A199808 Sorted number of edges of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

480, 1536, 1920, 4608, 5760, 14400, 18432, 34560, 46080, 57600, 72000, 92160, 138240, 230400, 276480, 691200, 691200, 884736, 1105920, 1728000, 2211840, 2764800, 3456000, 6635520, 8294400, 11059200, 13824000, 26542080, 33177600, 41472000, 82944000, 103680000, 132710400, 331776000, 995328000

Offset

1,1

Comments

Also sorted number of faces of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes. Sorted 2nd or 3rd 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) = 480 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, A199807, A199811.

Sequence in context: A206200 A258558 A083728 * A253401 A327944 A357493

Adjacent sequences: A199805 A199806 A199807 * A199809 A199810 A199811

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Nov 10 2011

Status

approved