoint"][$CellContext`pl][1], C["GeometricPoint"][$CellContext`pl][2], C["GeometricPoint"][$CellContext`pm][1], C["GeometricPoint"][$CellContext`pm][2], C["GeometricPoint"][$CellContext`pn][1], C["GeometricPoint"][$CellContext`pn][2]}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2490], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2491], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2492], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2493], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2494], "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2495], "notVar"[ PlaneGeometry`GeometrySceneDrawer`Dump`var2496]}, {{}, {}, {}, {}, {}, \ {}, {}, {}, {}, { "paramVar"[{1}][10, 2]}, { "paramVar"[{1}][11, 2]}, { "paramVar"[{1}][12, 2]}}}}, PlaneGeometry`GeometrySceneDrawerDump`equalitiesList$$ = {{ C["GeometricPoint"][$CellContext`a][1] == Rational[1, 2] 3^Rational[1, 2], C["GeometricPoint"][$CellContext`a][2] == Rational[-1, 2], C["GeometricPoint"][$CellContext`b][1] == 0, C["GeometricPoint"][$CellContext`b][2] == 1, C["GeometricPoint"][$CellContext`c][1] == Rational[-1, 2] 3^Rational[1, 2], C["GeometricPoint"][$CellContext`c][2] == Rational[-1, 2], C["GeometricPoint"][$CellContext`p][1] == 0.290693703096678413`7.977294885095501, C["GeometricPoint"][$CellContext`p][ 2] == -0.00187512244923815352137808076804503798`7.977294885095501, ( C["GeometricPoint"][$CellContext`b][1] - C[ "GeometricPoint"][$CellContext`pl][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pl][1]) + ( C["GeometricPoint"][$CellContext`b][2] - C[ "GeometricPoint"][$CellContext`pl][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pl][2]) == 0, (C["GeometricPoint"][$CellContext`c][1] - C[ "GeometricPoint"][$CellContext`pm][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pm][1]) + ( C["GeometricPoint"][$CellContext`c][2] - C[ "GeometricPoint"][$CellContext`pm][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pm][2]) == 0, (C["GeometricPoint"][$CellContext`a][1] - C[ "GeometricPoint"][$CellContext`pn][1]) ( C["GeometricPoint"][$CellContext`p][1] - C[ "GeometricPoint"][$CellContext`pn][1]) + ( C["GeometricPoint"][$CellContext`a][2] - C[ "GeometricPoint"][$CellContext`pn][2]) ( C["GeometricPoint"][$CellContext`p][2] - C[ "GeometricPoint"][$CellContext`pn][2]) == 0, C["GeometricPoint"][$CellContext`b][1] == C["GeometricPoint"][$CellContext`a][1] + "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pl][1]), C["GeometricPoint"][$CellContext`b][2] == C["GeometricPoint"][$CellContext`a][2] + "paramVar"[{1}][10, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pl][2]), C["GeometricPoint"][$CellContext`c][1] == Rational[1, 2] (C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`pm][1]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`pn][1])), C["GeometricPoint"][$CellContext`c][2] == Rational[1, 2] (C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2] + "paramVar"[{1}][12, 2] (-C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`pm][2]) + "paramVar"[{1}][11, 2] (-C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`pn][2]))}}, PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = True, PlaneGeometry`GeometrySceneDrawerDump`initialValues$$ = { 1, 1, 0, {{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {0.5064980795045123, 0.12271959236212407`}, {-0.3611512371700405, 0.37446772288150176`}, { 0.29069370906237063`, -0.5000000068918066}}}, {{}}, {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {0.5064980795045123, 0.12271959236212407`}, {-0.3611512371700405, 0.37446772288150176`}, { 0.29069370906237063`, -0.5000000068918066}}}, {{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c]}]}, PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`b], {- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`a]]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`a]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`a]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`b]]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`b]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`b]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`c]]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`c]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`c]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`p]]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`p]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`p]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pl]]}, Inset[ Style[" pl ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pl]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pl]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pm]]}, Inset[ Style[" pm ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pm]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pm]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pn]]}, Inset[ Style[" pn ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pn]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pn]]}}}, {}}}, {{{ C["GeometricPoint"][$CellContext`a] -> {0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`b] -> {0., 1.}, C["GeometricPoint"][$CellContext`c] -> {-0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`p] -> { 0.2906937030966784, -0.0018751224492381535`}, C["GeometricPoint"][$CellContext`pl] -> {0.5064980795045123, 0.12271959236212407`}, C["GeometricPoint"][$CellContext`pm] -> {-0.3611512371700405, 0.37446772288150176`}, C["GeometricPoint"][$CellContext`pn] -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}, {{{ False, False, False, False, False, False, False}}}, {{{}}}, False, True, {}, {}, {{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {0.5064980795045123, 0.12271959236212407`}, {-0.3611512371700405, 0.37446772288150176`}, { 0.29069370906237063`, -0.5000000068918066}}}, {{{-1.3392304845413263`, 1.3392304845413263`}, {-1.0892304879872297`, 1.589230481095423}}}}, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$ = \ {{{-1.3392304845413263`, 1.3392304845413263`}, {-1.0892304879872297`, 1.589230481095423}}}, PlaneGeometry`GeometrySceneDrawerDump`conclusionList$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$ = {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {0.5064980795045123, 0.12271959236212407`}, {-0.3611512371700405, 0.37446772288150176`}, { 0.29069370906237063`, -0.5000000068918066}}}, PlaneGeometry`GeometrySceneDrawerDump`picPart$$, PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = True, PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$ = {{{ 0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}, { 0.2906937030966784, -0.0018751224492381535`}, {0.5064980795045123, 0.12271959236212407`}, {-0.3611512371700405, 0.37446772288150176`}, { 0.29069370906237063`, -0.5000000068918066}}}, PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$ = {{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`p], C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`pn]}}, PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$, PlaneGeometry`GeometrySceneDrawerDump`size$$ = {380, 380}, PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$ = 10, PlaneGeometry`GeometrySceneDrawerDump`pics$$ = {{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`c]}]}, PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], PlaneGeometry`GeometrySceneDrawerDump`makeAngleGraphics[{ PlaneGeometry`GeometrySceneDrawerDump`geoAngle[ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]], Polygon[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]}]} -> Rational[1, 2] Pi], { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`c], C["GeometricPoint"][$CellContext`pm]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pm], C["GeometricPoint"][$CellContext`p]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`b], C["GeometricPoint"][$CellContext`pl]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pl], C["GeometricPoint"][$CellContext`p]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`a], C["GeometricPoint"][$CellContext`pn]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{ C["GeometricPoint"][$CellContext`pn], C["GeometricPoint"][$CellContext`p]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`b], {- C["GeometricPoint"][$CellContext`b][1] + C["GeometricPoint"][$CellContext`c][1], - C["GeometricPoint"][$CellContext`b][2] + C["GeometricPoint"][$CellContext`c][2]}]}, { InfiniteLine[ C[ "GeometricPoint"][$CellContext`a], {- C["GeometricPoint"][$CellContext`a][1] + C["GeometricPoint"][$CellContext`b][1], - C["GeometricPoint"][$CellContext`a][2] + C["GeometricPoint"][$CellContext`b][2]}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`a]]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`a]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`a]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`b]]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`b]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`b]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`c]]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`c]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`c]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`p]]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`p]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`p]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pl]]}, Inset[ Style[" pl ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pl]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pl]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pm]]}, Inset[ Style[" pm ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pm]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pm]]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[ C["GeometricPoint"][$CellContext`pn]]}, Inset[ Style[" pn ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], C["GeometricPoint"][$CellContext`pn]], { AbsolutePointSize[17], Opacity[0], Point[ C["GeometricPoint"][$CellContext`pn]]}}}, {}}}, PlaneGeometry`GeometrySceneDrawerDump`varray$$ = {{ C["GeometricPoint"][$CellContext`a][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2497}, { C["GeometricPoint"][$CellContext`a][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2498}, { C["GeometricPoint"][$CellContext`b][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2499}, { C["GeometricPoint"][$CellContext`b][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2500}, { C["GeometricPoint"][$CellContext`c][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2501}, { C["GeometricPoint"][$CellContext`c][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2502}, { C["GeometricPoint"][$CellContext`p][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2503}, { C["GeometricPoint"][$CellContext`p][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2504}, { C["GeometricPoint"][$CellContext`pl][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2505}, { C["GeometricPoint"][$CellContext`pl][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2506}, { C["GeometricPoint"][$CellContext`pm][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2507}, { C["GeometricPoint"][$CellContext`pm][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2508}, { C["GeometricPoint"][$CellContext`pn][1], PlaneGeometry`GeometrySceneDrawer`Dump`var2509}, { C["GeometricPoint"][$CellContext`pn][2], PlaneGeometry`GeometrySceneDrawer`Dump`var2510}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2490], PlaneGeometry`GeometrySceneDrawer`Dump`var2511}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2491], PlaneGeometry`GeometrySceneDrawer`Dump`var2512}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2492], PlaneGeometry`GeometrySceneDrawer`Dump`var2513}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2493], PlaneGeometry`GeometrySceneDrawer`Dump`var2514}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2494], PlaneGeometry`GeometrySceneDrawer`Dump`var2515}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2495], PlaneGeometry`GeometrySceneDrawer`Dump`var2516}, { "notVar"[PlaneGeometry`GeometrySceneDrawer`Dump`var2496], PlaneGeometry`GeometrySceneDrawer`Dump`var2517}, { "paramVar"[{1}][10, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var2518}, { "paramVar"[{1}][11, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var2519}, { "paramVar"[{1}][12, 2], PlaneGeometry`GeometrySceneDrawer`Dump`var2520}}, PlaneGeometry`GeometrySceneDrawerDump`pointLists$$ = {{{ PlaneGeometry`GeometrySceneDrawer`Dump`var2497, PlaneGeometry`GeometrySceneDrawer`Dump`var2498}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2499, PlaneGeometry`GeometrySceneDrawer`Dump`var2500}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2501, PlaneGeometry`GeometrySceneDrawer`Dump`var2502}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2503, PlaneGeometry`GeometrySceneDrawer`Dump`var2504}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2505, PlaneGeometry`GeometrySceneDrawer`Dump`var2506}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2507, PlaneGeometry`GeometrySceneDrawer`Dump`var2508}, { PlaneGeometry`GeometrySceneDrawer`Dump`var2509, PlaneGeometry`GeometrySceneDrawer`Dump`var2510}}}, PlaneGeometry`GeometrySceneDrawerDump`generatedPointLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`quantLists$$ = {{}}, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$ = <|{ PlaneGeometry`GeometrySceneDrawer`Dump`var2497, PlaneGeometry`GeometrySceneDrawer`Dump`var2498} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2499, PlaneGeometry`GeometrySceneDrawer`Dump`var2500} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2501, PlaneGeometry`GeometrySceneDrawer`Dump`var2502} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2503, PlaneGeometry`GeometrySceneDrawer`Dump`var2504} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2505, PlaneGeometry`GeometrySceneDrawer`Dump`var2506} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2507, PlaneGeometry`GeometrySceneDrawer`Dump`var2508} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2509, PlaneGeometry`GeometrySceneDrawer`Dump`var2510} -> 1|>, PlaneGeometry`GeometrySceneDrawerDump`pointPosAssoc$$ = <|{ PlaneGeometry`GeometrySceneDrawer`Dump`var2497, PlaneGeometry`GeometrySceneDrawer`Dump`var2498} -> 1, {PlaneGeometry`GeometrySceneDrawer`Dump`var2499, PlaneGeometry`GeometrySceneDrawer`Dump`var2500} -> 2, {PlaneGeometry`GeometrySceneDrawer`Dump`var2501, PlaneGeometry`GeometrySceneDrawer`Dump`var2502} -> 3, {PlaneGeometry`GeometrySceneDrawer`Dump`var2503, PlaneGeometry`GeometrySceneDrawer`Dump`var2504} -> 4, {PlaneGeometry`GeometrySceneDrawer`Dump`var2505, PlaneGeometry`GeometrySceneDrawer`Dump`var2506} -> 5, {PlaneGeometry`GeometrySceneDrawer`Dump`var2507, PlaneGeometry`GeometrySceneDrawer`Dump`var2508} -> 6, {PlaneGeometry`GeometrySceneDrawer`Dump`var2509, PlaneGeometry`GeometrySceneDrawer`Dump`var2510} -> 7|>, PlaneGeometry`GeometrySceneDrawerDump`quantPosAssoc$$ = <||>, PlaneGeometry`GeometrySceneDrawerDump`rules$$ = {{{ C["GeometricPoint"][$CellContext`a] -> {0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`b] -> {0., 1.}, C["GeometricPoint"][$CellContext`c] -> {-0.8660254037844386, -0.5}, C["GeometricPoint"][$CellContext`p] -> { 0.2906937030966784, -0.0018751224492381535`}, C["GeometricPoint"][$CellContext`pl] -> {0.5064980795045123, 0.12271959236212407`}, C["GeometricPoint"][$CellContext`pm] -> {-0.3611512371700405, 0.37446772288150176`}, C["GeometricPoint"][$CellContext`pn] -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}, PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$, PlaneGeometry`GeometrySceneDrawerDump`actionMenu$$ = ActionMenu[ Tooltip[ Graphics[{{ GrayLevel[0.9], Rectangle[{-2, -1.5}, {2, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.75, 0.5}, {0.75, 0.5}}], Line[{{-0.75, 0}, {0.75, 0}}], Line[{{-0.75, -0.5}, {0.75, -0.5}}]}}}, ImageSize -> {40, 30.}, AspectRatio -> Full, PlotRangePadding -> None], "Controls/Paste"], { "Hide Controls" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = False), Delimiter, Row[{ Dynamic[ RawBoxes[ FEPrivate`FrontEndResource["FEBitmaps", "BookmarkBullet"]]], " ", "Initial Settings"}] :> ({ PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$, PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$} = PlaneGeometry`GeometrySceneDrawerDump`initialValues$$), Delimiter, "Paste Current Graphics" :> CellPrint[ ExpressionCell[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], "Input"]], "Paste Current GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], MapThread[Cases, { Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Map[HoldPattern, Thread[Apply[Alternatives, Apply[Join, Transpose[ Take[ Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$\ , PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$}], PlaneGeometry`GeometrySceneDrawerDump`step$$]], {1}], { 1}] -> Blank[]]]}]}], If[False, ReplaceAll[ Take[ ReplaceAll[ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[GeometricStep]]}] :> Hold[PlaneGeometry`GeometrySceneDrawerDump`x]], PlaneGeometry`GeometrySceneDrawerDump`step$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], Replace[ Part[ Hold[{}], {1}, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, Blank[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], {}]], "Input"]], Delimiter, "Paste Complete GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]], "Input"]], "Paste Algebraic Formulation" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ First[ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]]["AlgebraicFormulation"], "Input"]], Delimiter, "Paste Parameters" :> CellPrint[ ExpressionCell[ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], "Input"]], "Paste Hypotheses" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], "Input"]], "Paste Conclusions" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{}]], "Input"]], Delimiter, "Find Conjectures" :> CellPrint[ ExpressionCell[ FindGeometricConjectures[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[ False, {{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, $CellContext`pl -> \ {0.5064980795045123, 0.12271959236212407`}, $CellContext`pm -> \ {-0.3611512371700405, 0.37446772288150176`}, $CellContext`pn -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}, First[{{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pl -> {0.5064980795045123, 0.12271959236212407`}, $CellContext`pm -> \ {-0.3611512371700405, 0.37446772288150176`}, $CellContext`pn -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == { Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]]], "Input"]]}, Appearance -> None, MenuAppearance -> "Menu"], PlaneGeometry`GeometrySceneDrawerDump`topControls$$ = Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 2], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ ActionMenu[ Tooltip[ Graphics[{{ GrayLevel[0.9], Rectangle[{-2, -1.5}, {2, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.75, 0.5}, {0.75, 0.5}}], Line[{{-0.75, 0}, {0.75, 0}}], Line[{{-0.75, -0.5}, {0.75, -0.5}}]}}}, ImageSize -> {40, 30.}, AspectRatio -> Full, PlotRangePadding -> None], "Controls/Paste"], { "Hide Controls" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = False), Delimiter, Row[{ Dynamic[ RawBoxes[ FEPrivate`FrontEndResource["FEBitmaps", "BookmarkBullet"]]], " ", "Initial Settings"}] :> ({ PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$, PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$} = PlaneGeometry`GeometrySceneDrawerDump`initialValues$$), Delimiter, "Paste Current Graphics" :> CellPrint[ ExpressionCell[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], "Input"]], "Paste Current GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], MapThread[Cases, { Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Map[HoldPattern, Thread[Apply[Alternatives, Apply[Join, Transpose[ Take[ Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`originalPointLists$$\ , PlaneGeometry`GeometrySceneDrawerDump`originalQuantLists$$}], PlaneGeometry`GeometrySceneDrawerDump`step$$]], {1}], { 1}] -> Blank[]]]}]}], If[False, ReplaceAll[ Take[ ReplaceAll[ Hold[{ Triangle[{$CellContext`a, $CellContext`b, \ $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == { Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[GeometricStep]]}] :> Hold[PlaneGeometry`GeometrySceneDrawerDump`x]], PlaneGeometry`GeometrySceneDrawerDump`step$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, BlankNullSequence[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], Replace[ Part[ Hold[{}], {1}, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], Hold[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, Blank[]]] :> Hold[{PlaneGeometry`GeometrySceneDrawerDump`x}]], {}]], "Input"]], Delimiter, "Paste Complete GeometricScene" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[ PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]], "Input"]], "Paste Algebraic Formulation" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[GeometricScene][ First[ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$\ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[ PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}], Hold[{}]]["AlgebraicFormulation"], "Input"]], Delimiter, "Paste Parameters" :> CellPrint[ ExpressionCell[ If[False, Identity, First][ Transpose[ MapThread[Construct, { Map[ReplaceAll, { Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$], Thread[ PlaneGeometry`GeometrySceneDrawerDump`declaredQuantNames$$ -> PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$]}], Transpose[PlaneGeometry`GeometrySceneDrawerDump`rules$$]}]]], "Input"]], "Paste Hypotheses" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == { Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]], "Input"]], "Paste Conclusions" :> CellPrint[ ExpressionCell[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ PlaneGeometry`GeometrySceneDrawerDump`inactivateScene][ Hold[{}]], "Input"]], Delimiter, "Find Conjectures" :> CellPrint[ ExpressionCell[ FindGeometricConjectures[ PlaneGeometry`GeometrySceneDrawerDump`heldArgEval[ GeometricScene][ If[ False, {{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pl -> {0.5064980795045123, 0.12271959236212407`}, $CellContext`pm -> \ {-0.3611512371700405, 0.37446772288150176`}, $CellContext`pn -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}, First[{{{$CellContext`a -> { 0.8660254037844386, -0.5}, $CellContext`b -> {0., 1.}, $CellContext`c -> {-0.8660254037844386, -0.5}, \ $CellContext`p -> { 0.2906937030966784, -0.0018751224492381535`}, \ $CellContext`pl -> {0.5064980795045123, 0.12271959236212407`}, $CellContext`pm -> \ {-0.3611512371700405, 0.37446772288150176`}, $CellContext`pn -> { 0.29069370906237063`, -0.5000000068918066}}, {}}}]], Hold[{ Triangle[{$CellContext`a, $CellContext`b, $CellContext`c}], Element[$CellContext`pn, InfiniteLine[{$CellContext`a, $CellContext`c}]], Element[$CellContext`pm, InfiniteLine[{$CellContext`b, $CellContext`c}]], Element[$CellContext`pl, InfiniteLine[{$CellContext`a, $CellContext`b}]], PlanarAngle[{$CellContext`c, $CellContext`pm, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`b, $CellContext`pl, \ $CellContext`p}] == Pi/2, PlanarAngle[{$CellContext`a, $CellContext`pn, \ $CellContext`p}] == Pi/2, $CellContext`a == {Rational[1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`b == {0, 1}, $CellContext`c == {Rational[-1, 2] 3^Rational[1, 2], Rational[-1, 2]}, $CellContext`p == { 0.2906937030966784, -0.0018751224492381535`}}]]], "Input"]]}, Appearance -> None, MenuAppearance -> "Menu"], "LinkHand"]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`topLabel$$ = Dynamic[ Grid[{{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 2], If[False, Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Pane[ Part[ PlaneGeometry`GeometrySceneDrawerDump`stepDescriptionList$$, PlaneGeometry`GeometrySceneDrawerDump`step$$], ImageSize -> { First[PlaneGeometry`GeometrySceneDrawerDump`size$$] - 110, 37.5}, Alignment -> {Center, Center}, ImageSizeAction -> "ShrinkToFit"], First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 4, 1.5]], PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 4]]], PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$[ Opacity[0]]}, If[ And[False, False], { PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 1, 1.5]}, Nothing]}, Spacings -> {0, 0}]], PlaneGeometry`GeometrySceneDrawerDump`imageControls$$ = Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ EventHandler[ Dynamic[ If[ PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$]], { "MouseClicked" :> (PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$])}], "LinkHand"], MouseAppearance[ Dynamic[ Which[ PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$, PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, EventHandler[ Dynamic[PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$)}, Method -> "Queued"], True, PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$]], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# - Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# + Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], {"MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = PlaneGeometry`GeometrySceneDrawerDump`findPlotRange[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]])}], "LinkHand"]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`bottomControls$$ = Grid[{{ Grid[{{ Graphics[{{ GrayLevel[1], Rectangle[{- Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], -1}, { Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["", Larger, GrayLevel[0]], {0, 0}]}}, ImageSize -> { 20 Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 10], 20}, AspectRatio -> Full, PlotRangePadding -> None], MouseAppearance[ EventHandler[ Dynamic[ If[ PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$]], { "MouseClicked" :> (PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$ = Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$])}], "LinkHand"], MouseAppearance[ Dynamic[ Which[ PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$, PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, EventHandler[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$)\ }, Method -> "Queued"], True, PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$]]\ , "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# - Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], { "MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = (# + Table[{PlaneGeometry`GeometrySceneDrawerDump`q, - PlaneGeometry`GeometrySceneDrawerDump`q}, { PlaneGeometry`GeometrySceneDrawerDump`q, Apply[Subtract, #, {1}]}]/10& )[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]])}], "LinkHand"], MouseAppearance[ EventHandler[ Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], {"MouseClicked" :> ( Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = PlaneGeometry`GeometrySceneDrawerDump`findPlotRange[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]])}], "LinkHand"]}}, Spacings -> {0, 0}]}}, Spacings -> {0, 0}], PlaneGeometry`GeometrySceneDrawerDump`bottomLabel$$ = Dynamic[ Grid[ If[False, {{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", 1]}, { Grid[{{ PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Style["Conclusion", Larger, Bold, GrayLevel[0.6]], 5], PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$["", Dynamic[ First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20 - 5]]}}, Spacings -> {0, 0}]}, { PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$[ Pane[ Part[ PlaneGeometry`GeometrySceneDrawerDump`conclusionList$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$], ImageSize -> { First[PlaneGeometry`GeometrySceneDrawerDump`size$$] - 30, 37.5}, Alignment -> {Center, Center}, ImageSizeAction -> "ShrinkToFit"], First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/20, 1.5]}}, {{}}], Spacings -> {0, 0}]], PlaneGeometry`GeometrySceneDrawerDump`dynamicScene$$ = Dynamic[ MouseAppearance[ Piecewise[{{ EventHandler[ Dynamic[ Replace[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ ReplaceAll[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]], Map[{ Hue[0.58, 1, 1, 1], Pattern[PlaneGeometry`GeometrySceneDrawerDump`d, BlankNullSequence[]], Point[#]} :> { Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[#], Hue[0.58, 1, 1, 1], PlaneGeometry`GeometrySceneDrawerDump`d, Point[#]}& , Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Graphics[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`g$, Blank[]], Pattern[PlaneGeometry`GeometrySceneDrawerDump`o$, BlankNullSequence[]]] :> Graphics[{PlaneGeometry`GeometrySceneDrawerDump`g$, MapIndexed[ Function[{ PlaneGeometry`GeometrySceneDrawerDump`location$, PlaneGeometry`GeometrySceneDrawerDump`index$}, MouseAppearance[ Locator[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`location$, {( PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`current$$ = PlaneGeometry`GeometrySceneDrawerDump`index$; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]; PlaneGeometry`GeometrySceneDrawerDump`picPart$$ = If[ And[False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}]; PlaneGeometry`GeometrySceneDrawerDump`ghosts$$ = Map[ PlaneGeometry`GeometrySceneDrawerDump`addStylings[Orange], Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , PlaneGeometry`GeometrySceneDrawerDump`currentPos$$]]; Null)& , ( Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Extract[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`index$]] = #; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`picPart$$ -> ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, Thread[ Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointNames$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$] -> \ {#}]]]; Null)& , Function[ PlaneGeometry`GeometrySceneDrawerDump`loc$, PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}] -> {}]; \ {PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$} = PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicOptimizerInputs[ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`stepCount$$, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`\ generatedPointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`relativePos$$, PlaneGeometry`GeometrySceneDrawerDump`quantPosLists$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]], PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], Pick[ PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = CheckAbort[ TimeConstrained[ Fold[ PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicRulesFromOptimizer, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`optimizerInputs$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$}]], PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$, Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, { 1}]]]], Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, { 1}]]]]; { Part[ PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Part[ PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]} = ReplaceAll[{ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$}, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Apply[Rule, Map[ Reverse, PlaneGeometry`GeometrySceneDrawerDump`varray$$], {1}]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = { ReplaceAll[ Normal[ AssociationMap[ PlaneGeometry`GeometrySceneDrawerDump`point, PlaneGeometry`GeometrySceneDrawerDump`pointNames$$]], Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Select[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], MemberQ[ PlaneGeometry`GeometrySceneDrawerDump`quantNames$$, First[#]]& ]}; Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, 1]]; PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = {}; Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False; Null]}], None], "Arrow"]], Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]}, PlaneGeometry`GeometrySceneDrawerDump`o$, PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$]]], { If[ PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$ === PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$ === {}, Nothing, "MouseClicked" :> If[PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$, PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$ = AttachCell[PlaneGeometry`GeometrySceneDrawerDump`boxObj$$, DynamicModule[{}, PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$, InheritScope -> True], {Left, Bottom}, 0, {Left, Top}]]], "MouseDown" :> ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = MousePosition["GraphicsAbsolute"]; PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = True), "MouseDragged" :> If[PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$ = MousePosition["GraphicsAbsolute"]; AddTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ - PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$)/( First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/Abs[ Apply[Subtract, Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], {1}]])]; PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$; Null], "MouseUp" :> (PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False)}, PassEventsDown -> True], And[ Not[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$], PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$]}, { EventHandler[ Dynamic[ Replace[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ ReplaceAll[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]], Map[{ Hue[0.58, 1, 1, 1], Pattern[PlaneGeometry`GeometrySceneDrawerDump`d, BlankNullSequence[]], Point[#]} :> { Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[#], Hue[0.58, 1, 1, 1], PlaneGeometry`GeometrySceneDrawerDump`d, Point[#]}& , Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Graphics[ Pattern[PlaneGeometry`GeometrySceneDrawerDump`g$, Blank[]], Pattern[PlaneGeometry`GeometrySceneDrawerDump`o$, BlankNullSequence[]]] :> Graphics[{PlaneGeometry`GeometrySceneDrawerDump`g$, MapIndexed[ Function[{ PlaneGeometry`GeometrySceneDrawerDump`location$, PlaneGeometry`GeometrySceneDrawerDump`index$}, MouseAppearance[ Locator[ Dynamic[ PlaneGeometry`GeometrySceneDrawerDump`location$, {( PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = False; PlaneGeometry`GeometrySceneDrawerDump`current$$ = Union[PlaneGeometry`GeometrySceneDrawerDump`current$$, PlaneGeometry`GeometrySceneDrawerDump`index$]; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]; PlaneGeometry`GeometrySceneDrawerDump`picPart$$ = If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}]; PlaneGeometry`GeometrySceneDrawerDump`ghosts$$ = Map[ PlaneGeometry`GeometrySceneDrawerDump`addStylings[Orange], Part[ PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$\ , PlaneGeometry`GeometrySceneDrawerDump`currentPos$$]]; Null)& , ( Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Extract[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`index$]] = #; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[ PlaneGeometry`GeometrySceneDrawerDump`pics$$, PlaneGeometry`GeometrySceneDrawerDump`picPart$$ -> ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`ghosts$$, Thread[ Part[PlaneGeometry`GeometrySceneDrawerDump`\ declaredPointNames$$, PlaneGeometry`GeometrySceneDrawerDump`currentPos$$] -> Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Part[ Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]], PlaneGeometry`GeometrySceneDrawerDump`current$$]]]]]; Null)& , Null& }], None], "Arrow"]], Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, Apply[Join, Take[ PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`step$$]]]]}, PlaneGeometry`GeometrySceneDrawerDump`o$, PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$]]], { If[ PlaneGeometry`GeometrySceneDrawerDump`declaredPoints$$ === PlaneGeometry`GeometrySceneDrawerDump`declaredQuants$$ === {}, Nothing, "MouseClicked" :> If[PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$, PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$ = AttachCell[PlaneGeometry`GeometrySceneDrawerDump`boxObj$$, DynamicModule[{}, PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$, InheritScope -> True], {Left, Bottom}, 0, {Left, Top}]]], "MouseDown" :> ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = MousePosition["GraphicsAbsolute"]; PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = True; Null), "MouseDragged" :> If[PlaneGeometry`GeometrySceneDrawerDump`panQ$$, PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$ = MousePosition["GraphicsAbsolute"]; AddTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ - PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$)/( First[PlaneGeometry`GeometrySceneDrawerDump`size$$]/Abs[ Apply[Subtract, Part[ PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], {1}]])]; PlaneGeometry`GeometrySceneDrawerDump`oldMousePos$$ = PlaneGeometry`GeometrySceneDrawerDump`newMousePos$$; Null], "MouseUp" :> (PlaneGeometry`GeometrySceneDrawerDump`panQ$$ = False; Null)}, PassEventsDown -> True], And[PlaneGeometry`GeometrySceneDrawerDump`pauseQ$$, Not[PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$]]}}, PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = True; {PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$} = PlaneGeometry`GeometrySceneDrawerDump`findDynamicOptimizerInputs[ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`stepCount$$, PlaneGeometry`GeometrySceneDrawerDump`pointStepAssoc$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`generatedPointPosLists$$, PlaneGeometry`GeometrySceneDrawerDump`pointIndices$$, PlaneGeometry`GeometrySceneDrawerDump`quantPosLists$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], PlaneGeometry`GeometrySceneDrawerDump`currentPos$$, Pick[ PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$], Pick[ PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$, PlaneGeometry`GeometrySceneDrawerDump`fixedQuantBools$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = CheckAbort[ TimeConstrained[ Fold[ PlaneGeometry`GeometrySceneDrawerDump`\ findDynamicRulesFromOptimizer, PlaneGeometry`GeometrySceneDrawerDump`fixedValueRules$$, Transpose[{ PlaneGeometry`GeometrySceneDrawerDump`optimizerInputs$$, PlaneGeometry`GeometrySceneDrawerDump`coordSeeds$$, PlaneGeometry`GeometrySceneDrawerDump`constraint$$}]], PlaneGeometry`GeometrySceneDrawerDump`timeLimit$$, Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, {1}]]]], Flatten[ ReplaceAll[ ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ( Pattern[PlaneGeometry`GeometrySceneDrawerDump`x, C["GeometricPoint"][ BlankNullSequence[]]] -> Pattern[PlaneGeometry`GeometrySceneDrawerDump`c, Blank[]]) :> Thread[PlaneGeometry`GeometrySceneDrawerDump`point[ PlaneGeometry`GeometrySceneDrawerDump`x] -> PlaneGeometry`GeometrySceneDrawerDump`c]], Apply[ Rule, PlaneGeometry`GeometrySceneDrawerDump`varray$$, {1}]]]]; PlaneGeometry`GeometrySceneDrawerDump`pics$$ = ReplacePart[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$, -1}, { PlaneGeometry`GeometrySceneDrawerDump`step$$, -1}] -> {}]; { Part[ PlaneGeometry`GeometrySceneDrawerDump`pointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Part[ PlaneGeometry`GeometrySceneDrawerDump`quantVals$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]} = ReplaceAll[{ PlaneGeometry`GeometrySceneDrawerDump`pointAliases$$, PlaneGeometry`GeometrySceneDrawerDump`quantAliases$$}, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]]; Part[PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], Apply[Rule, Map[Reverse, PlaneGeometry`GeometrySceneDrawerDump`varray$$], { 1}]]; Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = { ReplaceAll[ Normal[ AssociationMap[ PlaneGeometry`GeometrySceneDrawerDump`point, PlaneGeometry`GeometrySceneDrawerDump`pointNames$$]], Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], Select[ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], MemberQ[ PlaneGeometry`GeometrySceneDrawerDump`quantNames$$, First[#]]& ]}; Part[PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = ReplaceAll[PlaneGeometry`GeometrySceneDrawerDump`declaredPointNames$$, Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, 1]]; Part[PlaneGeometry`GeometrySceneDrawerDump`newLocations$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$] = Part[PlaneGeometry`GeometrySceneDrawerDump`declaredPointCoords$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]; PlaneGeometry`GeometrySceneDrawerDump`current$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`currentPos$$ = {}; PlaneGeometry`GeometrySceneDrawerDump`unchangedQ$$ = True; PlaneGeometry`GeometrySceneDrawerDump`updatingQ$$ = False; Null], "DragGraphics"], SynchronousUpdating -> False], PlaneGeometry`GeometrySceneDrawerDump`attachedControls$$ = EventHandler[ Panel[ Grid[{{ Text[ Style["Points", Bold]]}, { Grid[{{ MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 1], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 1]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 1], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 1], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 2], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 2]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 2], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 2], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 3], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 3]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 3], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 3], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 4], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 4]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 4], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 4], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 5], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 5]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 5], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 5], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 6], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 6]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 6], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 6], Not]}, PassEventsUp -> False], "LinkHand"], MouseAppearance[ EventHandler[ Dynamic[ If[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 7], Graphics[ Join[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[21], Point[{0, 0}]}, Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$\ , 7]], ImageSize -> {21, 21}], Graphics[ Part[ PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$, 7], ImageSize -> {21, 21}]]], {"MouseClicked" :> ApplyTo[ Part[ PlaneGeometry`GeometrySceneDrawerDump`fixedPointBools$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$, PlaneGeometry`GeometrySceneDrawerDump`step$$, 7], Not]}, PassEventsUp -> False], "LinkHand"]}}]}, { Grid[{{ Graphics[{ Hue[0.64, 0.71, 0.37], AbsolutePointSize[11], Point[{0, 0}], Hue[0.58, 1, 1, 1], AbsolutePointSize[7], Point[{0, 0}]}, ImageSize -> {11, 11}], "pinned", Graphics[{ Hue[0.58, 1, 1, 1], AbsolutePointSize[7], Point[{0, 0}]}, ImageSize -> {11, 11}], "unpinned"}}]}}, Alignment -> Left, Dividers -> False], Background -> GrayLevel[0.9]], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False; NotebookDelete[ PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$])}], PlaneGeometry`GeometrySceneDrawerDump`attachedControlsQ$$ = False, PlaneGeometry`GeometrySceneDrawerDump`attachedCell$$, PlaneGeometry`GeometrySceneDrawerDump`display$$, PlaneGeometry`GeometrySceneDrawerDump`noControlsScene$$ = MouseAppearance[ Dynamic[ EventHandler[ Tooltip[ Append[ PlaneGeometry`GeometrySceneDrawerDump`makeGraphicsFromRules[ Extract[PlaneGeometry`GeometrySceneDrawerDump`pics$$, If[ And[ False, PlaneGeometry`GeometrySceneDrawerDump`step$$ == PlaneGeometry`GeometrySceneDrawerDump`stepCount$$], { PlaneGeometry`GeometrySceneDrawerDump`step$$, PlaneGeometry`GeometrySceneDrawerDump`conclusion$$}, { PlaneGeometry`GeometrySceneDrawerDump`step$$}]]][ Part[ PlaneGeometry`GeometrySceneDrawerDump`rules$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$]], { PlotRange -> Part[PlaneGeometry`GeometrySceneDrawerDump`plotRanges$$, PlaneGeometry`GeometrySceneDrawerDump`instance$$], ImageSize -> PlaneGeometry`GeometrySceneDrawerDump`size$$}], "Show Controls"], { "MouseClicked" :> ( PlaneGeometry`GeometrySceneDrawerDump`showControlsQ$$ = True)}, PassEventsUp -> False]], "LinkHand"], PlaneGeometry`GeometrySceneDrawerDump`leftArrowIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1.5}, {1, 1.5}], Rectangle[{-1, -1.5}, {1, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{0.25, 0.5}, {-0.25, 0}, {0.25, -0.5}}]}}, ImageSize -> {20, 30.}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`rightArrowIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1.5}, {0, 1.5}], Rectangle[{-1, -1.5}, {1, 1.5}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.25, 0.5}, {0.25, 0}, {-0.25, -0.5}}]}}, ImageSize -> {20, 30.}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`hamburgerIcon$$, PlaneGeometry`GeometrySceneDrawerDump`autoTrueIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {2.5, 1}], Rectangle[{-2.5, -1}, {2.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], {{ EdgeForm[{ Thickness[Tiny], RGBColor[0.161, 0.667, 0.887]}], GrayLevel[1], RegularPolygon[{-1.25, 0}, 0.75, 4]}, Line[{{-1.75, 0}, {-1.375, -0.375}, {-0.75, 0.5}}], Text[ Style["Auto", Larger, Bold], {1, 0}]}}}, ImageSize -> {50., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`autoFalseIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {2.5, 1}], Rectangle[{-2.5, -1}, {2.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], {{ EdgeForm[{ Thickness[Tiny], RGBColor[0.161, 0.667, 0.887]}], GrayLevel[1], RegularPolygon[{-1.25, 0}, 0.75, 4]}, Text[ Style["Auto", Larger, Bold], {1, 0}]}}}, ImageSize -> {50., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneTrueIcon$$ = Graphics[{{ RGBColor[0.161, 0.667, 0.887], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold, GrayLevel[0.9]]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneInactiveIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold, GrayLevel[0.6]]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`updateSceneFalseIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-4.5, -1}, {0, 1}], Rectangle[{-4.5, -1}, {4.5, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Text[ Style["Update Scene", Larger, Bold]]}}, ImageSize -> {90., 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`zoomInIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{0, -1}, {1, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Line[{{-0.5, 0}, {0.5, 0}}], Line[{{0, -0.5}, {0, 0.5}}]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`zoomOutIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {0, 1}], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], Line[{{-0.5, 0}, {0.5, 0}}]}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`recenterIcon$$ = Graphics[{{ GrayLevel[0.9], Rectangle[{-1, -1}, {1, 1}, RoundingRadius -> 0.5]}, { Thickness[Large], RGBColor[0.161, 0.667, 0.887], { Arrowheads[{{1, 1, Graphics[ Polygon[{{0, -0.25}, {0, 0.25}, {0.25, 0}}]]}}], Arrow[ BezierCurve[{{0.75, -0.25}, {0.25, 0.25}, {-0.25, 0}}]]}}}, ImageSize -> {20, 20}, AspectRatio -> Full, PlotRangePadding -> None], PlaneGeometry`GeometrySceneDrawerDump`popupIcon$$, PlaneGeometry`GeometrySceneDrawerDump`labelIcon$$, PlaneGeometry`GeometrySceneDrawerDump`pointPosArray$$ = {{{1, 2, 3, 4, 5, 6, 7}}}, PlaneGeometry`GeometrySceneDrawerDump`quantPosArray$$ = {{{}}}, PlaneGeometry`GeometrySceneDrawerDump`unfixedPointStylings$$ = {{{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" c ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" p ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pl ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pm ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0, 0}]}, Inset[ Style[" pn ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0, 0}], { AbsolutePointSize[17], Opacity[0], Point[{0, 0}]}}}, PlaneGeometry`GeometrySceneDrawerDump`unfixedQuantStylings$$ = {}, PlaneGeometry`GeometrySceneDrawerDump`cloudDisplay$$ = Graphics[{{ AbsoluteThickness[2], GrayLevel[0.7], EdgeForm[{ GrayLevel[0.7], Thickness[Large]}], {{ Opacity[0.2], Polygon[{{0.8660254037844386, -0.5}, {0., 1.}, {-0.8660254037844386, -0.5}}]}, {{ Opacity[0], Circle[{-0.3611512371700405, 0.37446772288150176`}, Offset[{17, 17}]]}, AbsoluteThickness[2], GrayLevel[0.7], Line[{ Offset[{-6.010407563399251, -10.410331451103424`}, \ {-0.3611512371700405, 0.37446772288150176`}], Offset[{4.399923887703019, -16.42073901450467}, \ {-0.3611512371700405, 0.37446772288150176`}], Offset[{10.41033145110227, -6.010407563401243}, \ {-0.3611512371700405, 0.37446772288150176`}]}]}, {{ Opacity[0], Circle[{0.5064980795045123, 0.12271959236212407`}, Offset[{17, 17}]]}, AbsoluteThickness[2], GrayLevel[0.7], Line[{ Offset[{-6.010407640085654, 10.410331406828506`}, { 0.5064980795045123, 0.12271959236212407`}], Offset[{-16.42073904691416, 4.399923766742852}, { 0.5064980795045123, 0.12271959236212407`}], Offset[{-10.410331406828508`, -6.0104076400856545`}, { 0.5064980795045123, 0.12271959236212407`}]}]}, {{ Opacity[0], Circle[{0.29069370906237063`, -0.5000000068918066}, Offset[{17, 17}]]}, AbsoluteThickness[2], GrayLevel[0.7], Line[{ Offset[{12.020815280171307`, 1.4399542817324384`*^-7}, { 0.29069370906237063`, -0.5000000068918066}], Offset[{12.020815136206437`, 12.020815424166736`}, { 0.29069370906237063`, -0.5000000068918066}], Offset[{-1.439648698763679*^-7, 12.020815280171307`}, { 0.29069370906237063`, -0.5000000068918066}]}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{-0.8660254037844386, -0.5}, {-0.3611512371700405, 0.37446772288150176`}}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{-0.3611512371700405, 0.37446772288150176`}, { 0.2906937030966784, -0.0018751224492381535`}}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{0., 1.}, {0.5064980795045123, 0.12271959236212407`}}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{0.5064980795045123, 0.12271959236212407`}, { 0.2906937030966784, -0.0018751224492381535`}}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{0.8660254037844386, -0.5}, { 0.29069370906237063`, -0.5000000068918066}}]}, { Dashing[{Small, Small}], CapForm["None"], Line[{{0.29069370906237063`, -0.5000000068918066}, { 0.2906937030966784, -0.0018751224492381535`}}]}, { InfiniteLine[{0.8660254037844386, -0.5}, {-1.7320508075688772`, 0.}]}, { InfiniteLine[{0., 1.}, {-0.8660254037844386, -1.5}]}, { InfiniteLine[{0.8660254037844386, -0.5}, {-0.8660254037844386, 1.5}]}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0.8660254037844386, -0.5}]}, Inset[ Style[" a ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], { 0.8660254037844386, -0.5}], { AbsolutePointSize[17], Opacity[0], Point[{0.8660254037844386, -0.5}]}}, {{ Hue[0.58, 1, 1, 1], AbsolutePointSize[17], Point[{0., 1.}]}, Inset[ Style[" b ", RGBColor[0, 0, 1], FontSize -> 11, FontColor -> GrayLevel[1]], {0., 1.}], { AbsolutePointSize[17], Opacity[0], Point[{0., 1.}]}}, {{ Hue[0.58, 1, 1, 1], 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