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

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".

The presentation slides are available here: http://www.slideshare.net/chamb3rlain/the-conformal-hyperbolic-square-and-its-ilk

You can download the paper here: http://archive.bridgesmathart.org/2016/bridges2016-179.html

Universitas Jyvaskylaensis logo

Schwarz-Christoffel mapping

FG-squircular mapping

elliptical grid mapping

Shirley-Chiu concentric map

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 to the conformal square

FG-Squircular mapping

Elliptical grid mapping

Shirley-Chiu concentric map

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