Skip to content

Instantly share code, notes, and snippets.

@mp4096
Created July 3, 2017 13:04
Show Gist options
  • Save mp4096/7fdf04855e112a8612010038fc527d25 to your computer and use it in GitHub Desktop.
Save mp4096/7fdf04855e112a8612010038fc527d25 to your computer and use it in GitHub Desktop.
Palettes in matplotlib
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# How to use `matplotlib`'s built in colour palettes\n",
"\n",
"Just import `cm` (colourmaps) from `matplotlib`, select the palette you want [(see the reference)](https://matplotlib.org/examples/color/colormaps_reference.html) and use its `colors` attribute (tuple of tuples)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t = np.linspace(0.0, 10.0, 1000)\n",
"y_1 = np.sin(t)\n",
"y_2 = np.cos(t)\n",
"y_3 = np.cos(2.0*t)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0bmM/w/qUJnTLSA4dQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fba17989208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, y_1, c=cm.Set1.colors[0])\n",
"plt.plot(t, y_2, c=cm.Set1.colors[1])\n",
"plt.plot(t, y_3, c=cm.Set1.colors[2])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nR0fnEv4fDEWJ8/N68JEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb9f408d5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, y_1, c=cm.Dark2.colors[0])\n",
"plt.plot(t, y_2, c=cm.Dark2.colors[1])\n",
"plt.plot(t, y_3, c=cm.Dark2.colors[2])\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": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment