Monday, January 28, 2019

Hyperbolization on a Squircular Continuum


These videos accompany the paper: "Hyperbolization on a Squircular Continuum".

For best results, please watch these videos in full screen mode.




Thursday, January 3, 2019

List of Publications

Publications by Chamberlain Fong

Book Chapter

 B. Sriraman (editor), "Handbook of the Mathematics of the Arts and Sciences", Springer, 2021
 My chapter to appear is titled "Homeomorphisms between the Circular Disc and the Square"
  (please see URL attached with application supporting materials to download a draft PDF of this chapter)


Conference Papers

C. Fong and D. Dunham (2018) "A Poor Man's Hyperbolic Square Mapping", Bridges Conference Proceedings, Stockholm Sweden
http://archive.bridgesmathart.org/2018/bridges2018-59.html
https://www.youtube.com/watch?v=JYHA2e4j764

C. Fong (2016) "The Conformal Hyperbolic Square and Its Ilk", Bridges Conference Proceedings, Jyvaskyla Finland
http://archive.bridgesmathart.org/2016/bridges2016-179.html

C. Fong (2014) "An Indoor Alternative to Stereographic Spherical Panoramas", Bridges Conference Proceedings, Seoul South Korea
http://archive.bridgesmathart.org/2014/bridges2014-103.html

N.B. Zafar, C. Fong et.al. (2004) "DD::Fluid::Solver::SolverFire", SIGGRAPH sketches, Los Angeles CA

D. Maskit and C. Fong (2003) "Production-Grade Scene Translation Pipelines", SIGGRAPH sketches, San Diego CA


J. Eker, C. Fong, et.al. (2001) "Design and Simulation of Heterogeneous Control Systems using Ptolemy II", IFAC Conference on New Technologies for Computer Control


Conference Presentations

C. Fong (2019) "Elliptification of Rectangular Imagery", Joint Mathematics Meetings, Baltimore Maryland

C. Fong (2018) "Squircular Calculations", Joint Mathematics Meetings, San Diego California

C. Fong and B. Vogel (2011) "Warping Peirce Quincuncial Panoramas", International Congress on Industrial and Applied Mathematics, Vancouver Canada
https://arxiv.org/abs/1011.3189


Conference Posters

C. Fong (2014) "Analytical Methods for Squaring the Disc", International Congress of Mathematicians, Seoul South Korea
https://arxiv.org/abs/1509.06344


C. Fong and M. Walters (2011) "Methods for Accelerating Conway's Doomsday Algorithm" International Congress on Industrial and Applied Mathematics, Vancouver Canada
https://arxiv.org/abs/1006.3913
https://arxiv.org/abs/1010.0765

B. Vogel and C. Fong (2011) "A Modular Extension of Nonnegative Matrix Factorization for Modeling Sequential Data", International Congress on Industrial and Applied Mathematics, Vancouver Canada


Magazine Articles

C. Fong (2011) "What Day is Doomsday? How to Mentally Calculate the Day of the Week for Any Date", Scientific American
https://www.scientificamerican.com/article/calendar-algorithm/

C. Fong (2005) "Constructing a side-scrolling LED stock ticker controlled by a repurposed Gameboy ", Nuts & Volts magazine, March 2005


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 to the conformal square


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