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A199549
Sorted number of sizes of the automorphism groups of distinct solutions in the mix of regular convex polyhedra.
3
576, 576, 1152, 1440, 1440, 2880, 2880, 2880, 2880, 7200, 13824, 34560, 34560, 34560, 34560, 69120, 69120, 172800, 172800, 86400, 829440, 829440, 2073600, 2073600, 4147200, 49766400
OFFSET
1,1
COMMENTS
Sorted column 4 of Table 1 in the Cunningham reference.
LINKS
Gabe Cunningham, Mixing Convex Polytopes, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.
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
KEYWORD
nonn,fini,full
AUTHOR
Jonathan Vos Post, Nov 07 2011
STATUS
approved