Mathematics – Combinatorics
Scientific paper
2009-06-23
Mathematics
Combinatorics
17 pages, 12 figures
Scientific paper
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.
Gordon Gary
McMahon Elizabeth
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