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@geekman
Created May 12, 2015 10:46
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D3.js sunburst concentric rings visualization
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{
"metadata": {
"name": "",
"signature": "sha256:9358e165822b126fcc60120c6b8ded2c9c0ace948c8555ea81c77897af41796b"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Circles: Division of Area\n",
"\n",
"This notebook explores using an area of $A = x^2$ to draw circles (or rings actually), by taking ${n\\over total} * A$ as the radius of each ring."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# some constants\n",
"\n",
"radius = 5000\n",
"hradius = radius / 2\n",
"area = hradius ** 2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f = lambda n, m: np.sqrt(area * (n / m))\n",
"\n",
"x = np.arange(1, 10.1, 0.5)\n",
"\n",
"plt.gcf().set_size_inches(8, 5)\n",
"\n",
"plt.ylabel('radius')\n",
"plt.xlabel('n^th ring')\n",
"plt.fill_between(x, 0, f(x, x.max()), color='none', hatch='/', edgecolor='b')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.collections.PolyCollection at 0x367d310>"
]
},
{
"metadata": {},
"output_type": "display_data",
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a1MWyGrFee8y8eTHot9giBn8RflD48ePHjz+7/swd6dtvt+hXGfqTJfVNXveT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\n8O7dqotFAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x346dfd0>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice that the radius starts off at a particular size, and the gradient at a small iteration $n$ is larger than at a large iteration.\n",
"\n",
"It will become clearer when the circles are drawn using the values below."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot(1, 1, 1, aspect='equal')\n",
"fig.set_size_inches(10, 10)\n",
"\n",
"ax.set_ylim(radius)\n",
"ax.set_xlim(radius)\n",
"\n",
"rings = 10\n",
"for n in range(1, rings):\n",
" ax.add_patch( plt.Circle((hradius, hradius), radius=f(float(n), rings), color='b', fill=False) )\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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EnqffflM/Rv36CO+OGYPPJL4H30A8W0KmYEZNqZ9/xkq3bFm19lNT0ctwzhyE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\nl8KF+WGcO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gVOPNHb8ePHBx9CBI4jsdW2LZuTpqV5O16j7YJWKLFHD4ojzarEIUO857Tl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\nSZIk9ei/si9Yyp51BdUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x3476ed0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sunburst D3.js Example\n",
"This is what the Sunburst D3.js example here uses, hence the output looks relatively nice, while keeping the implementation code deceptively simple.\n",
"\n",
"http://bl.ocks.org/mbostock/4063423\n",
"\n",
"<img src=\"https://github.com/mbostock/d3/wiki/partition.png\">\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The partitioning code is initialized using `radius * radius`:\n",
"\n",
" var partition = d3.layout.partition()\n",
" .size([2 * Math.PI, radius * radius])\n",
" \n",
" \n",
"and each ring's inner and outer radii are computed using the square root of this area:\n",
"\n",
" var arc = d3.svg.arc()\n",
" .innerRadius(function(d) { return Math.sqrt(d.y); })\n",
" .outerRadius(function(d) { return Math.sqrt(d.y + d.dy); });\n",
" \n",
"This automatically leaves a large enough circle for iteration 0 to be pleasant looking, but still maintain rings that are not as large.\n",
"\n",
"Gradually, the size of the rings get smaller toward the outer edges, but this will not be very apparent if the number of iterations are small (e.g. `5`). The illustration above uses 10 iterations, which should be quite clear that the rings get rather small."
]
}
],
"metadata": {}
}
]
}
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