Monday, January 4, 2016

Escher's "Circle Limit II" as a square

M.C. Escher's "Circle Limit 2" woodcut from 1959 reinterpreted as square.

This pattern is based on the Schlafli {8,3} tiling of the Poincare disk.

input: Escher's Circle Limit II


Schwarz-Christoffel mapping

elliptical grid mapping


FG-squircular mapping

Shirley-Chiu concentric map



Friday, January 1, 2016

Hilbert curve on a circular disk


The Hilbert space-filling curve was 1st described by David Hilbert in 1891.
Here, we try to fit it inside a circle

input: Hilbert space-filling curve
Schwarz-Christoffel mapping
elliptical grid mapping
FG-squircular mapping


Shirley-Chiu concentric map