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Sorted number of vertices of distinct solutions in the mix of regular convex polyhedra.
5

%I #13 Feb 15 2020 03:47:47

%S 24,48,48,72,96,96,120,240,240,288,480,576,576,1152,1440,1440,2880,

%T 2880,5760,5760,6912,17280,34560,34560,69120,414720

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

%C Sorted column 1 of Table 1 of the Cunningham reference.

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

%H Gabe Cunningham, <a href="http://arxiv.org/abs/1111.1312">Mixing Convex Polytopes</a>, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.

%e 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.

%Y Cf. A053016, A199546.

%K nonn,fini,full

%O 1,1

%A _Jonathan Vos Post_, Nov 07 2011