A199545 Sorted number of vertices of distinct solutions in the mix of regular convex polyhedra.

24, 48, 48, 72, 96, 96, 120, 240, 240, 288, 480, 576, 576, 1152, 1440, 1440, 2880, 2880, 5760, 5760, 6912, 17280, 34560, 34560, 69120, 414720

Offset

1,1

Comments

Sorted column 1 of Table 1 of the Cunningham reference.

Also (after sorting) the number of facets of distinct solutions, sorted column 3 of Table 1.

Links

Table of n, a(n) for n=1..26.

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

Example

a(1) = 24 because the mix of the tetrahedron {3,3} and the octahedron {3,4} has 24 vertices, 144 edges, 96 facets, and the size of the automorphism group (which is also the number of flags) is 576.

Crossrefs

Cf. A053016, A199546.

Sequence in context: A220515 A215148 A040552 * A098427 A335142 A335143

Adjacent sequences: A199542 A199543 A199544 * A199546 A199547 A199548

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Nov 07 2011

Status

approved