A199807 Sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

40, 120, 128, 192, 384, 600, 960, 960, 960, 1920, 2880, 3072, 4800, 4800, 7680, 14400, 14400, 15360, 23040, 23040, 36000, 46080, 72000, 115200, 115200, 115200, 288000, 576000, 864000, 921600, 1728000, 2764800, 4320000, 6912000, 13824000

Offset

1,1

Comments

Sorted 1st column of Table 2, p. 11, of Cunningham.

Links

Table of n, a(n) for n=1..35.

Gabe Cunningham, Mixing Convex Polytopes, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.

Example

a(1) = 40 because the mix of the pentatope {3,3,3} and the 16-cell hyperoctahedron {3,3,4} has 40 vertices, 480 edges, 1920 faces, 960 polyhedral facets, and an automorphism group of order 23040, and is itself polytopal (not every mix of polytope and polytope is a polytope).

Crossrefs

Cf. A063924, A199545, A199546, A199549, A199808-A199811.

Sequence in context: A261191 A260601 A234921 * A199810 A185762 A234914

Adjacent sequences: A199804 A199805 A199806 * A199808 A199809 A199810

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Nov 10 2011

Extensions

Ordering corrected by Andrei Zabolotskii, Oct 23 2025

Status

approved