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A105231
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Number of n-dimensional polytopes with vertices from {0,1}^n up to (0,1)-equivalence.
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3
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OFFSET
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1,2
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COMMENTS
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a(6) = 400507800465455 is obtained as the sum of the number of 6-dimensional polytopes with up to 12 vertices, 94826705, given in the footnote in p. 119 of Aichholzer (2000), and the counts for k > 12 vertices F_6(k) given in tables 3, 6 and 7 of Chen & Guo (2014). Chen & Guo have typos: F_5(29) in table 2 should be 10 and F_5(16) in table 5 should be 169110 (cf. polyDB or Aichholzer's table 2). - Andrey Zabolotskiy, Jun 20 2023
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LINKS
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Andreas Paffenholz and the polymake team, polyDB. See Polytopes > Geometric Polytopes > 0/1 Polytopes by Oswin Aichholzer.
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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