A199549 Sorted number of sizes of the automorphism groups of distinct solutions in the mix of regular convex polyhedra.

576, 576, 1152, 1440, 1440, 2880, 2880, 2880, 2880, 7200, 13824, 34560, 34560, 34560, 34560, 69120, 69120, 86400, 172800, 172800, 829440, 829440, 2073600, 2073600, 4147200, 49766400

Offset

1,1

Comments

Sorted column 4 of Table 1 in the Cunningham reference.

Links

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

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

Formula

a(n) = 4 * A199546(n). - Andrei Zabolotskii, Oct 24 2025

Example

a(1) = 576 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, A199545, A199546.

Sequence in context: A027527 A069421 A136111 * A131982 A295017 A053969

Adjacent sequences: A199546 A199547 A199548 * A199550 A199551 A199552

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Nov 07 2011

Extensions

Ordering corrected by Andrei Zabolotskii, Oct 23 2025

Status

approved