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, 172800, 172800, 86400, 829440, 829440, 2073600, 2073600, 4147200, 49766400

Offset: 1

Author

Jonathan Vos Post, Nov 07 2011

Keywords

• nonn
• fini
• full

Comments

Sorted column 4 of Table 1 in the Cunningham reference.

Examples

			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.
		

Links

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

Crossrefs

Cf. A053016, A199545, A199546.