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Study the basic theory of combinatorial games using the game of Nim as an example
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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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Science Fair Projects Resources
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Mathematics Resources R Citation Guides, Style Manuals, Reference R |
