Concave Hexagons

Year: 2009 Authors: Paul Gailiunas

Core claim

Pairs of rhombi from dual tilings can form regular concave hexagons that generate new spherical, Euclidean, spiral, and hyperbolic tilings.

Topics

tilings, concave hexagons, spherical geometry, Escher-like design

Domains

tessellations, polyhedra, dual tilings, hyperbolic geometry, decorative design, pattern design, M.C. Escher, geometric art

Methods

dual tiling construction, edge-deformation, ring-based arrangement, manual triangle coloring

Media

rhombi, concave hexagonal tiles, colored polyhedra, triacontahedron

Source status

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