Squircles

the square, the circle, and everything in between

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

http://archive.bridgesmathart.org/2018/bridges2018-59.html

presentation slides in
https://www.slideshare.net/chamb3rlain/a-poor-mans-hyperbolic-square-mapping



















Posted by Chamberlain at 11:39 PM No comments:
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relevant links

  • "Analytical Methods for Squaring the Disc" (paper)
  • "Analytical Methods for Squaring the Disc" (presentation slides)
  • "Elliptification of Rectangular Imagery" (paper)
  • "The Conformal Hyperbolic Square and Its Ilk" (paper)
  • "The Conformal Hyperbolic Square and Its Ilk" (presentation)
  • "Squircular Calculations" (paper)

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