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Middle/High School - Grades 7-12
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P=Project E=Experiment
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Study the basic theory of combinatorial games using the game of Nim as an example
[P]
[P]
The Iterated Prisoner's Dilemma
[E]
The Impact of a Player's Starting Location in the Game "Risk"
[E]
Using the game Connect-Four to study artificial intelligence
[E]
Study the Josephus game and other Combinatorial games.
[P]
Devising an Algorithm for Solving Rubik's Cube
[E]
Figure out how to make patterns with Rubik's Cube.
[E]
Sudoku Solving Patterns
[E]
Test whether winning at Bingo is random.
[E]
Which Algorithm Is the Most Efficient in Solving Alexander's Star?
[E]
Writing a Rubik's Cube Solver using Mathematica
[E]
Write a JavaScript Sudoku Corrector program and test how quickly it works on Mozilla Firefox, Internet Explorer, PCs, and laptops.
[E]
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?
[E]
Devise an algorithm for solving Rubik's cube, using three sets of moves that each accomplish a specific function.
[E]
[E]
What's the Fastest Way to Solve Rubik's Cube?
[E]
[E]
The best property to buy in the game of Monopoly
[E]
[E]
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.
[E]
[E]
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?
[E]
[E]
An Efficient Strategy for Making a Choice from a Finite Stream of Offers
[E]
[E]
Which chess move in response to white's 1. e4 maximizes black's outcome?
[E]
[E]
Rubik's cube: Determine if a relationship exists between the order of a move sequence and the cube's average variegation (degree of disorder).
[E]
[E]
The Effects of Alpha-Beta Pruning on the Playing Strength of a Chess Playing Algorithm
[E]
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Useful Links
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R=Resource
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Science Fair Projects Resources
[R]
Mathematics Resources
[R]
Citation Guides, Style Manuals, Reference
[R]
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