# 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)