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

Author

Jonathan Vos Post, Nov 07 2011

Keywords

• nonn
• fini
• full

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.

Examples

			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.
		

Links

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

Crossrefs

Cf. A053016, A199546.