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Encyclopedia of Combinatorial Polytope Sequences



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Demihypercube

(4, 0, 0, 0)

• Demihypercubes; [wiki]
n-demicubes, n-hemicubes
• convex_hull({alternating vertices of n-cube})
• Dimensions:
1, 3, 4, ... n
• Numbers of vertices in nth polytope:
2, 4, 8, 16 ... 2^n [ OEIS A000079]
• Numbers of facets in dimension n
2, 4, 16, 26, 44, 78,... 2^(n-1)+2n [ OEIS ?]
• f-vectors:
1, 2, 1, 4, 6, 4, 1, 8, 24, 32, 16, 1, 16, 80,... [ OEIS ?]
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