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%I #10 Feb 11 2020 07:42:04
%S 40,120,128,192,384,600,960,960,960,1920,2880,3072,4800,4800,7680,
%T 14400,14400,15360,23040,23040,36000,46080,72000,115200,115200,115200,
%U 288000,4320000,576000,864000,921600,1728000,2764800,6912000,13824000
%N Sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
%C Sorted 1st column of Table 2, p. 11, of Cunningham.
%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) = 40 because the mix of the pentatope {3,3,3} and the 16-cell hyperoctahedron {3,3,4} has 40 vertices, 480 edges, 1920 faces, 960 polyhedral facets, and an automorphism group of order 23040, and is itself polytopal (not every mix of polytope and polytope is a polytope).
%Y Cf. A063924, A199545, A199546, A199549, A199808-A199811.
%K nonn,fini,full
%O 1,1
%A _Jonathan Vos Post_, Nov 10 2011