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IPython Notebook - Fractais com Sistema Iterativo de Funções
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"%install_ext \"https://raw.github.com/cjdrake/ipython-magic/master/gvmagic.py\""
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"Installed gvmagic.py. To use it, type:\n",
" %load_ext gvmagic\n"
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"%load_ext gvmagic"
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"%matplotlib inline"
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"source": [
"# Fractais com Sistema Iterativo de Fun\u00e7\u00f5es\n",
"\n",
"Um sistema iterativo de fun\u00e7\u00f5es (SIF) \u00e9 um m\u00e9todo capaz de gerar fractais, ou seja, onde as constru\u00e7\u00f5es geradas exibem propriedades de auto-similaridade.\n",
"\n",
"Em geral, elas podem ser computadas sem restri\u00e7\u00f5es em qualquer n\u00famero de dimens\u00f5es, mas na pr\u00e1tica o que se v\u00ea \u00e9 um interesse maior por sistemas em duas dimens\u00f5es (2D), pelo fato de ser diretamente mape\u00e1vel \u00e0 imagens.\n",
"\n",
"Neste tutorial, vamos entender melhor o que \u00e9 um SIF atrav\u00e9s do design de um c\u00f3digo em Python que computa esses sistemas, e tamb\u00e9m os exibem graficamente."
]
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"## Defini\u00e7\u00e3o\n",
"\n",
"No n\u00facleo de um SIF est\u00e1 um _procedimento estoc\u00e1stico_.\n",
"\n",
"Diferentemente de uma fun\u00e7\u00e3o matem\u00e1tica tradicional, um procedimento estoc\u00e1stico escolhe um valor de uma _distribui\u00e7\u00e3o de probabilidade_. Efetivamente, esse procedimento toma uma _decis\u00e3o probabil\u00edstica_ (_i.e._ aleat\u00f3ria) baseado na distribui\u00e7ao de probabilidade que ela modela.\n",
"\n",
"> Usaremos a palavra \"procedimento\" para diferenciar fun\u00e7\u00f5es matem\u00e1ticas e \"fun\u00e7\u00f5es\" no c\u00f3digo - que n\u00e3o s\u00e3o matem\u00e1tica se tiverem efeitos colaterais ou se podem retornarem um valor diferente cada vez que forem executadas (como \u00e9 o caso aqui).\n",
"\n",
"Para voc\u00ea entender melhor o que significa um procedimento estoc\u00e1stico, vamos modelar um evento aleat\u00f3rio: o resultado do jogo de um dado de seis faces.\n",
"\n",
"Os resultados poss\u00edveis s\u00e3o 1, 2, 3, 4, 5, e 6, e cada um deles tem uma probabilidade $\\frac{1}{6}$ de serem observados.\n",
"\n",
"O procedimento a seguir toma uma _decis\u00e3o probabil\u00edstica_ (escolhe um dos valores de 1 a 6 de uma distribu\u00e7\u00e3o uniforme):"
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"input": [
"import random\n",
"\n",
"def dice_outcome():\n",
" # O procedimento \"randint\" do modulo \"random\" retorna um valor numerico inteiro\n",
" # entre (e incluindo) os parametros m\u00ednimo e m\u00e1ximo, escolhidos de uma distribui\u00e7\u00e3o\n",
" # uniforme:\n",
" return random.randint(1, 6)"
],
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"O procedimento `dice_outcome` pode ser representado pelo gr\u00e1fico a seguir. A interpreta\u00e7\u00e3o correta \u00e9: ao chamar o procedimento `dice_outcome`, \u00e9 tomada uma decis\u00e3o de qual valor ser\u00e1 retornado (1, 2, 3, 4, 5 ou 6), e cada um deles tem $\\frac{1}{6}$ de chance de ser \"escolhido\"."
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"%%dot\n",
"digraph G {\n",
" f [shape=\"box\", label=\"dice_outcome\"];\n",
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" f->2 [label=\"1/6\"];\n",
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"source": [
"Podemos usar o procedimento para mostrar o histograma (observe que de $10000$ observa\u00e7\u00f5es, aproximadamente $1600$ destas pertence a cada caso):"
]
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"input": [
"import pylab\n",
"import matplotlib\n",
"\n",
"matplotlib.rcParams['savefig.dpi'] = 72\n",
"\n",
"# Esta \u00e9 um procedimento auxiliar que plota o histograma de um procedimento estoc\u00e1stico \"f\"\n",
"# que retorna n\u00fameros. r e N s\u00e3o par\u00e2metros do histograma (range e n\u00famero de observa\u00e7\u00f5es).\n",
"def plot_histogram(f, r, N):\n",
" pylab.figure()\n",
"\n",
" # Primeiro observamos N vezes o valor de dice_outcome:\n",
" samples = [f() for i in xrange(N)]\n",
"\n",
" n, bins, patches = pylab.hist(samples, r)\n",
" pylab.plot(bins)\n",
"\n",
"plot_histogram(dice_outcome, 6, 10000)"
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"text": [
"<matplotlib.figure.Figure at 0x1039bfd90>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"No SIF, esse procedimento estoc\u00e1stico \u00e9 um procedimento que aceita um valor de entrada - no caso um vetor - e retorna tamb\u00e9m um vetor na sa\u00edda - que \u00e9 uma transforma\u00e7\u00e3o do vetor de entrada.\n",
"\n",
"Sem perda de generalidade, vamos considerar que esse vetor \u00e9 bidimensional (_i.e._ um ponto no plano), e tamb\u00e9m que esse procedimento faz uma transforma\u00e7\u00e3o linear (ou seja, uma transforma\u00e7\u00e3o afina).\n",
"\n",
"> Depois de entender o conceito, sem esfor\u00e7o voc\u00ea ver\u00e1 que essa ideias naturalmente se extendem para multiplas dimens\u00f5es e tamb\u00e9m para transforma\u00e7\u00f5es n\u00e3o-lineares.\n",
"\n",
"O procedimento do SIF (vamos chamar de $T$) escolhe ent\u00e3o uma transforma\u00e7\u00e3o linear para ser aplicado ao se vetor de entrada (ao qual chamaremos $\\vec{v}$). Cada uma das transforma\u00e7\u00f5es lineares est\u00e1 associada \u00e0 uma probabilidade de ser escolhida (assim como os valores do dado).\n",
"\n",
"Ent\u00e3o, tudo que $T$ faz \u00e9 escolher uma de suas transforma\u00e7\u00f5es lineares e depois aplicar esta a $\\vec{v}$ para computar o valor final.\n",
"\n",
"Ent\u00e3o, onde $T$ \u00e9 o procedimento probabil\u00edstico, $N$ \u00e9 o n\u00famero total de transforma\u00e7\u00f5es lineares, $f_n$ \u00e9 a n-\u00e9sima transforma\u00e7\u00e3o linear, onde $1 \\leq n \\leq N$, e $P(f_n)$ \u00e9 a probabilidade da n-\u00e9sima tranforma\u00e7\u00e3o linear ser escolhida, onde $1 = \\sum_{i=0}^{N} P(f_i)$. Podemos representar $T$ graficamente como:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%dot\n",
"digraph G {\n",
" f1 [label=\"f1(v)\", shape=\"box\"];\n",
" f2 [label=\"f2(v)\", shape=\"box\"];\n",
" f [shape=\"box\", label=\"...\"];\n",
" fN [label=\"fN(v)\", shape=\"box\"];\n",
"\n",
" T->f1 [label=\"P(f1)\"];\n",
" T->f2 [label=\"P(f2)\"];\n",
" T->f [label=\"...\"];\n",
" T->fN [label=\"P(fN)\"];\n",
"\n",
"}"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"svg": [
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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" -->\n",
"<!-- Title: G Pages: 1 -->\n",
"<svg width=\"278pt\" height=\"130pt\"\n",
" viewBox=\"0.00 0.00 278.00 130.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
"<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 126)\">\n",
"<title>G</title>\n",
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"<!-- f1 -->\n",
"<g id=\"node1\" class=\"node\"><title>f1</title>\n",
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"<text text-anchor=\"middle\" x=\"27\" y=\"-13.8\" font-family=\"Times,serif\" font-size=\"14.00\">f1(v)</text>\n",
"</g>\n",
"<!-- f2 -->\n",
"<g id=\"node2\" class=\"node\"><title>f2</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"126,-36 72,-36 72,-0 126,-0 126,-36\"/>\n",
"<text text-anchor=\"middle\" x=\"99\" y=\"-13.8\" font-family=\"Times,serif\" font-size=\"14.00\">f2(v)</text>\n",
"</g>\n",
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"<g id=\"node3\" class=\"node\"><title>f</title>\n",
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"<text text-anchor=\"middle\" x=\"171\" y=\"-13.8\" font-family=\"Times,serif\" font-size=\"14.00\">...</text>\n",
"</g>\n",
"<!-- fN -->\n",
"<g id=\"node4\" class=\"node\"><title>fN</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"270,-36 216,-36 216,-0 270,-0 270,-36\"/>\n",
"<text text-anchor=\"middle\" x=\"243\" y=\"-13.8\" font-family=\"Times,serif\" font-size=\"14.00\">fN(v)</text>\n",
"</g>\n",
"<!-- T -->\n",
"<g id=\"node5\" class=\"node\"><title>T</title>\n",
"<ellipse fill=\"none\" stroke=\"black\" cx=\"135\" cy=\"-104\" rx=\"27\" ry=\"18\"/>\n",
"<text text-anchor=\"middle\" x=\"135\" y=\"-99.8\" font-family=\"Times,serif\" font-size=\"14.00\">T</text>\n",
"</g>\n",
"<!-- T&#45;&gt;f1 -->\n",
"<g id=\"edge1\" class=\"edge\"><title>T&#45;&gt;f1</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M115.498,-90.9919C105.342,-84.5096 92.8587,-76.1774 82.2275,-68 72.2477,-60.3236 61.7955,-51.3241 52.7027,-43.1469\"/>\n",
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"</g>\n",
"<!-- T&#45;&gt;f2 -->\n",
"<g id=\"edge2\" class=\"edge\"><title>T&#45;&gt;f2</title>\n",
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"</g>\n",
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"<g id=\"edge3\" class=\"edge\"><title>T&#45;&gt;f</title>\n",
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"</g>\n",
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"<g id=\"edge4\" class=\"edge\"><title>T&#45;&gt;fN</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"215.27,-45.0021 221.014,-36.0999 210.972,-39.4766 215.27,-45.0021\"/>\n",
"<text text-anchor=\"middle\" x=\"211.941\" y=\"-56.8\" font-family=\"Times,serif\" font-size=\"14.00\">P(fN)</text>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dado que transforma\u00e7\u00f5es lineares podem ser codificadas em matrizes, ent\u00e3o $T$ pode ser descrito (em Python) por uma lista pares \"probabilidade\" e \"matrizes\" ($P(f_n)$, $f_n$).\n",
"\n",
"Como exemplo inicial, definimos $T1$ como:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"\n",
"T_probabilities = [(1/3., numpy.array([[.5, 0, 0], [0, .5, 0], [0, 0, 1]])),\n",
" (1/3., numpy.array([[.5, 0, .5], [0, .5, .5], [0, 0, 1]])),\n",
" (1/3., numpy.array([[.5, 0, 1], [0, .5, 0], [0, 0, 1]]))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u00c9 importante \"normalizar\" as probabilidades caso elas n\u00e3o somem 1. Observe que devido a erros de aproxima\u00e7\u00e3o `1/3. + 1/3. + 1/3.` n\u00e3o \u00e9 exatamente igual a 1.\n",
"\n",
"Outro ponto importante a notar \u00e9 como n\u00f3s estamos representando as matrizes de transforma\u00e7\u00f5es lineares: elas s\u00e3o matrizes afinas para duas dimens\u00f5es normalizadas (ou seja, 3x3). Logo, nossos vetores tamb\u00e9m deve ser normalizados na forma $\\{x, y, 1\\}$.\n",
"\n",
"Um m\u00f3dulo importante do sistema \u00e9 a habilidade de decidir entre uma da matrizes aleat\u00f3riamente baseado na probabilidade de cada uma - ou seja, temos que implementar um algor\u00edtmo para decis\u00e3o probabil\u00edstica com \"peso\".\n",
"\n",
"Uma das formas de se implementar isso \u00e9 fazendo uso do algoritmo _roulette wheel_ (algor\u00edtmo da roleta). Ele funciona da seguinte maneira:\n",
"\n",
" 1. $S \\rightarrow$ Soma de todas as probabilidades das escolhas.\n",
" 2. $x \\rightarrow$ Escolha um n\u00famero aleat\u00f3rio uniformemente entre zero e $S$.\n",
" 3. Itere sobre as escolhas (da primeira para a \u00faltima) acumulando o valor das probabilidades. Quando $x$ estiver entre o valor acumulador e a pr\u00f3xima soma acumulada, pare e decida por escolher a op\u00e7\u00e3o atual (onde est\u00e1 o iterador).\n",
"\n",
"O que seria mais \u00fatil para n\u00f3s \u00e9 uma pequena varia\u00e7\u00e3o deste algor\u00edtmo onde o resultado seria um procedimento estoc\u00e1stico - ou seja, nosso algoritmo \"contr\u00f3i\" para n\u00f3s um procedimento estoc\u00e1stico baseado nos dados que iremos passar.\n",
"\n",
"O c\u00f3digo a seguir implementa esse algor\u00edtmo (vamos fazer uso dele quando implementarmos $T$):"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Retorna um procedimento estoc\u00e1stico que escolhe uma das op\u00e7\u00f5es baseado na probabilidade\n",
"# de cada uma.\n",
"# Assume que o valor de \"options\" \u00e9 uma lista de tuplas, onde o primeiro elemento da tupla \u00e9\n",
"# a probabilidade do segundo valor da tupla ser escolhido por \"roulette_wheel\".\n",
"# T1 (definido anteriormente) tem esse formato.\n",
"def roulette_wheel(options):\n",
" # calcula \"S\" (passo 1)\n",
" S = sum(p for p, options in options)\n",
" \n",
" def stochastic_procedure():\n",
" # decide x (passo 2)\n",
" x = random.uniform(0, S)\n",
"\n",
" # escolhe a op\u00e7\u00e3o baseado em S e x (passo 3)\n",
" accum = 0\n",
" for p, option in options:\n",
" if accum <= x <= accum + p:\n",
" return option\n",
" accum += p\n",
" return stochastic_procedure\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"De fato, podemos re-implementar o algoritmo que decide o resultado de um dado usando `routelle_wheel`:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dice_probabilities = [(1/6., 1),\n",
" (1/6., 2),\n",
" (1/6., 3),\n",
" (1/6., 4),\n",
" (1/6., 5),\n",
" (1/6., 6)]\n",
"\n",
"dice_outcome_2 = roulette_wheel(dice_probabilities)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_histogram(dice_outcome_2, 6, 10000)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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6LpeLoqIiuru7JyS8iIikJqOyP3LkCC+88AJ9fX384x//YGRkhNbWVhobGykrK6O/v581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\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10fb1aed0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note que `roulette_wheel` \u00e9 um procedimento de \"segunda ordem\", ou seja, um procedimento que retorna outro procedimento.\n",
"\n",
"Finalmente podemos definitir $T$.\n",
"\n",
"Uma coisa importante aqui \u00e9 que, para podermos de certa forma \"visualizar\" a transforma\u00e7\u00e3o no espa\u00e7o, $T$ precisa transformar um conjunto de pontos em outro. Logo, nosso $T$ aqui \u00e9 um procedimento que pega um conjunto de vetores e retorna o mesmo conjunto adicionado a este os vetores transformados.\n",
"\n",
"Isso ser\u00e1 \u00fatil para ir acumulando vetores a cada vez que transformarmos o espa\u00e7o, gerando ent\u00e3o a imagem fractal:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# O procedimento \"compute_T\" computa um outro procedimento (T)\n",
"# baseado nos parametros. T \u00e9 um procedimento parametrizado\n",
"def compute_T(T_probabilities):\n",
" random_transformation = roulette_wheel(T_probabilities)\n",
"\n",
" def T(vectors):\n",
" new_vectors = []\n",
" for v in vectors:\n",
" new_vectors.append(numpy.dot(random_transformation(), v))\n",
" return vectors + new_vectors\n",
" \n",
" return T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T = compute_T(T_probabilities)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para gerar um fractal usando $T$ precisamos compor $T$ consigo mesmo infinitamente, ou seja, o espa\u00e7o bidimensional ser\u00e1 transformado por $T \\cdot T \\cdot T \\cdots$. Mas, como nosso computador \u00e9 limitado (e tamb\u00e9m depois de certo n\u00famero de composi\u00e7\u00f5es n\u00e3o h\u00e1 nenhuma diferen\u00e7a vis\u00edvel), podemos compor $T$ consigo mesmo apenas algumas vezes.\n",
"\n",
"De alguma forma temos que \"visualizar\" essa transforma\u00e7\u00e3o do espa\u00e7o. Uma forma de fazer isso \u00e9 come\u00e7ar com um conjunto de vetores (pode ser apenas um) e depois aplicar $T$ nesse conjunto de vetores quantas vezes desejarmos at\u00e9 o resultado final.\n",
"\n",
"Nesta vers\u00e3o, iremos \"manter\" todos os vetores no conjunto, de forma que ao aplicar $T$ vamos efetivamente computar a uni\u00e3o do conjunto de vetores iniciais com eles transformados depois de $T$. O algoritmo tem o seguinte formato:\n",
"\n",
" 1. $Q \\leftarrow$ C inicial de vetores\n",
" 2. Para cada itera\u00e7\u00e3o, fa\u00e7a o seguinte:\n",
" 3. Para cada vetor $v$ no conjunto de vetores $Q$:\n",
" 4. $Q \\leftarrow Q \\cup { T(v) }$\n",
" 3. O resultado \u00e9 $Q$\n",
" \n",
" Precisamos ent\u00e3o de um procedimento que componha outro procedimento $n$ vezes (no caso, $n = \\text{itera\u00e7\u00f5es}$).\n",
" "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# compose(f, n, initial_value) = f(f(f(f( ... initial_value ))))\n",
"def compose(procedure, n, initial_value):\n",
" value = initial_value\n",
" for i in xrange(n):\n",
" value = procedure(value)\n",
" return value"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Calcula o conjunto Q final para T, dado Q inicial sendo um conjunto\n",
"# com um ponto em <0, 0> (na forma normalizada)\n",
"points = compose(T, 15, [numpy.array([0, 0, 1])])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"matplotlib.rcParams['savefig.dpi'] = 144\n",
"\n",
"# procedimento auxiliar para plotar pontos 2D\n",
"def plot_points(points):\n",
" pylab.figure()\n",
" \n",
" xs = [v[0] for v in points]\n",
" ys = [v[1] for v in points]\n",
"\n",
" pylab.scatter(xs, ys, s=1, facecolor='0', lw = 0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_points(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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AgPnz52PcuHHPnN/OnTsRGxuLLl26YMOGDQgKCpLfKMyYMQPnzp2DTqeTO/QmJydz/H4i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\nwzAFnP8Dh+V7SJEOcncAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112150b90>"
]
}
],
"prompt_number": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"O Fractal no gr\u00e1fico plotado \u00e9 chamado de Tri\u00e2ngulo de Sierpinki. E, como voc\u00ea pode observar, ele mostra padr\u00f5es de recurs\u00e3o e auto-similaridade."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Outros exemplos\n",
"\n",
"Vamos mostrar agora outras poss\u00edveis defini\u00e7\u00f5es de $T$, e os diversos tipos de fractais gerados."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Samabaia"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T = compute_T([(1, numpy.array([[0, 0, 0], [0, .16, 0], [0, 0, 1]])),\n",
" (7, numpy.array([[.2, -.26, 0], [.23, .22, 1.6], [0, 0, 1]])),\n",
" (7, numpy.array([[-.15, .28, 0], [.26, .24, .44], [0, 0, 1]])),\n",
" (85, numpy.array([[.85, .04, 0], [-.04, .85, 1.6], [0, 0, 1]]))])\n",
"\n",
"plot_points(compose(T, 20, [numpy.array([0, 0, 1])]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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zzzBq1CisWbMGHTt2tDjzpYjA19cX9+7ds3oMIns8NjdhJiYmypQpU8TPz08U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pai9NJQWmB34cIF+Pv784L0SM0ElS1bFrNmzWKLwtq1ayfyPiEUrs/wrVu3omTJkgCMIbJnzZol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\nJyIiIiKyo/8Hfr9KuuB1ByAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1121f4e50>"
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### pentadentrite"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T = compute_T([(1/6., numpy.array([[.342, -.071, 0], [.071, .341, 0], [0, 0, 1]])),\n",
" (1/6., numpy.array([[.038, -.346, .341], [.346, .038, .071], [0, 0, 1]])),\n",
" (1/6., numpy.array([[.341, -.071, .379], [.071, .341, .418], [0, 0, 1]])),\n",
" (1/6., numpy.array([[-.234, .258, .71], [-.258, -.234, .489], [0, 0, 1]])),\n",
" (1/6., numpy.array([[.173, .302, .486], [-.302, .173, .231], [0, 0, 1]])),\n",
" (1/6., numpy.array([[.341, -.071, .659], [.071, .341, -.071], [0, 0, 1]]))])\n",
"\n",
"plot_points(compose(T, 15, [numpy.array([0, 0, 1])]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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5ycE+ANy+fVv+d05ODqysrMqiSUREFQoDfiKiZ8zMmTORmZkJALC2tsbevXvx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y8sJ27dqxbenp6UWqs8lkwqioKIyLi7O4hkCYXFxcsH379piRkYGIucK4T58+Iheef//9d7G1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\nEBomDb8QQgghhBAaJg2/EEIIIYQQGvY/oskerSwSGHgAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x11a393150>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Espiral"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T = compute_T([(.073, numpy.array([[.25, 0, 0], [0, .25, .5], [0, 0, 1]])),\n",
" (.927, numpy.array([[.823, -.475, .301], [.475, .823, -.172], [0, 0, 1]]))])\n",
"\n",
"plot_points(compose(T, 21, [numpy.array([0, 0, 1])]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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JfERuza6PCTsRuFCvD85M/T7Y+5+6izjdbZYkJCREeHt7i+LiYnseBqtp7seH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\njh0T6enpZpU9adIkIUmSWLRokVnLAxAKHw63oj7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Bv1RmCgX9hBBduh0VhIWFQaVS4d9/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\n/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"text": [
"<matplotlib.figure.Figure at 0x105e91490>"
]
}
],
"prompt_number": 14
}
],
"metadata": {}
}
]
}
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