NEC Polygonal Groups and Tessellations

Year: 2003 Authors: Domingo Gámez; Miguel Pasadas; Rafael Pérez; Ceferino Ruiz

Core claim

Polygonal NEC groups provide a concrete group-theoretic framework for tessellating the hyperbolic plane, with visible connections to M.C. Escher’s mosaics.

Topics

hyperbolic tessellations, NEC groups, fundamental regions, Escher mosaics

Domains

hyperbolic geometry, group actions, crystallographic groups, polygonal groups, mosaic design, geometric art, mathematical visualization, Escher-inspired imagery

Methods

group-theoretic classification, fundamental domain construction, Poincaré disc model, Mathematica-based plotting

Media

Hyperbol software, Mathematica, quadrilateral tessellations, woodcut reference

Source status

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