Polyhedral Cages: An Aesthetic Generalisation Of Regular Solids

Year: 2024 Authors: Bernard Piette; Árpad Lukács

Core claim

Symmetric polyhedral cages generalize regular solids while producing aesthetically compelling ring-like or spherical forms suitable for design applications.

Topics

polyhedral cages, symmetric geometry, near-miss solids, aesthetic design

Domains

polyhedral geometry, planar graphs, symmetry groups, architecture, craft works, jewellery

Methods

symmetry constraints, geometric construction, deformation measures

Media

regular polygons, nearly regular polygons, 3d-printed sculpture

Source status

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