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@Carreau

Carreau/BinderLogo.ipynb

Last active Jul 16, 2018
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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.patches import Wedge\n",
"from matplotlib.collections import PatchCollection\n",
"from matplotlib.ticker import MultipleLocator\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"y,r,b = '#f5a252', '#e66581' ,'#579aca'\n",
"patches = [\n",
" Wedge((13 , 12+4), 5, 0, 360, width=2), #yellow\n",
" Wedge((13-4, 12 ), 5, 0, 360, width=2), # red\n",
" Wedge((13 , 12-4), 5, 0, 360, width=2), # blue, \n",
" \n",
" Wedge((13 , 12+4), 5, 180-25, 180+25, width=2), # yellow patch above\n",
" Wedge((13-4, 12 ), 5, 270-25, 270+25, width=2), # red patch above\n",
"]\n",
"\n",
"for uaxis in [ax.xaxis, ax.yaxis]:\n",
" uaxis.set_major_locator(MultipleLocator(4))\n",
" uaxis.set_minor_locator(MultipleLocator(1))\n",
"\n",
" \n",
"plt.grid(which='both', alpha=0.4)\n",
"\n",
"colors = [y,r,b,y,r]\n",
"for w,c in zip(patches, colors):\n",
" p = PatchCollection([w])\n",
" p.set_color(c)\n",
" ax.add_collection(p)\n",
"\n",
"plt.axis('equal')\n",
"ax.set_xlim(0,24)\n",
"ax.set_ylim(0,24)\n",
"fig.set_figwidth(10)\n",
"fig.set_figheight(10)\n",
"plt.show()"
]
}
],
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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