A199546
Sorted number of edges of distinct solutions in the mix of regular convex polyhedra.
Original entry on oeis.org
144, 144, 288, 360, 360, 360, 720, 720, 720, 720, 1800, 3456, 8640, 8640, 8640, 8640, 17280, 17280, 21600, 43200, 43200, 207360, 207360, 518400, 518400, 1036800, 12441600
Offset: 1
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.
A199549
Sorted number of sizes of the automorphism groups of distinct solutions in the mix of regular convex polyhedra.
Original entry on oeis.org
576, 576, 1152, 1440, 1440, 2880, 2880, 2880, 2880, 7200, 13824, 34560, 34560, 34560, 34560, 69120, 69120, 172800, 172800, 86400, 829440, 829440, 2073600, 2073600, 4147200, 49766400
Offset: 1
a(1) = 576 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.
A199807
Sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
Original entry on oeis.org
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
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).
A199811
Sorted orders of automorphism groups of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
Original entry on oeis.org
23040, 23040, 69120, 73728, 221184, 221184, 864000, 864000, 2764800, 2764800, 2764800, 2764800, 4423680, 8294400, 8294400, 13271040, 13271040, 42467328, 103680000, 165888000, 165888000, 165888000, 165888000, 497664000, 497664000, 530841600, 530841600, 1592524800, 1592524800, 1592524800, 1592524800, 6220800000, 19906560000, 19906560000, 59719680000
Offset: 1
a(1) = 23040 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).
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
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).
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