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    Hypercube

    Combinatorial properties

    vertex count | 2^n
edge count | 2^(n - 1) n
face count | 2^(n - 3) (n - 1) n
cell count | 2 n
(assuming embedding dimension n)

    Properties

    content | s^n
hyper-surface area | 2 n s^(n - 1)
(assuming embedding dimension n and edge length s)

    Skeleton graph

    n-hypercube graph

    Dual polytope

    n-cross polytope (polytope in n-dimensional space)

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