%0 Journal Article
%T Moving faces to other places: Facet derangements
%A Gary Gordon
%A Elizabeth McMahon
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0906.4253v1