TETRAHEDRON_PROPERTIES
Compute Properties of a Tetrahedron

TETRAHEDRON_PROPERTIES is a MATLAB program which computes properties of a tetrahedron.

These properties include:

• Centroid;
• Circumsphere (center and radius);
• Dihedral angles;
• Edge lengths;
• Face angles;
• Face areas;
• Insphere (center and radius);
• Quality1: ratio of insphere radius / circumsphere radius;
• Quality2: ratio of insphere radius / longest edge;
• Quality3: ratio of volume^(2/3) / sum of squares of edge lengths;
• Quality4: sine of half the minimum solid angle;
• Solid angles;
• Volume;

Usage:

tetrahedron_properties filename

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

TETRAHEDRON_PROPERTIES is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

GEOMETRY, a MATLAB library which performs geometric calculations in 2, 3 and N dimensional space.

TETRAHEDRON_SLICE_DISPLAY, a MATLAB program which determines the intersection between a tetrahedron and a plane and displays the result.

TETRAHEDRONS, a dataset directory which contains examples of tetrahedrons;

TRIANGLE_PROPERTIES, a MATLAB program which computes properties of a triangle whose vertex coordinates are read from a file.

Source Code:

• tetrahedron_properties.m, the source code.

Examples and Tests:

• tet_cap.txt, a "cap" tetrahedron.
• tet_cap_output.txt, the output file.
• tet_equilateral.txt, an equilateral tetrahedron.
• tet_equilateral_output.txt, the output file.
• tet_needle.txt, a "needle" tetrahedron.
• tet_needle_output.txt, the output file.
• tet_right.txt, a right tetrahedron.
• tet_right_output.txt, the output file.
• tet_sliver.txt, a "sliver" tetrahedron.
• tet_sliver_output.txt, the output file.
• tet_spindle.txt, a "spindle" tetrahedron.
• tet_spindle_output.txt, the output file.
• tet_wedge.txt, a "wedge" tetrahedron.
• tet_wedge_output.txt, the output file.

You can go up one level to the MATLAB source codes.