Moving faces to other places: Facet derangements
Combinatorics
2009-06-24 v1 Group Theory
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.
Cite
@article{arxiv.0906.4253,
title = {Moving faces to other places: Facet derangements},
author = {Gary Gordon and Elizabeth McMahon},
journal= {arXiv preprint arXiv:0906.4253},
year = {2009}
}
Comments
17 pages, 12 figures