A199811 -id:A199811 - cp's OEIS frontend

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

Jonathan Vos Post, Nov 10 2011

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

			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).

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

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

A199808 Sorted number of edges of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

Original entry on oeis.org

480, 1536, 1920, 4608, 5760, 14400, 18432, 34560, 46080, 57600, 72000, 92160, 138240, 230400, 276480, 691200, 691200, 884736, 1105920, 1728000, 2211840, 2764800, 3456000, 6635520, 8294400, 11059200, 13824000, 26542080, 33177600, 41472000, 82944000, 103680000, 132710400, 331776000, 995328000

Offset: 1

Jonathan Vos Post, Nov 10 2011

Also sorted number of faces of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes. Sorted 2nd or 3rd column of Table 2, p. 11, of Cunningham.

			a(1) = 480 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).

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

Cf. A063924, A199545, A199546, A199549, A199807, A199811.

cp's OEIS Frontend

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

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