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A199546
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Sorted number of edges of distinct solutions in the mix of regular convex polyhedra.
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7
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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
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OFFSET
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1,1
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COMMENTS
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Sorted column 2 of Table 1: The mix of regular convex polyhedra, p.9, Cunningham."The mixing operation for abstract polytopes gives a natural way to construct the minimal common cover of two polytopes. In this paper, we apply this construction to the regular convex polytopes, determining when the mix is again a polytope, and completely determining the structure of the mix in each case."
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LINKS
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Table of n, a(n) for n=1..27.
Gabe Cunningham, Mixing Convex Polytopes, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A053016, A199545.
Sequence in context: A056628 A093769 A124512 * A101936 A195670 A173065
Adjacent sequences: A199543 A199544 A199545 * A199547 A199548 A199549
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KEYWORD
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nonn,fini,full
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AUTHOR
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Jonathan Vos Post, Nov 07 2011
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STATUS
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approved
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