Add figures, make a Bezier
authorSam Moore <matches@ucc.asn.au>
Wed, 15 Jan 2014 14:36:46 +0000 (22:36 +0800)
committerSam Moore <matches@ucc.asn.au>
Wed, 15 Jan 2014 14:36:46 +0000 (22:36 +0800)
For your information, Potter, a Bezier is a stone taken from the stomache of a goat and it will save you from most -

Wait, it's actually a fractal, nevermind.

(The way I made it isn't fractally yet. That's the de Casteljau Algorithm. Will try that next)

figures/koch_snowflake_n=5.png [new file with mode: 0644]
figures/stierpinski_tri_n=10000.png [new file with mode: 0644]
ipython_notebooks/de_Casteljau.ipynb [new file with mode: 0644]
ipython_notebooks/fractals_basic.ipynb

diff --git a/figures/koch_snowflake_n=5.png b/figures/koch_snowflake_n=5.png
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diff --git a/figures/stierpinski_tri_n=10000.png b/figures/stierpinski_tri_n=10000.png
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diff --git a/ipython_notebooks/de_Casteljau.ipynb b/ipython_notebooks/de_Casteljau.ipynb
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+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Described in Goldman, used as argument that Beziers are fractals because they are fixed points of an iterated function system.\n",
+      "\n",
+      "The de Casteljau algorithm splits a Bezier curve into two Bezier segments.\n",
+      "\n"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Bezier Curve Definition"
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "\n",
+      "Bezier curve $P(t)$ of degree $n$\n",
+      "\n",
+      "$ P(t) = \\sum_{j=0}^{n} B_j^n (t) P_j  \\quad \\quad \\quad 0 \\leq t \\leq 1$\n",
+      "\n",
+      "For control points $P_0 ... P_n$, with Bernstein basis functions $B_j^n(t) = \\left(^n_j\\right)t^j(1 - t)^{n-j} \\quad \\quad j=0,...n$\n",
+      "\n",
+      "Binomial Coefficients: $\\left(^n_j\\right) = \\frac{n!}{n!(n-j)!}$"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Helpers"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from operator import mul    # or mul=lambda x,y:x*y\n",
+      "from fractions import Fraction\n",
+      "\n",
+      "def nCk(n,k): \n",
+      "    \"\"\" Binomial Coefficient nCk \"\"\"\n",
+      "    # Based on:\n",
+      "    # http://stackoverflow.com/questions/3025162/statistics-combinations-in-python\n",
+      "    # http://stackoverflow.com/questions/279561/what-is-the-python-equivalent-of-static-variables-inside-a-function\n",
+      "\n",
+      "    \n",
+      "    # Dynamic programming is possible in python!\n",
+      "    # Not sure if it's actually worth it though\n",
+      "    try:\n",
+      "        return nCk.dynamic[(n,k)]\n",
+      "    except KeyError:\n",
+      "        nCk.dynamic.update({(n,k) : int( reduce(mul, (Fraction(n-i, i+1) for i in range(k)), 1) )})\n",
+      "    return nCk.dynamic[(n,k)]\n",
+      "nCk.dynamic = {}\n",
+      "\n",
+      "# Simpler version...\n",
+      "def nCr(n,r):\n",
+      "    f = math.factorial\n",
+      "    return f(n) / f(r) / f(n-r)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 216
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from time import time\n",
+      "t0 = time()\n",
+      "nCk(100,50)\n",
+      "print str(time() - t0)\n",
+      "t0 = time()\n",
+      "nCr(100,50)\n",
+      "print str(time() - t0)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "0.000294923782349\n",
+        "0.000556945800781\n"
+       ]
+      }
+     ],
+     "prompt_number": 215
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Bezier from Definition"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "def B(n,j, t):\n",
+      "    \"\"\" Bernstein Basis Function of degree n \"\"\"\n",
+      "    assert(0 <= j <= n)\n",
+      "    return nCk(n,j) * t**j * (1. - t)**(n-j)\n",
+      "\n",
+      "def Bezier(P, t):\n",
+      "    \"\"\" Apply Bezier definition to produce a point on the Bezier curve with control points P \"\"\"\n",
+      "    n = len(P)-1\n",
+      "    return [sum([B(n, j, t) * P[j][i] for j in xrange(n+1)]) for i in xrange(len(P[0]))]\n",
+      "        \n",
+      "def PlotBezier(P,nPoints=50,style='o-'):\n",
+      "    \"\"\" Plot a Bezier \"\"\"\n",
+      "    points = map(lambda t : Bezier(P,t), linspace(0,1,nPoints))\n",
+      "    x = [p[0] for p in points]\n",
+      "    y = [p[1] for p in points]\n",
+      "    plot(x,y, style)\n",
+      "    plot([p[0] for p in P], [p[1] for p in P],'ro--')\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 266
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "title(\"Bezier Curves of Degree 2\")\n",
+      "PlotBezier([(0,0),(0.4,0.8),(1,1)],nPoints=100,style='-')\n",
+      "PlotBezier([(0,0),(0.4,-0.8),(1,1)],nPoints=100,style='-')\n",
+      "legend()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
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c6BiKpo75erx16hRA1u3boWrqyukUimmT58OW1tbeHt7AwA8PT1hY2ODAQMGoF27dtDU1ISHhwda\nt25dCb+ySKXR0OBFa375RSHDO1IpcPYssG0bcOMGn3P/zz98tighVYUxhuWXlsPnkQ+uTL2CpjpN\nAbGYf+97elabVbnlQQu4iMK8fMlL+/z6K6CvD8yZA4wdqzQVbkk1JmMyfO73Oa4nXIf/JH8Y1K0e\nswupVg9RWuHhwJYtfBerIUP4AqvOnYWOiqgLsVQM91PuSMxKxCX3S9CtVb2napYHJX51c+MGr01c\nxdNlpVLAx4ePHj15wq+ZPXpEBdKIYuWKczHm2Bhoamji7MSzqKNNf14ClVCygagIxoCffwYGDeIL\nVKpIRgbw4498A/KffgJmz+ZlFFasoKRPFOtV3iu47neFXm09HB97nCf94GDgxQuhQxMcJX518OIF\nv4B1+DDfB3fYsEo/xePHwNy5fBPyO3f41Mxr1/iSAG3tSj8dIR+UnJ2MXrt7waGxA/Z+uhfaWtp8\n9d/w4XyfTTVHib+6Cw4G2rcHWrUCrlyp1M3PGQOCgvjPUvfuQIMGwP37vP59p06VdhpCPkp0ejQ+\n2fkJRtmOwuYBm6Gpockr+g0dCvz+O9C1q9AhCo5m9VR3QUFAVha/qlpJxGLeo9+4kV8uWLCA72hF\nu1kRod1LuYeBBwZieY/lmN1pNn8wJYX3TBYtqnYLtCqaOynxk3LLzOSF0jZt4mP4CxfySwZKUKGZ\nEFyOvYwxx8bglwG/YFybcfzB16/5HhKDBwMVLG+gzGg6J6kySUnA5s38r+R+/XhZZEdHoaMi5K1T\nkacw8++ZODjqIPq26Pv2iTp1+KZBY8YIF5wSor5adSGRABcvVuohHz3iNXPs7ICcHD4T9PBhSvpE\nufx+83f8n+//4ezEs0WTPsD/HB07Vq1W5ZYH9firg7g4YMIEXm6hd2+5y1iGhQHr1gFXr/K6948f\n85W2hCgTxhi+u/wd9tzdg6ApQbDSp8KP5UU9flX399+8Cz5oEODnV+Gkzxjft7ZPH/5Xce/efP79\nt99S0ifKRyKTwPOMJ3we+SB4WjAl/Y9EPX5VVVDA97796y8+6N69e4UOI5PxFbZr1vDrYEuXAuPH\n09x7orxyxDlw+8sN+dJ8iNxF0Kml8/bJM2eAjh2BJk2EC1AFUOJXVRkZ/Hb7doW65BIJ391qzRp+\n/Wv5cj4fn2boEGWWlpOGoYeGwqqRFf4Y9gdqar2z9+aFC8D06cClS5T4y0DTOdVMQQGwbx+wdi3f\nVXH5cr6xmtgHAAAgAElEQVThEF37IsruycsnGHRgEEa3Ho3VfVYX3QHw5k2+Tdvx40CPHsIFqWA0\nnZN8UH4+sHMnv2jbqhX/umdPoaMipHxC40Mx4sgIePXygqejZ9En36zK/e03tUr68qDErwr+/Rcw\nNwdqfPx/V14eX3S1fj3Qrh0f3unSpQpiJKSK+ET6YMbfM7Br+C4MafXeCvSMDMDVle+VO2KEMAGq\nILlHdP39/WFjYwMrKyusX7++1HbXr19HjRo1cOLECXlPqV727QOcnPhY/kfIywO2buW7Wp07x6//\n+vpS0ieq5ZfQXzDbdzb8JvgVT/oALxD122/VrhRDVZOrxy+VSjFnzhxcvHgRJiYm6NSpE4YNGwZb\nW9ti7ZYsWYIBAwbQWH55ZWfzLapCQ/nFqrZty/Wy/Hzew1+7FujQgc/Y6diximMlpJJJZVIsPL8Q\n55+ex7Vp19C8YSnFBTU0+Bxk8lHk6vGHhYXB0tISFhYW0NbWhpubG3x8fIq127JlC0aPHg1DQ0N5\nTqc+wsN5eUtNTb5cthxJv6AA8PYGrKwAf3+e8E+fpqRPVM/rgtcYdXQUwlPCP5z0SYXJ1eNPSEiA\nmZlZ4X1TU1OEhoYWa+Pj44NLly7h+vXrRa/Ev8PLy6vwa2dnZzhX8Q5RSm3dOuCrr3jJyzJIJHw0\naNUqwNqaT+unbQ2JqkrMSsSwQ8NgZ2SHo2OOFp2uSSASiSASieQ+jlyJv7Qk/q758+dj3bp1hdOO\nShvqeTfxq70DB8qcXymT8Qu1334LmJjwGvgVXMNFiFK4m3wXQw8NhWdHT3zV46uS88uuXXxZuYWF\nwuNTBu93ildWsOKoXInfxMQEcXFxhffj4uJgampapM3Nmzfh5uYGAEhLS8PZs2ehra2NYVWwC1S1\n8YGkzxiv0rBiBa9//+uvgIuLAmMjpAqciTqDqT5TsW3QNoy1G1tyo4MHeU+nb9+Snyflx+QgFotZ\nixYtWHR0NMvPz2f29vYsIiKi1PZTpkxhx48fL/a4nGGoLpmMsVevyt380iXGnJwYa9uWsdOn+csJ\nUWUymYz9/M/PrMmPTdg/cf+U3vD8ecaMjBi7f19xwamAiuZOuXr8NWrUwNatW+Hq6gqpVIrp06fD\n1tYW3t7eAABPT88yjqDGXrwApkzhWyH+8ssHm968CSxbxqfzr1oFuLlRaQWi+gqkBZjjNwch8SEI\nnh4MCz2LkhvevAlMnMhX5drZKTTG6opKNgjh6lVeRnnsWF4sp2bJF7CePOFDOpcvA19/zcuQlNKU\nEJXyIucFRh8bDZ2aOjgw8kDRQmvvSkvjKw+3b6cFWiWoaO6kfqMiyWQ80Y8ezQfnf/yxxEyeksLr\n4Hfpwr/nHz8GZs+mpE+qh4epD9Hlzy7o1LQTTo47WXrSB3gBwrNnKelXMirZoEgHDvBJ9jduAO9d\nBAf4mq2ffuIjP5MnA5GRgIGBAHESUkX8Hvthyqkp2NBvA6Y4TCn7BRoagL19lcelbmioR5GkUj4t\n572aOxIJL5rm5cVnqn3/PR/6J6S6YIzhx+AfsSl0E46NOYZuZt2EDqlaoOqcquC93bEY45tmffkl\n0Lgxn6ZJK21JdZMrzoXnGU88SH2AkOkhMGtgVvaLSJWiMf6qIpN98Ok7d/h05C+/BH74AQgIoKRP\nqp+4V3HoubsnCqQFuDL1StlJf/16PquBVClK/FXhzBnAwYGXyHxPYiIwdSowYADf2zY8HBg8mDZC\nIdXP1WdX4fSHE0bbjsahUYdQV7vuh1+wcSOwZw/QqJFiAlRjNNRTmQoK+IT7v/7iqwxr1y58KieH\nX7jdtAnw8ACiogBdXQFjJaSKMMbgfdMb3wR+g72f7sUAywFlv+jgQf7Dce0aJX4FoMRfWf79l6+s\natwYuHWrcB9cxnhNnSVLeFn9Gzfowi2pvvIkefjc73OExIfg2rRrsNK3KvtFFy4ACxbw8uNmNP6v\nCJT4K0NGBq+QtmQJ8MUXheM2N2/yu7m5vIga7QpHqrO4V3EYdXQUmuk1Q+iMUNSvWb/sFyUn81W5\nJ07QqlwFoumclSUlBTA2Lvzyq6/4jJ3VqwF392ITegipVgKjAzHhxAQs6LIAX3b7slyVewvFxgLN\nmlVdcNUYrdwVmrExxGJ+fapNG6BhQ74Aa9o0Svqk+mKMYcO1DRh/fDz2jtiLxd0Xf1zSByjpC4CG\neirJhQvAvHm8TPjVq3xTFEKqs8z8TEw5NQXxmfEI8wiDeQNzoUMi5UQ9/o+Rnc0ragYGFj4UGwuM\nGgV4evIpyH5+lPRJ9Xcv5R46/d4JxvWNcWXqFUr6KoYSf3mFhwOOjvzCbefOyMvjpRU6dOClRB48\nAIYNo/n4pPrbc2cP+uztgxU9VuDXwb+iVo1a5XuhTAbMnw88elS1AZIy0VBPWRgDfvuN10feuBH4\n7DOcOwfMmQO0bk3TM4n6yBXnYu7Zubj67CpE7iLYGX3kLJwlS4Dr14G1a6smQFJulPjL8sUXvCD+\n1auIr2eNBWP4NM0tW/iKW0LUQdSLKIw9Nha2hra47nH9w6WUS7JxI+Dryy+A1alTNUGScpN7qMff\n3x82NjawsrLC+vXriz1/4MAB2Nvbo127dujevTvCw8PlPaVizZoFydUQbPS1hoMDYGvLh3Uo6RN1\ncejeIXTf2R2zHGfh4MiDH5/0Dxzgq3LPnaNVucpCnv0eJRIJa9myJYuOjmYFBQUl7rkbHBzMMjIy\nGGOMnT17ljk5ORU7jpxhVKngYMbatWOsb1/GHj0SOhpCFCenIIfN/Hsms/rFit1Oul2xg8TFMWZs\nTHvlVpGK5k65evxhYWGwtLSEhYUFtLW14ebmBh8fnyJtunbtigYNGgAAnJycEB8fL88pFSY9HZg1\ni8/YWboUOH8eaNVK6KgIUYyHqQ/h9IcTMvMzcWPmDTg0dqjYgUxN+Z/ItCpXqcg1xp+QkACzd2pr\nmJqaIjQ0tNT2f/75JwYNGlTic15eXoVfOzs7w9nZWZ7QPt7Vq8D162DzF+DIEeB//+O7vUVEAHp6\nig2FEKEwxvDn7T+xLGAZ1rmsw7T20z5+Qdb7/qtbReQnEokgEonkPo5cif9jviECAwOxc+dOXLt2\nrcTn3038CiWTAevWAb/8gpQ1f2LqYCAujpcO6dJFmJAIEcKrvFfwPOOJiNQIXJ5yGbaGtkKHRN7z\nfqd45cqVFTqOXEM9JiYmiIuLK7wfFxcH0xL2kg0PD4eHhwdOnz6Nhg0bynPKypWcDLi6gp31x28z\nb8Bu8WD07MmLa1LSJ+okOC4YDt4O0K+rj9AZoZT0qzt5LiyIxWLWokULFh0dzfLz80u8uBsbG8ta\ntmzJ/vnnn1KPI2cYFRMWxliTJizJYwXr3EHMevdm7PFjxYdBiJDEUjFbKVrJjH8wZj6RPvIdLD+f\nsXHjGIuMrJzgSJkqmjvlGuqpUaMGtm7dCldXV0ilUkyfPh22trbw9vYGAHh6emLVqlVIT0/H7Nmz\nAQDa2toICwuT9/eV3PKMzLHfeT++OtUH69fzSgy06paok+j0aHx28jPU0a6DW5630FSnacUPJpPx\nioS5uUDLlpUXJKkSalmW+coVYMYMoF07vhCrcWOFnZoQwTHGsPfuXiy6sAhLuy/Fgq4LoKkh55Ke\nL78EgoOBixdpgZYCVTR3qtXK3exsPjXz5Eme8EeOFDoiQhTrRc4LzPKdhci0SARMDkA743byH3Tj\nRl6d8MoVSvoqovoXaSsoALZuRcA5Cdq25cn//n1K+kT9nH18FvY77GGqa4rrHtcrJ+lHRwNbtwL+\n/rQqV4VU76Gef/+FdIwb7r9oDDfJAWz8XQcDB1b+aQhRZtkF2Vh4fiH8n/hj9/Dd6N28d+WeIDeX\nevoCoR243nfsGPI7dMH3/07Atn4+CHlASZ+onyuxV2C/wx4F0gKEzwqv/KQPUNJXQdVvjL+gAAWf\nz0fG0fOYWscPX+x1RP/+QgdFiGLliHOw/NJyHLl/BL8O/hXDbYYLHRJRItUu8Qde1sL1v8zwbNhN\nHNzaAP+VCSJEbQTHBWPKqSlwbOqIe7PvQb9uJZZMYIzmPVcD1WaMPycHWLYM+Osvvm8KlU0m6uZ1\nwWusCFyBw/cPY+vArRjVelTlniArCxg6FPjjD8DSsnKPTSpErcf4w8KA9u2B1FTg3j1K+kT9BEYH\not2Odkh9nYp7s+9VftIvKOClalu1ogVa1YBK9/jFt8Kxaa8+fjxkgi1bgLFjqyA4QpRYRl4Gllxc\nAr/Hfvh18K8Y0mpI5Z9EJgMmT+Y9/uPHgRrVboRYZalXj58xJK/0RraTC15du487dyjpE/Vz8uFJ\ntNneBpoamrg/+37VJH0AWLyYz9c/fJiSfjWhcv+LLOMVnrjMRP7dSNxbcRXffWtN15qIWknITMA8\n/3l48PwBDo06hB7NelTdyaKigEuXqBRDNaNSPf40/+tIatoBd+INUOt2KMZ7UdIn6kMqk2JL6BY4\neDvAztAOd2bdqdqkD/Ax/evXaVVuNaMyPf7Tp4Ebk66i9aD1GHVoNLS1hY6IEMW5nXQbM8/MRF3t\nuorfJEVLS3HnIgqh9Bd3c3KAhQt5KZD9+4Hu3RUcHCECepX3Cl8Hfo0jD45grctaTHWYKv9WiKTa\nqJYXd+/eBRwd+WSCO3co6RP1wRjDwXsHYbvNFnmSPET8X0Tl7H9bFqm0ao9PlIJSDvUwiRR7vKKx\n+DdLbNwITJokdESEKE54Sjjmnp2LrPwsnBh3Al1MFbQPaEoK0LcvcOYM0KyZYs5JBCF3j9/f3x82\nNjawsrLC+vXrS2wzb948WFlZwd7eHrdv3y6xzTgDA2z38kLag2TcaTIA5tuX4p9/KOkT9ZGRl4F5\nZ+eh796+GN9mPK57XFdc0s/K4isfR46kpK8OKrzZI2NMIpGwli1bsujoaFZQUFDinru+vr5s4MCB\njDHGQkJCmJOTU7HjgFcAYTM1tdg61GcXu33NCnLE8oRGiMqQSCVsx/UdzPgHYzbz75ks7XWaYgPI\nz2esf3/GPDwYk8kUe24il4qmcLmGesLCwmBpaQkLCwsAgJubG3x8fGBr+3bGwenTp+Hu7g4AcHJy\nQkZGBlJSUmBsbFzseN4yKUbX1cSSa6vkCYsQlREYHYj55+ZDr7Yezk48i/ZN2is2gDd75dauDWzf\nTgXY1IRciT8hIQFmZmaF901NTREaGlpmm/j4+GKJ3+u/f59I8yESieDs7CxPaIQotagXUVhycQnu\nJN/BD/1+wCjbUcLM1nn4EHj+HPDxoVW5KkAkEkEkEsl9HLn+p8v7jcrem25U0uu8/vs3sn4tSvqk\n2nqR8wKrLq/CwXsH8WW3L3Fo1CHUrlFbuIDs7IBz56inryKcnZ2L5MeVK1dW6DhyXdw1MTFBXFxc\n4f24uDiYmpp+sE18fDxMTExKPN7n2hqYkJ2JgI1zq2YrRkIEkivOxfqr62GzzQYSmQQR/xeBxd0X\nC5v036Ckr3bkSvyOjo54/PgxYmJiUFBQgCNHjmDYsGFF2gwbNgx79+4FAISEhEBPT6/E8X03AwPY\nffUNWp/cD+s13jg9rBVSX6fKEx4hgpPKpNh1exdabW2FsMQwXJ16FdsGbYNhPUOhQyNqTK6hnho1\namDr1q1wdXWFVCrF9OnTYWtrC29vbwCAp6cnBg0aBD8/P1haWqJevXrYtWtXicc6nPo2yec/dEHq\nb5/Dfoc9bRtHVBJjDCcjT2LFpRXQr6uPo6OPoqtZV6HD4kvh69YVOgoiMKUu2XA59jKm+kxFN7Nu\n2DxgMxrVoUJRRLkxxhAQHYCvAr5CgbQAa1zWYKDlQOUos/DkCeDiAgQHA6UMtxLVUi1LNvRs1hPh\ns8LRsHZDtNneBscjjgsdEiGlCooJgvMeZ3zu9zkWdl2IW563MMhqkHIk/ZQUYMAAvj8pJX21p9Q9\n/ndde3YNe9e5oXYLayyeuQcmuvTNS5TDldgr8AryQkxGDL7t9S0mtJ2AGppKNDUyKwvo3ZuvzK3g\nLBCinCra41eZxA8ABXt3Qzzvc3zVTxMtF36P/+v8uXL9gBG1wRhDUGwQVgatRGxGLJb3WI7J9pOh\nraVk9cILCoAhQwALC8Dbm2bwVDNqkfgBABERyBs9AlcbZMLLzRg/jNyhHBfNiFpgjOHc03NYc2UN\nkrOTsbzHckxoO0H5Ev4b9+4BP/wA7NxJC7SqIfVJ/ACQmws2fz6y/H0werQMTXsMwrq+69C4fuOq\nC5KoNalMihMPT2Dt1bUQy8RY9skyjLUbS39xEkGpV+J/48gRvG7WFCuz/sbO2zuxqNsizO8yXzkW\nxZBqIVeci913dmNjyEYY1DXAV598hcGtBkNTQ6nnRRA1oZ6J/x2PXzzGkotLcCvpFta6rMW4NuPo\nh5NU2PPXz/Hr9V+x/cZ2OJk4YXH3xehu1l05ZugQ8h+1T/xvBMUE4csLX0LKpFjfdz36tuhbKccl\n6uFeyj1sCt2EEw9PYEzrMZjfZT5aG7YWOqzye/EC0NcXOgqiIJT438H8/XHcNBNfBa6AWQMzfNf7\nO3Qz61ZpxyfVi0QmwelHp7ElbAsepT3C550+h6ejJwzqGggd2se5eZNP2QwPB4yMhI6GKAAl/jfy\n8vjqRF1diHf9ib2JZ/Hd5e9ga2iLb3t9q7gdjYjSS85Oxs7bO7Hjxg6YNzDHnM5zMNJ2JGpq1RQ6\ntI/39CnQowewbRvw6adCR0MUpFqu3K2Q2rUBkQhwcIC2Y2dMz2yJqLlRGG49HOP+God++/ohKCaI\nqn+qKRmTIeDfAIw5Nga222wRkxEDHzcfXJ12FW5t3FQz6aekAK6uwDffUNIn5VL9evzvOncOmDIF\n8PQEvv4aBZBif/h+rL26FgZ1DbC422IMtxlOF4HVQHxmPHbf2Y2dt3dCp5YOPDt6YmLbiWhQu4HQ\nocmHVuWqNRrqKU1iIrB8ObB5M6CrC4DPyT4ZeRIbrm1ARl4G5neZj8n2k1G/Zv2qiYEIIlecC59H\nPthzdw9C40Mx1m4sZnSYgY5NOlaf2Tn37wN79wLr19OqXDVEib8CGGO48uwKNoduRlBMEKY4TMEs\nx1mwbGSp8FhI5ZDKpLgcexkH7h3AiYcn4NjUEe727vjU9lPU1aZyxKR6ocQvp5iMGGy/vh277+xG\n+ybtMavjLAxpNUR5l+KTQowxXE+8jqMPjuLw/cMwrGeI8W3GY0LbCTDVNS37AISoKIUn/pcvX2Lc\nuHGIjY2FhYUFjh49Cj09vSJt4uLiMHnyZDx//hwaGhqYOXMm5s2bV2nByyUvj28ybW5e9GFJHo49\nOIbfb/2OqBdR+Mz+M0x1mKpac7nVgIzJEJYQhuMPj+PYg2OoVaMWxtqNxfg24+n/iqgNhSf+xYsX\nw8DAAIsXL8b69euRnp6OdevWFWmTnJyM5ORkODg4IDs7Gx07dsSpU6dga2tbKcHLJSAAGD+eVyws\nZSZE1Iso7Ly9E/vD98O4vjEmtZ0EtzZuaKLTRLGxEgBAviQfQbFBOBV5Cj6PfNCgVgOMtB2JsXZj\n0daobfUZt/+QmBheaZMQCJD4bWxsEBQUBGNjYyQnJ8PZ2RmRkZEffM2IESMwd+5cuLi4FA1CqKGe\n0FDAzQ0YOpRXMKxVq8RmUpkUohgR9oXvg88jH9gb22Os3ViMtB1JheGqWFJWEvyf+OPM4zMI+DcA\ntoa2GG49HJ/afAprA2uhw1Os8+eBzz4DIiJodS4BIEDib9iwIdLT0wHwMdZGjRoV3i9JTEwMevXq\nhQcPHqB+/aKzZzQ0NPDtt98W3nd2doazs3NFwvp4GRnAjBlAdDRw+DBgZfXB5nmSPJx/eh5HHhyB\n32M/2BrYYoTNCAxtNRQ2Bjbq0eusQjniHFx7dg0X/r2Ac0/PIe5VHFxauGCI1RAMtBoIo3pquiL1\n5k2+g9aJE3yhFlFLIpEIIpGo8P7KlSsrP/H369cPycnJxR5fvXo13N3diyT6Ro0a4eXLlyUeJzs7\nG87OzlixYgVGjBhRPAihL+4yBvz6K1/qvmNHuV9WIC2AKEaEk5En4RvlCy1NLQyyGoT+LfrD2cJZ\n9eeIK0CuOBehCaG4HHsZl6Iv4UbiDdg3tkffFn3h2tIVnU06U+njN6tyt28HSvj5IepLkKEekUiE\nxo0bIykpCb179y5xqEcsFmPIkCEYOHAg5s+fX3IQQif+SsAYw4PUB/B77IcL/15ASHwI2hq1hbOF\nM3o264luZt2gW0tX6DAFl5iViH/i/kFIQgiC44JxN/ku2hi1QY9mPdDbojd6mPeATi0docNUHs+f\nA926AYsWAbNmCR0NUTKCXNzV19fHkiVLsG7dOmRkZBS7uMsYg7u7O/T19fHzzz+XHkQ1SPzvyxXn\nIjguGEGxQbgcexk3Em/AspEluph2QRfTLnBs6ggbA5tq25tljCEhKwHhKeG4lXQLNxJv4EbiDeRJ\n8tDFtAu6mnZFV7Ou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yMhASkqKokJUmPJ8Fl27dkWDBg0A8M8iPj5eiFCrXHk+CwDYsmUL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\ngg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3c4ee50>"
+       ]
+      }
+     ],
+     "prompt_number": 267
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Fractal Beziers"
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Urgh"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
\ No newline at end of file
index a921ad4..38b7eee 100644 (file)
@@ -88,7 +88,7 @@
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 193
+     "prompt_number": 436
     },
     {
      "cell_type": "code",
@@ -99,7 +99,7 @@
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 194
+     "prompt_number": 437
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 195
+     "prompt_number": 438
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
+      "title(\"Stierpinski Triangles (10000 points)\")\n",
       "scatter(x, y, marker=',', s = 1e-3)"
      ],
      "language": "python",
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 196,
+       "prompt_number": 440,
        "text": [
-        "<matplotlib.collections.PathCollection at 0x79a6290>"
+        "<matplotlib.collections.PathCollection at 0x11957d50>"
        ]
       },
       {
        "metadata": {},
        "output_type": "display_data",
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lTg5OeHt7U1mZiaLFi2itLQUgJSUFDo7O1EoFGRlZbFjxw7S0tIAyMvLY926dQQHB7N06VKsra05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\nrcaiRYtQWFiIjo4O/Pbbb7h16xYOHTqEjIwM1NTUQBAEBAcH48aNG1i2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BnD8+HFaW1tpbGzkiSeeoKioCGdnZwIDA6/I197ezmeffYZKpaJ79+5kZGSgp6fH5MmT2bVrF8nJ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\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x7565150>"
+        "<matplotlib.figure.Figure at 0x110c8590>"
        ]
       }
      ],
-     "prompt_number": 196
+     "prompt_number": 440
     },
     {
      "cell_type": "heading",
       "    normal = asarray([-s[1], s[0]])\n",
       "    normal = normal / sum(normal*normal)**0.5\n",
       "    # Calculate the three points \n",
-      "    # (I *think* that in the definition these are the maps that form the iterated function system)\n",
+      "    # Are these are the maps that form the iterated function system?\n",
+      "    # \"Notice that in each case the entire fractal can be recovered from a single point.\" Goldman\n",
+      "    # But for this I need *two* points :S\n",
+      "    \n",
       "    a = asarray(x0) + s/3. # 1/3 from x0 to x1\n",
       "    b = asarray(x0) + 2.*s/3. # 2/3 from x0 to x1\n",
       "    c = asarray(x0) + 0.5*s + ((sum(s*s)**0.5)/3.)*normal # Form an equilateral triangle with a & b\n",
       "    points = koch(n, [(0,0),(0.5, 0.75), (1,0)])\n",
       "    x = [p[0] for p in points]\n",
       "    y = [p[1] for p in points]\n",
-      "    plot(x, y, ',-')"
+      "    plot(x, y, ',-')\n",
+      "title(\"Koch Snowflake (first 5 iterations)\")"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 434,
+       "text": [
+        "<matplotlib.text.Text at 0x17e28a50>"
+       ]
+      },
       {
        "metadata": {},
        "output_type": "display_data",
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LWmVuDsyucbfCkRB5ERwLbV29UQfduVo93zyIssZ8UMkaS+XEdYrkMoiB8xP5jSsLhXRdI7ygvxa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\n+yzZf6dAF29McccDJHoo2CcIhAI6cygt1WPSRhcZ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P4+/vX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\nSUVORK5CYII=\n",
        "text": [
-        "<matplotlib.figure.Figure at 0xdd3a110>"
+        "<matplotlib.figure.Figure at 0x110e3310>"
        ]
       }
      ],
-     "prompt_number": 373
+     "prompt_number": 434
     },
     {
      "cell_type": "code",
      "cell_type": "markdown",
      "metadata": {},
      "source": [
-      "So I worked it out, but I didn't work it out very efficiently.\n",
-      "It appears to be $O(n^4)$ :S"
+      "So I worked it out, but I didn't work it out very efficiently..."
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
+      "# It might be O(n^4) if I remember DSA right which I might not...\n",
       "plot(range(nMax), costs)\n",
-      "for deg in xrange(4,5):\n",
-      "    fit = numpy.polynomial.polynomial.polyfit(range(nMax), costs, deg)\n",
-      "    plot(linspace(0, nMax), map(lambda x : sum([fit[i]*x**i for i in xrange(len(fit))]), linspace(0, nMax)))"
+      "fit = numpy.polynomial.polynomial.polyfit(range(nMax), costs, 4)\n",
+      "plot(linspace(0, nMax), map(lambda x : sum([fit[i]*x**i for i in xrange(len(fit))]), linspace(0, nMax)))"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 447,
+       "text": [
+        "[<matplotlib.lines.Line2D at 0x12142190>]"
+       ]
+      },
       {
        "metadata": {},
        "output_type": "display_data",
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M+aiiVd3mjUMg5O1JymqKqKosogjlUcoqiriZO3J864WOXdpsjdhYDgnBc9uGxjOqzxCA1smF0MC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\nPkwhLyLiwxTyIiI+TCEvIuLD/j8UvjWJpFx3SAAAAABJRU5ErkJggg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x108f00d0>"
+        "<matplotlib.figure.Figure at 0x121a9310>"
        ]
       }
      ],
-     "prompt_number": 433
+     "prompt_number": 447
     },
     {
      "cell_type": "code",

UCC git Repository :: git.ucc.asn.au