Regular Arrangements of Platonic Solids

Year: 2024 Authors: Jouko Koskinen; Severi Virolainen

Core claim

Platonic solids can be combined in regular face, edge, or vertex joins to form chains, rings, and infinite 3D arrangements.

Topics

Platonic solids, regular polyhedral arrangements, chains and rings, infinite structures, 3D assemblies

Domains

geometry, polyhedra, symmetry, combinatorics, art, design, architecture, sculpture

Methods

case-by-case analysis, geometric classification, structural examples, comparative references

Media

wooden blocks, 3D prints, concrete, fiberglass, steel

Source status

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