Nonplanar Expansions of Polyhedral Edges in Platonic and Archimedean Solids

Year: 2015 Authors: David A. Reimann

Core claim

Edge-to-square replacement yields a broadly generalizable polyhedral transformation whose resulting surfaces are nonplanar and may require bumps or craters to fit added material.

Topics

polyhedral expansion, nonplanar surfaces, symmetry, paper models

Domains

polyhedra, topology, geometry, genus, paper folding, sculptural design, kinetic form, generative art

Methods

geometric transformation, physical prototyping, paper construction, comparative modeling

Media

paper squares, business cards, annulus segments, packaged condoms

Source status

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