http://code.activestate.com/recipes/tags/fractal-graphics/2016-03-16T08:56:08-07:00ActiveState Code Recipes2016-03-16T08:56:08-07:00Jorj X. McKiehttp://code.activestate.com/recipes/users/4193772/http://code.activestate.com/recipes/580624-create-sierpinski-carpet-fractal-fast/

<p style="color: grey"> Python recipe 580624 by <a href="/recipes/users/4193772/">Jorj X. McKie</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/sierpinski/">sierpinski</a>). </p> <p>Create a Sierpinski carpet using MuPDF's graphics library fitz (binding PyMuPDF) at high speed.</p>

2016-02-20T10:41:24-08:00Paulo Cavalcantihttp://code.activestate.com/recipes/users/4189949/http://code.activestate.com/recipes/580614-sierpinski-gasket/

<p style="color: grey"> Python recipe 580614 by <a href="/recipes/users/4189949/">Paulo Cavalcanti</a> (<a href="/recipes/tags/fractal/">fractal</a>). </p> <p>Creates a Sierpinski Gasket, by recursively partitioning an initial triangle (a,b,c) into three or four new triangles.</p>

2015-01-17T19:21:47-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/579006-mandelbrot-fractal-image-output-to-ppm-file/

<p style="color: grey"> Python recipe 579006 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/image/">image</a>, <a href="/recipes/tags/images/">images</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>It creates image output without using any external library.</p> <p>PPM image files can be viewed and converted to other image file formats using many applications, GIMP or IrfanView for example.</p>

2013-10-30T03:53:31-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578765-circle-inversion-fractals/

<p style="color: grey"> Python recipe 578765 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Circle Inversion Fractals (Apollonian Gasket)</p>

2013-09-29T05:35:20-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578658-random-spiral-fractals/

<p style="color: grey"> Python recipe 578658 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). Revision 2. </p> <p>This based on another of my posted codes, titled "Spiral IFS Fractals".</p>

2013-09-23T03:18:02-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578670-hofstadter-butterfly-fractal/

<p style="color: grey"> Python recipe 578670 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/physics/">physics</a>). Revision 2. </p> <p>Hofstadter Butterfly Fractal</p>

2013-07-21T08:03:39-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578616-riemann-zeta-function-graph/

<p style="color: grey"> Python recipe 578616 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Riemann Zeta Function Graph</p>

2013-05-27T00:13:09-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578533-gravner-griffeath-snowflake-simulation/

<p style="color: grey"> Python recipe 578533 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/physics/">physics</a>, <a href="/recipes/tags/simulation/">simulation</a>). Revision 2. </p> <p>Gravner-Griffeath snowflake simulation.</p> <p>For better results increase the image size and number of growth steps and prepare to wait!</p>

2013-01-14T02:07:47-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578415-true-color-mandelbrot-fractal/

<p style="color: grey"> Python recipe 578415 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>, <a href="/recipes/tags/pil/">pil</a>). Revision 2. </p> <p>True-color Mandelbrot Fractal. It uses |x|, |y|, |z|, |angle(z)| values of the final iteration point for coloring.</p>

2013-01-19T00:27:29-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578426-logistic-map-fractal/

<p style="color: grey"> Python recipe 578426 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Logistic Map Fractal.</p> <p><a href="http://en.wikipedia.org/wiki/Logistic_map" rel="nofollow">http://en.wikipedia.org/wiki/Logistic_map</a></p>

2012-07-08T00:10:25-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578198-mandelbulb-fractal/

<p style="color: grey"> Python recipe 578198 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>It draws a random 2D cross-section of Mandelbulb fractal.</p>

2012-02-01T02:49:09-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578029-generalized-apollonian-gasket-fractal/

<p style="color: grey"> Python recipe 578029 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>It draws Apollonian Gasket Fractal for any n using Descartes theorem.</p> <p>This is not the standard way though. It simply randomly finds 3 tangent circles at each iteration and tries to add new circles. The good thing is it can start w/ any arbitrary configuration of main circles, unlike the standard way. The bad thing is some circles will stay missing because of random selections they never get a chance. You can increase the maxIt to get better result but it would slow it down a lot.</p>

2012-02-12T04:09:43-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578037-ifs-fractal-dimension-calculation-using-box-counti/

<p style="color: grey"> Python recipe 578037 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>IFS fractal dimension calculation using box-counting method.</p>

2012-01-14T22:02:10-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578016-apollonian-gasket-fractal-using-ifs/

<p style="color: grey"> Python recipe 578016 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>It draws the central region of Apollonian Gasket fractal using IFS description. </p>

2012-03-11T21:50:31-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578069-ifs-fractals-using-automatic-probability-distribut/

<p style="color: grey"> Python recipe 578069 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>To draw an IFS fractal probabilities of each transformation must be given normally. This code calculates the probabilities using a heuristic instead. The bounding rectangle of the fractal also calculated automatically. </p>

2012-02-19T00:17:07-08:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/578048-ifs-fractal-dimension-calculation/

<p style="color: grey"> Python recipe 578048 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>I found this equation in Wikipedia page for "List of fractals by Hausdorff dimension". The problem is how to calculate the scaling coefficients for any given IFS fractal. You can see the heuristic I used in the code. It gave correct values for all the fractals listed except for Centipede it gave 2.27. <br /> I do not know its correct fractal dimension to compare though.</p>

2012-02-23T21:57:16-08:00James Coliinshttp://code.activestate.com/recipes/users/4167379/http://code.activestate.com/recipes/578051-fractal-painter/

<p style="color: grey"> Python recipe 578051 by <a href="/recipes/users/4167379/">James Coliins</a> (<a href="/recipes/tags/al/">al</a>, <a href="/recipes/tags/art/">art</a>, <a href="/recipes/tags/fractal/">fractal</a>). </p> <p>Paints a picture in the abstract style. </p>

2012-02-17T04:07:45-08:00James Coliinshttp://code.activestate.com/recipes/users/4167379/http://code.activestate.com/recipes/578044-fractal-painter/

<p style="color: grey"> Python recipe 578044 by <a href="/recipes/users/4167379/">James Coliins</a> (<a href="/recipes/tags/art/">art</a>, <a href="/recipes/tags/fractal/">fractal</a>). </p> <p>Creates a semi random image, similar to a Jackson Pollock or Monet painting.</p>

2011-10-24T02:55:08-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577917-tetration-fractal/

<p style="color: grey"> Python recipe 577917 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). </p> <p>Tetration Fractal.</p>

2013-04-29T14:35:53-07:00FB36http://code.activestate.com/recipes/users/4172570/http://code.activestate.com/recipes/577866-complex-polynomial-roots-fractal/

<p style="color: grey"> Python recipe 577866 by <a href="/recipes/users/4172570/">FB36</a> (<a href="/recipes/tags/chaos/">chaos</a>, <a href="/recipes/tags/fractal/">fractal</a>, <a href="/recipes/tags/math/">math</a>, <a href="/recipes/tags/mathematics/">mathematics</a>). Revision 2. </p> <p>The code generates complex polynomials that has random real coefficients; each +1 or -1. Later it plots the roots.</p> <p>Warning: The calculation may take 15 minutes or so!</p>