Hal's SSL Stuff
This page contains a lot of my work for Jim Propp's Spatial Systems Laboratory in Spring 2001, Fall 2003, and Spring 2004.
Spring 2001 SSL Projects and Documents
The Proof of the Baxter Permutation Conjecture
My paper, Aztec Diamonds and Baxter Permutations can be found on the ArXiv here: arXiv:math.CO/0309135. On 2004-03-02, I submitted it to the Electronic Journal of Combinatorics.
(Addendum: published as: Hal Canary. “Aztec Diamonds and Baxter Permutations.” The Electronic Journal of Combinatorics 17 (2010), #R105)
Toad Shufler Applet
TOAD Shuffler Applet v2.0 (HTM5/Canvas)
Toad Shufler Version 1.0 is from April 2001.
You may also download the source:
Gzipped-tar file or
Zip file.
Toad Shufler Version 1.1 is from September 2003.
You may also download the source:
Gzipped-tar file or
Zip file.
Toad Shufler Version 1.2 is from October 2003.
You may also download the source:
Gzipped-tar file or
Zip file.
Current Version: Toad Shufler Version 1.3 is from March 2004.
You may also download the source:
Gzipped-tar file or
Zip file.
Analysis of matching on a hexagonal grid
2003-2004 Mathapplets
Rotor Router Modle Applets
The final version of my Rotor Router Applet incorporates all of the precursor applets that went by the names: PI-Computer, Rotor-Router Version 0.x, Finite-Graph Applet, 2D-Aggregation Applet, 2d-Walk Applet, and Rotor-Graphs Applet. The precursors can be found here.
Current Version: Rotor Router Applet v1.0. This is the July 2004 version of the Applet.
Grove Shuffler
I haven't done much work with the grove system, but you can read about it in Carroll & Speyer's article "The Cube Recurrence" (arXiv:math.CO/0403417).
Kyle Petersen's Grove Shuffler Applet: Grove Shuffler v0.3. Version 0.3 was completed 2003-10-10. Looks Good. Source: tarball and zipfile. And here is Grove Shuffler v0.2 archived zipfile.
2003-2004 SSL Research
2003
Notes on Polynomial Solution Graphs for polynomials such as the Soddy or Markoff equations.
October, 2003: Notes on Apollonian Gaskets.
September 15, 2003: Thoughts on Snakes Counting.
Fall 2003 To Do List.
2004 Open Questions that Intrest Me
Multivariable Quadratics Solution Graphs
Sequences that are integers for no good reason.
Writeups
Newton's Method as a Formal Recurrance (non-commuting section) (tex & bib)
The Dana Scott Recurrance (tex)