{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pylab import *\n", "%matplotlib inline\n", "import matplotlib.cm as mcm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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hB2hra7N2Y2Ji0KBBA3Tp0gWdOnWCi4sLBAIBjI2N2c4Ahw8fRtu2bSESiXDl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Q8iIoqJiSEnJydSKBTMBrlcTgKBgFJTU+nkyZPUvHlz08aq8onyM/X9FsPLy4u2bdtGRETdu3en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\n378/qVQqVv/3339n93fjxo0SY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xkcd()\n", "rcParams['font.size']=20\n", "fig = gcf()\n", "ax = gca()\n", "xticks([]) # labels\n", "yticks([])\n", "ax.xaxis.set_ticks_position('none') # tick markers\n", "ax.yaxis.set_ticks_position('none')\n", "for side in ['bottom','right','top','left']:\n", " ax.spines[side].set_visible(False)\n", " \n", "dps = fig.dpi_scale_trans.inverted()\n", "bbox = ax.get_window_extent().transformed(dps)\n", "width, height = bbox.width, bbox.height\n", "\n", "# manual arrowhead width and length\n", "hw = 1./20\n", "hl = 1./20\n", "lw = 1. # axis line width\n", "ohg = 0.3 # arrow overhang\n", "\n", "# compute matching arrowhead length and width\n", "yhw = hw * height/width\n", "yhl = hl * width/height\n", "\n", "# draw x and y axis\n", "ax.arrow(0, 0, 1, 0., fc='k', ec='k', lw = lw,\n", " head_width=hw, head_length=hl, overhang = ohg,\n", " length_includes_head= True, clip_on = False)\n", "\n", "ax.arrow(0, 0, 0., 1, fc='k', ec='k', lw = lw,\n", " head_width=yhw, head_length=yhl, overhang = ohg,\n", " length_includes_head= True, clip_on = False)\n", "\n", "clip_on = True #if only positive x or y values.\n", "\n", "xlim(0, 1)\n", "ylim(0, 1)\n", "\n", "xlabel('Immigration control')\n", "xticks([0.2, 0.8], ['Looser', 'Tighter'])\n", "ylabel('Violence risk')\n", "title('Immigration and fear')\n", "yticks([0.2, 0.4, 0.6, 0.8], ['Very\\nlow', 'Low', 'Medium', 'High'])\n", "\n", "xs = arange(0.1, 0.9, 0.01)\n", "ys = log10((1 - xs)*10)\n", "plot(xs, ys, label='Pretend relationship')\n", "annotate('Fear-mongerers\\nalways say\\nwe are here', xy=(0.3, 0.9), fontsize=12, ha='center', va='center')\n", "\n", "plot([0.1, 0.9], [0.2, 0.1], label='Reality')\n", "annotate('But we are more\\nlike here', xy=(0.7, 0.1), fontsize=12, ha='center', va='center')\n", "\n", "legend(loc=2, bbox_to_anchor=(1, 1), fontsize=12)\n", "show();" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }