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Physical Sciences and Mathematics Commons

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Mathematics

Electronic Theses and Dissertations

2014

Combinatorics

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Full-Text Articles in Physical Sciences and Mathematics

Permutation Groups And Puzzle Tile Configurations Of Instant Insanity Ii, Amanda N. Justus May 2014

Permutation Groups And Puzzle Tile Configurations Of Instant Insanity Ii, Amanda N. Justus

Electronic Theses and Dissertations

The manufacturer claims that there is only one solution to the puzzle Instant Insanity II. However, a recent paper shows that there are two solutions. Our goal is to find ways in which we only have one solution. We examine the permutation groups of the puzzle and use modern algebra to attempt to fix the puzzle. First, we find the permutation group for the case when there is only one empty slot at the top. We then examine the scenario when we add an extra column or an extra row to make the game a 4 × 5 puzzle or …