Duality: Connected Structures

Year: 2025 Authors: Rinus Roelofs

Core claim

Extruding one dual form into slot-connected parts yields stable, easy-to-assemble sculptures for Platonic solids and some Archimedean tilings.

Topics

duality, polyhedral construction, Archimedean tilings, mathematical sculpture

Domains

polyhedra, duality, tilings, Platonic solids, sculpture, generative form, paper construction, M.C. Escher

Methods

dual-extrude construction, slot assembly, rotate-stretch transformation, metamorphosis sequence

Media

prints, paper models, metal sculpture, triangular tiles

Source status

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