Final Projects for Math 640: EXPERIMENTAL MATHEMATICS, Spring 2013

First posted: May 7, 2013

Last Update: May 7, 2013

Note: Students are welcome to continue these projects. Many of these are, so far, first drafts.

• Jake Baron's Proposal to study the triangle-free process.
  Jake Baron's Project

• Philip Benjamin's proposal to study Abstract Solitaire Games .
  Phil Benjamin Project Directory to study the Shepp Urn (contains several files)

• Ross Berkowitz's proposal to study the Shepp Urn .
  Ross Berkowitz's Project
  Here is the writeup .

• Patrick Devlin's proposal to study randomly chosen determinstic games (as in class 6), but so far there is only his bearoff program
  Patrick Devlin's Preliminary Project

• Nathan Fox is studying counter games, see his expanding webpage.

• Tim Naumovitz used Maple to refute a conjecture of his advisor, Prof. Mike Saks
  Tim Naumovitz's Project (Maple worksheet, requires Maple)

• Joey Reichert and Vaibhav Verma's proposal to study Tic-Tac-Toe and variants.
  Joey Reichert and Vaibhav Verma's project

• Matthew Russell created a challenging and entertaining Magic Order Puzzle webbook

• Nathaniel Shar's proposed to develop a toolbox for automatic construction of bijective proofs to combinatorial identities
  Nathaniel Shar's progress report

• Thomas Tyrrell's proposal to study some diophantine questions.
  Thomas Tyrrell's Sage Project

• Tomas Vyskocil wrote a SAGE program that tells you how to play Backgammon optimally, for a general board with b points and house-size h, and any arrangement of pieces. (For the usual one, b=24, h=6).
  Tomas Vyskocil's Sage Project

• Alex Weiner Studied analogs of the centepede game
  Alex's plan: "For my project, I would like to make a model of the quasi-centipede game as discussed in the paper "The Evolution of Cooperation in the Centipede Game with Finite Populations" by Rory Smead. It is a variation on the centipede game where both player make the decision simultaneously."
  Alex Weiner's Project