1,1

U. Kortenkamp, J. Richter-Gebert, Aravamuthan Sarangarajan and G. M. Ziegler, Extremal properties of 0/1-polytopes, Discrete and Computational Geometry 17 (issue 4) (1997), 439-448.

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

Gunter M. Ziegler, Lectures on Polytopes, Revised First Edn., Graduate Texts in Mathematics, Springer, 1994, p. 26.

Author?, Frequently Asked Questions in Polyhedral Computation

Author?, POLYMAKE

Author?, Current records [link is broken]

G. Ziegler, [math/9909177] Lectures on 0/1-polytopes

Asymptotically, the best-known bounds are (3.6)^n < a(n) =< (6.4 n!)/(n^1/2) for all sufficiently large n. The parameter 3.6 was determined in March 1997 by Thomas Christhof for a random 0/1-polytope of dimension 13, with 254 vertices, and at least 17464356 facets. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Jul 13 2005

Sequence in context: A002876 A095236 A018536 this_sequence A133408 A018575 A013116

Adjacent sequences: A028494 A028495 A028496 this_sequence A028498 A028499 A028500

nonn,hard,nice

Ulrich Kortenkamp (kortenka(AT)inf.fu-berlin.de), Oswin Aichholzer (oaich(AT)igi.tu-graz.ac.at)