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

%I #11 Feb 15 2020 03:47:36

%S 144,144,288,360,360,360,720,720,720,720,1800,3456,8640,8640,8640,

%T 8640,17280,17280,21600,43200,43200,207360,207360,518400,518400,

%U 1036800,12441600

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

%C Sorted column 2 of Table 1 of the Cunningham reference.

%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) = 144 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, A199545.

%K nonn,fini,full

%O 1,1

%A _Jonathan Vos Post_, Nov 07 2011