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@fomightez
Forked from jakevdp/OpticalIllusion.ipynb
Created April 13, 2017 16:55
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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UhK2KF0630nVBWFnIjdRzaW+kjr3zHgpmdhNuCK+0kV3S2pRkpC4Dq4mRXW6k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\nP94AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108ea1c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"plt.figure(figsize=(10, 7))\n",
"\n",
"# Plot Gridlines\n",
"linestyle = dict(color='gray', linewidth=5)\n",
"x = np.arange(-15, 15)\n",
"plt.plot(2 * x, 2 * abs(x + x[:, None]), **linestyle)\n",
"plt.vlines(x, 0, 10, **linestyle)\n",
"plt.hlines(x, 0, 14, **linestyle)\n",
"\n",
"# Plot points\n",
"plt.plot(*map(np.ravel, np.mgrid[1:14:4, 1:10:4]), 'ok',\n",
" ms=10, mec='lightgray', mew=1.5)\n",
"\n",
"plt.xlim(0.5, 13.5)\n",
"plt.ylim(0.5, 9.5)\n",
"plt.axis('off');"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3.6",
"language": "python",
"name": "python3.6"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@fomightez
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forked from jakevdp/OpticalIllusion.ipynb because too cool to lose track of.

https://twitter.com/jakevdp/status/852548949441265664
"Weird matplotlib bug: points disappear unless I look directly at them. https://gist.github.com/jakevdp/514bcc09637ac71ca1a8fa703c54e5f7"

@fomightez
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