Playing with the Platonics: a new class of polyhedra

Year: 2012 Authors: Walt van Ballegooijen

Core claim

By slightly modifying faces of Platonic solids, one can generate an infinite class of polyhedra, including loopable examples and structures that extend to Archimedean solids.

Topics

polyhedra construction, toroidal loops, 3D lattices, Archimedean solids

Domains

geometry, polyhedra, graph-like connectivity, symmetry, sculpture, architecture, generative form, visual design

Methods

face scaling, face rotation, convex hull, configuration analysis

Media

Grasshopper, 3D models, animations, polyhedra nets

Source status

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