MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Robert A. Beeler
Robert Gardner, Debra Knisley, Rick Norwood
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 a 5 x 4 puzzle, respectively. We consider the possibilities when we delete a color to make the game a 3 × 3 puzzle and when we add a color, making the game a 5 × 5 puzzle. Finally, we determine if solution two is a permutation of solution one.
Thesis - Open Access
Justus, Amanda N., "Permutation Groups and Puzzle Tile Configurations of Instant Insanity II" (2014). Electronic Theses and Dissertations. Paper 2337. https://dc.etsu.edu/etd/2337
Copyright by the authors.