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This is a project from the Math of Games course that I took at The Evergreen State College in the summer of 2005. The goal was to analyze the game of 2D Nim. From report.tex: Abstract -------- This paper is an investigation of 2-Dimensional Nim as it was proposed in Unsolved Problems in Combinatorial Games problem 46. A position in the game is a rectangular matrix of non-negative integers. At each move a player selects a row or column and subtracts any positive integer from any of the numbers in that row or column. Introduction ------------ I started my investigation of 2-Dimensional Nim by writing a program in C++ to find the values of different positions. Using the results of the program I came up with generalizations and attempted to prove them. What follows is my analysis of 2-Dimensional Nim and a description of my C++ program. See report.tex for more details