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The Monkey Tree is a graphic substitution system rendering a maze
of self-similarity.
There is no user interaction.
The system begins with a shape generator, defined by a series of points
connected by lines. One by one, each line of the shape is replaced
with a copy of the generator, scaled and rotated so that it fits just
right. In turn, each of these news lines are also replaced until some
maximum substitution depth is reached (in this case, the generator
is substituted 6 times).
The resulting form is fractal in nature, often similar, but sometimes
wildly different than its shape generator.
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figure a.
changing just one point of the generator reveals new structure.
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This project is based in part on Benoit Mandelbrot's Monkey's Tree
discussed in the Fractal Geometry of Nature.
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jtarbell,
october 2003 |
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