Circular Scrabble boards

Scrabble board converted to a circular disc

input: Scrabble board

Schwarz-Christoffel mapping

FG-squircular mapping

elliptical grid mapping

Shirley-Chiu concentric map

Social Media Squares

actually, social media circles

input files: Social media squares

Schwarz-Christoffel mapping

FG-squircular mapping

elliptical grid mapping

Shirley-Chiu mapping

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 to conformal square

elliptical grid mapping

FG-squircular mapping

Shirley-Chiu concentric map

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

Escher's "Square Limit" as a circle

M.C. Escher created the square limit woodcut in 1964.

input: Escher's "Square Limit" woodcut

Schwarz-Christoffel mapping

elliptical grid mapping

FG-squircular mapping

Shirley-Chiu concentric map

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

Square O'Clock

input file: Roman numeral clock

Schwarz-Christoffel mapping

elliptical grid mapping

FG-squircular mapping

Shirley-Chiu concentric map