Iterative Arrangements of Polyhedra – Relationships to Classical Fractals and Haüy Constructions

Year: 2013 Authors: Robert W. Fathauer

Core claim

Iterative polyhedral placement on faces yields fractal or regular convex-hull patterns, with 1/2 and the square of the Golden mean emerging as special scaling factors.

Topics

iterative polyhedra, classical fractals, Haüy constructions, convex hulls

Domains

geometry, fractals, polyhedra, solid geometry, mathematical art, geometric visualization, generative design

Methods

iterative construction, scale factor analysis, convex hull comparison, Mathematica rendering

Media

polyhedra, prisms, Mathematica-generated figures, paper illustrations

Source status

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