Imperfect Congruence: Tiling with Regular Polygons and Rhombs

Year: 2013 Authors: Kevin Jardine

Core claim

Any vertex figure made from regular polygons and rational rhombs appears to admit a periodic tiling, with illustrative constructions via rhombic fans, rhombic triangles, and rhombic stars.

Topics

plane tilings, vertex figures, rational rhombs, periodic tilings

Domains

geometry, combinatorial tilings, polygon decomposition, pattern design, geometric ornament, visual composition

Methods

vertex-figure classification, constructive tiling, polygon decomposition

Media

regular polygons, rhombs, plane tilings

Source status

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