Symmetric Binary Trees with Branching Ratios Larger than 1
Year: 2017 Authors: Nick Mendler; Vincent J. Matsko
Core claim
Trees with branching ratio greater than 1 have canopies exactly corresponding to reciprocal-ratio trees under the paper’s scaling and symmetry construction.
Topics
fractal binary trees, duality of canopies, digital artwork, regular polygon growth
Domains
fractal geometry, recursion, symmetry, geometric scaling, digital art, generative art, visual design, symmetry-based composition
Methods
recursive tree generation, geometric proof, scaled rendering, visual comparison
Media
digital images, binary tree diagrams, polygon-based compositions
Source status
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