Visualizing Affine Regular, Area-Preserving Decompositions of Irregular 3D Pentagons and Heptagons

Year: 2014 Authors: Douglas G. Burkholder

Core claim

Irregular 3D pentagons and heptagons admit visual affine regular decompositions that preserve area under projection.

Topics

affine regular polygons, area-preserving decomposition, 3D sculpture visualization, signed area

Domains

geometry, polygon theory, linear combinations, cross product, sculpture, visualization, geometric art

Methods

weighted vertex transforms, projection analysis, geometric proof, computer-generated models

Media

3D sculptures, wire connections, figures

Source status

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