Thursday, December 31, 2015

Coxeter {6,4} tiling of the Poincare disk

H.S.M. Coxeter published a checkered {6,4} hyperbolic tiling of the Poincare disk in his 1957 paper: "Crystal Symmetry and Its Generalizations".

Here, we convert the conformal hyperbolic disk to hyperbolic squares.

input: Coxeter {6,4} tiling of Poincare disk

Schwarz-Christoffel mapping

elliptical grid mapping

FG-squircular mapping

Shirley-Chiu concentric map

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