The Elevation of Coxeter’s Infinite Regular Polyhedron 444444

Year: 2016 Authors: Rinus Roelofs

Core claim

Elevation can be generalized from classical polyhedra to square-based infinite structures, producing entwined double-layer compounds with knot-like vertex behavior.

Topics

polyhedral elevation, double-layer structures, knot-like loops, infinite polyhedra

Domains

polyhedra, vertex figures, regular tilings, combinatorial geometry, sculpture, geometric art, mathematical visualization, constructive design

Methods

geometric analysis, vertex-loop tracing, comparative polyhedral study, conceptual model construction

Media

paper models, triangular pyramids, square faces, figural diagrams

Source status

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