Created
March 18, 2021 13:33
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "changing-injection", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(-3.3, 3.3, -3.3, 3.3)" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x432 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 381, | |
"width": 539 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from clifford.g2 import * \n", | |
"from matplotlib import style \n", | |
"style.use('fivethirtyeight')\n", | |
"from pylab import * \n", | |
"\n", | |
"def plot_ps(ps,**kw):\n", | |
" x = [p[e1] for p in ps]\n", | |
" y = [p[e2] for p in ps]\n", | |
" plot(x,y, marker='o',ls='',**kw)\n", | |
"\n", | |
" \n", | |
" \n", | |
"f1 = lambda x: x + 2*x(e1+e2) # x stretch along axis e1+e2\n", | |
"f2 = lambda x: x + 2*(x|e1)*e2 # a form of shear\n", | |
"\n", | |
"\n", | |
"figure(figsize=(8,6))\n", | |
"p = [x*e1 + y*e2 for x in linspace(-1,1,11) for y in linspace(-1,1,11)]\n", | |
"plot_ps(p)\n", | |
"\n", | |
"for f in f1,f2:\n", | |
" q = [f(k) for k in p]\n", | |
" plot_ps(q,alpha=.7)\n", | |
" \n", | |
"axis('equal')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "incoming-wagner", | |
"metadata": {}, | |
"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": "3.7.7" | |
}, | |
"toc": { | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": "block", | |
"toc_window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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