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Instant insanity: Uniqueness and existence of solutions

Show simple item record Richards, Matthew 2021-04-08T19:56:51Z 2021-04-08T19:56:51Z 2021-04-07
dc.description.abstract This mathematics research project will probe into the game Instant Insanity, a classic puzzle which involves stacking four cubes whose faces are covered in four colors. This research will attempt to answer four questions: how to solve one specific puzzle layout, how to generalize a solution method that solves other layouts to the puzzle, which conditions lead to the existence or non-existence of a puzzle solution for a layout, and which conditions lead to the uniqueness or non-uniqueness of a puzzle solution for a layout. Research methods include the use of directed graphs, combinatorial objects such as necklaces, multi-sets for categorizing solutions, and the probabilistic analysis of data. This project will illustrate important mathematical concepts such as equivalence classes and pigeonhole principle. It will also offer insights into what makes a puzzle challenging. (Author abstract) en_US
dc.language.iso en_US en_US
dc.publisher Southern New Hampshire University en_US
dc.relation.requires Adobe Acrobat Reader en_US
dc.rights Author retains all ownership rights. Further reproduction in violation of copyright is prohibited en_US
dc.title Instant insanity: Uniqueness and existence of solutions en_US
dc.type Presentation en_US
dc.contributor.committeeMember Fraser, Melanie
dc.description.bibliographicCitation Richards, M. (2021). Instant insanity: Uniqueness and existence of solutions. Retrieved from en_US
dc.digSpecs PDF/A-2b en_US
dc.rightsHolder Richards, Matthew

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