# 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.