2006-11-07
One way to guarantee self-similarity is to build a shape by applying the same process over smaller and smaller scales. This idea can be realized with a process called initiators and generators.
The initiator is the starting shape.
The generator is a collection of scaled copies of the initiator.
The rule is this: in the generator, replace each copy of the initiator with a scaled copy of the generator (specifying orientations where necessary).
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Here is the initiator of a binary fractal tree. The generator is a copy of the initiator with two smaller branches growing symmetrically from the top.
Changing the branching angle (and the branch scaling so the branches overlap only on their tips), gives a sequence of fractal trees, including a few familiar shapes.
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Book bought:
-ดลใจภุมริน--รงค์ วงษ์สวรรค์
Book read:
-Anything--Edited by Cynthia C. Davidson
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