A199807 Sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

40, 120, 128, 192, 384, 600, 960, 960, 960, 1920, 2880, 3072, 4800, 4800, 7680, 14400, 14400, 15360, 23040, 23040, 36000, 46080, 72000, 115200, 115200, 115200, 288000, 4320000, 576000, 864000, 921600, 1728000, 2764800, 6912000, 13824000

Offset: 1

Author

Jonathan Vos Post, Nov 10 2011

Keywords

• nonn
• fini
• full

Comments

Sorted 1st column of Table 2, p. 11, of Cunningham.

Examples

			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).
		

Links

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

Crossrefs

Cf. A063924, A199545, A199546, A199549, A199808-A199811.