Moving faces to other places: Facet derangements

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Abstract
  • Derangements are a popular topic in combinatorics classes. We study a generalization to face derangements of the n-dimensional hypercube. These derangements can be classified as odd or even, depending on whether the underlying isometry is direct or indirect, providing a link to abstract algebra. We emphasize the interplay between the geometry, algebra, and combinatorics of these sequences, with lots of pretty pictures.
TitleMoving faces to other places: Facet derangements
CreatorMcMahon, Elizabeth
Gordon, Gary
PublisherAmerican Mathematical Monthly
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedDecember 2010
Date Available2012-01-24T21:14:23Z
TypeArticle
LanguageEnglish
Bibliographic CitationGordon, G. and E. McMahon (2010) "Moving faces to other places: Facet derangements." American Mathematical Monthly 117 (10): 865-880.
Standard IdentifierDOI 10.4169/000298910X523353
Handle 10385/894
Permalinkhttp://hdl.handle.net/10385/894
Rights Statement In Copyright In Copyright
Rights HoldersThe Mathematical Association of America
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