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Geometry of Self-Contacting Binary Fractal Trees

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Author:Michael Frame; Union College, Schenectady, NY
Description: Animations illustrating the constructions of binary fractal trees, with branch scaling chosen so some points of the left and right branches intersect, but only at the branch tips. The animations show how the geometry of the tree, and of the branch tips, changes as the branching angle increases. Definitions, self-contacting scaling, animations, references.

Levels: College
Languages: English
Resource Types: Graphics, Web Interactive/Java
Math Topics: Fractals

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