Monday, August 13, 2018

Hyperbolic Stop Signs






tiling the hyperbolic plane with stop signs

Stop signs tiling the Poincare disk

Schwarz-Christoffel mapping to conformal square
FG-Squircular mapping
Elliptical Grid mapping
Tapered2 Squircular mapping

This pattern was used in my Bridges 2018 conference paper: "A Poor Man's Hyperbolic Square Mapping" coauthored with Douglas Dunham


presentation slides in



















Wednesday, November 30, 2016

Marcia Marcia Marcia!


Circularized Brady Bunch, Take 2.
Rest in Peace, Florence Henderson (1934-2016)

Square Brady Bunch


Schwarz-Christoffel mapping


FG-squircular mapping

elliptical grid mapping


Shirley-Chiu concentric map





Saturday, September 17, 2016

Jyvaskylan Yliopisto


The University of Jyvaskyla was the venue for the Bridges Math Conference 2016 where I presented the paper "The Conformal Hyperbolic Square and Its Ilk".


Universitas Jyvaskylaensis logo


Schwarz-Christoffel mapping
FG-squircular mapping


elliptical grid mapping


Shirley-Chiu concentric map





Wednesday, May 4, 2016

Escher's "Circle Limit I" as a square



The 1st of Escher's 4 Circle Limits converted to a square

Escher's Circle Limit I

Schwarz-Christoffel mapping


FG-Squircular mapping


Elliptical grid mapping


Shirley-Chiu concentric map












Saturday, February 6, 2016

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





Wednesday, February 3, 2016

Social Media Squares


actually, social media circles

input files: Social media squares

Schwarz-Christoffel mapping


FG-squircular mapping


elliptical grid mapping


Shirley-Chiu mapping





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