A105232 Number of n-dimensional polytopes with vertices from {0,1}^n up to combinatorial equivalence.

1, 2, 8, 192, 1050136

Offset

1,2

Links

Table of n, a(n) for n=1..5.

Rafael Gillmann, 0/1-Polytopes: Typical and Extremal Properties, Doctoral Thesis, TU Berlin, 2007. See Table 1.1.

Andreas Paffenholz and the polymake team, polyDB. See Polytopes > Combinatorial Polytopes > 0/1 Polytopes by Oswin Aichholzer.

Chuanming Zong, What is known about unit cubes, Bull. Amer. Math. Soc., 42 (2005), 181-211.

Crossrefs

Cf. A105230, A105231.

Sequence in context: A234632 A070235 A057194 * A012539 A012535 A012300

Adjacent sequences: A105229 A105230 A105231 * A105233 A105234 A105235

Keyword

nonn,more,hard

Author

N. J. A. Sloane, Apr 16 2005

Extensions

a(4) corrected and a(5) added from polyDB by Andrey Zabolotskiy, Jan 17 2022

Status

approved