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  • Middle/High School - Grades 7-12
    R=Reference/Experiment   S=Sample Project
    Study the basic theory of combinatorial games using the game of Nim as an example S
    The Iterated Prisoner's Dilemma R
    The Impact of a Player's Starting Location in the Game "Risk" R
    Using the game Connect-Four to study artificial intelligence R
    Study the Josephus game and other Combinatorial games. S
    Devising an Algorithm for Solving Rubik's Cube R
    Figure out how to make patterns with Rubik's Cube. R
    Sudoku Solving Patterns R
    Test whether winning at Bingo is random. R
    Which Algorithm Is the Most Efficient in Solving Alexander's Star? R
    Writing a Rubik's Cube Solver using Mathematica R
    Write a JavaScript Sudoku Corrector program and test how quickly it works on Mozilla Firefox, Internet Explorer, PCs, and laptops. R
    Use ratios and other various mathematical formulae to attempt to find a pattern in the Banker's offers in the game show "Deal or No Deal", and if a pattern was found, could I use it to try and determine whether or not the Banker knows what's inside the case? R
    Devise an algorithm for solving Rubik's cube, using three sets of moves that each accomplish a specific function. R R
    What's the Fastest Way to Solve Rubik's Cube? R R
    The best property to buy in the game of Monopoly R R
    See if the gaming theory invented by John von Neumann and Oskar Morgenstern help to improve your chances when you are involved in a gambling game as apposed to using more traditional factors such as luck, hunches, or counting cards. R R
    Determine whether, in a two-player zero-sum contest, a player would choose a seemingly more powerful strategy, or select a less obvious strategy, recommended by game theory, in an attempt to outwit an opponent. And which strategy would prove more fruitful? R R
    An Efficient Strategy for Making a Choice from a Finite Stream of Offers R R
    Which chess move in response to white's 1. e4 maximizes black's outcome? R R
    Rubik's cube: Determine if a relationship exists between the order of a move sequence and the cube's average variegation (degree of disorder). R R
    The Effects of Alpha-Beta Pruning on the Playing Strength of a Chess Playing Algorithm R
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