This pattern is based on the Schlafli {8,3} tiling of the Poincare disk.
 |
| input: Escher's Circle Limit II |
 |
| Schwarz-Christoffel mapping to conformal square |
 |
| elliptical grid mapping |
 |
| FG-squircular mapping |
 |
| Shirley-Chiu concentric map |
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.
This pattern is based on the Schlafli {8,3} tiling of the Poincare disk.
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 |