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A199810 Duplicate of A199807. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Name was: Sorted number of polyhedral facets of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

Sorted 4th column of Table 2, p.11, of Cunningham. Once sorted, from column 1 of the same table, which is the permutation A199807, becomes the same sequence as sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

LINKS

Table of n, a(n) for n=1..35.

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

EXAMPLE

a(1) = 40 because the mix of the pentatope {3,3,3} and the 8-cell tesseract {4,4,3} has 960 vertices, 1920 edges, 480 faces, 40 polyhedral facets, and an automorphism group of order 23040, and is itself polytopal (not every mix of polytope and polytope is a polytope).

CROSSREFS

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

Sequence in context: A260601 A234921 A199807 * A185762 A234914 A043470

Adjacent sequences:  A199807 A199808 A199809 * A199811 A199812 A199813

KEYWORD

nonn,fini,full

AUTHOR

Jonathan Vos Post, Nov 10 2011

STATUS

approved

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Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)