Affine Regular Pentagon Sculptures

Year: 2006 Authors: Douglas G. Burkholder

Core claim

A carefully chosen symmetric linear construction from a non-planar pentagon always yields planar affine regular stellar pentagons, generalizing Jesse Douglas’s procedure.

Topics

symmetric linear construction, nested pentagons, stellar pentagon, computer-generated sculpture

Domains

affine geometry, polygon construction, weighted averages, golden ratio, sculpture, geometric art, computer-generated art

Methods

iterative point construction, midpoint construction, ratio division on line segments, symmetry-based averaging

Media

pentagon diagram, computer-generated sculptures

Source status

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