dc.contributor.author	Richards, Matthew
dc.contributor.committeeMember	Fraser, Melanie
dc.date.accessioned	2021-04-08T19:56:51Z
dc.date.available	2021-04-08T19:56:51Z
dc.date.issued	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.description.bibliographicCitation	Richards, M. (2021). Instant insanity: Uniqueness and existence of solutions. Retrieved from http://academicarchive.snhu.edu	en_US
dc.digSpecs	PDF/A-2b	en_US
dc.identifier.uri	https://hdl.handle.net/10474/3621
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.rightsHolder	Richards, Matthew
dc.title	Instant insanity: Uniqueness and existence of solutions	en_US
dc.type	Presentation	en_US

Instant insanity: Uniqueness and existence of solutions

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