SAGE: Expository

Expository

Survey talks on GUAVA and SAGE at the GAP conference in Braunschweig. More conference stuff (photos and other talks).
(with Ann (Luers) Casey Kittens, S(5,6,12), and Mathematical blackjack in SAGE. This is an exposition of some ideas of Conway, Curtis, and Ryba on the Steiner system S(5,6,12) and a card game called mathematical blackjack. An implementation in SAGE is described as well. To execute the commands illustrated in this paper, you must download hexad.sage.
Some (expository/survey) talks/articles on coding theory.
Expository paper (pdf) on group homology and cohomology using SAGE, presented in a fairly simple and self-contained manner, to appear in Aspects of Infinite Groups (papers in honor of Tony Gaglione's 60-th birthday, to be published by World Scientific). SAGE and HAP examples are included. A longer version (with an index) of essentially the same paper is here.
Rubik's cube positions:
- The "superflip plus 4 spot" is a famous position discovered by Michael Reid which is the longest move in the quarter turn metric known (26 moves) from "start":
```
U^2*F*U^2*L*R^(-1)*F^2*U*F^3*B^3*R*L*U^2*R*D^3*U*L^3*R*D*R^3*L^3*D^2
```
  Here is a 3d view and a 2d view, both made using SAGE.
- The "superflip" is an interesting position since it is the unique position which, as a group element, is non-trivial yet belongs to the center of the group. It is only 24 turns in the quarter turn metric from start (not using the move given below) but is 20 moves from "start" in the face-turn metric, which is the farthest known distance from "start":
```
R*L*D^2*B^3*L^2*F^2*R^2*U^3*D*R^3*D^2*F^3*B^3*D^3*F^2*D^3*R^2*U^3*F^2*D^3
```
  Here is a 3d view and a 2d view, both made using SAGE.
(with David Kohel) Group theory in SAGE. Currently, SAGE has the ability to deal with abelian groups, permutation groups, and matrix groups over a finite field. This paper will present an overview of the implementations of the group-theoretical algorithms in SAGE, with some examples. We conclude with some possible future directions.
Short survey on copyright law for the working mathematician.
Jose Unpingco's SAGE videos.

David Joyner Last updated: 4-22-2008