Some New Tilings of the Sphere with Congruent Triangles

Year: 2005 Authors: Robert J. MacG. Dawson

Core claim

New classes of congruent spherical triangle tilings exist beyond earlier edge-to-edge classifications, including non-edge-to-edge examples with distinctive symmetry.

Topics

spherical tilings, congruent triangles, classification, symmetry

Domains

geometry, spherical geometry, tiling theory, polyhedra, visualization, pattern design, geometric art, architectural form

Methods

classification survey, vertex vectors, split vectors, spherical excess analysis

Media

spherical polygons, polyhedral models, POV-Ray illustrations, triangle and kite tiles

Source status

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