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A199807
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Sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
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3
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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
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OFFSET
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1,1
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COMMENTS
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Sorted 1st column of Table 2, p. 11, of Cunningham.
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LINKS
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EXAMPLE
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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).
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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