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.

by Hal Canary

Mathapplets Page

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.

Toad Shufler Applet

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

hexagon.cpp


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.

SSL Photographs.

October, 2003: Notes on Apollonian Gaskets.

September 15, 2003: Thoughts on Snakes Counting.

Fall 2003 To Do List.

2004 Open Questions that Intrest Me

Newton's Recurrance

Multivariable Quadratics Solution Graphs

Sequences that are integers for no good reason.

Dionysian "Gasket"s

Writeups

Newton's Method as a Formal Recurrance (non-commuting section) (tex & bib)

The Dana Scott Recurrance (tex)

Newton's Recurrence (tex)


Random SSL-Related Images

Record of hours worked.