

A199545


Sorted number of vertices of distinct solutions in the mix of regular convex polyhedra.


5



24, 48, 48, 72, 96, 96, 120, 240, 240, 288, 480, 576, 576, 1152, 1440, 1440, 2880, 2880, 5760, 5760, 6912, 17280, 34560, 34560, 69120, 414720
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OFFSET

1,1


COMMENTS

Sorted column 1 of Table 1 of the Cunningham reference.
Also (after sorting) the number of facets of distinct solutions, sorted column 3 of Table 1.


LINKS

Table of n, a(n) for n=1..26.
Gabe Cunningham, Mixing Convex Polytopes, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.


EXAMPLE

a(1) = 24 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.


CROSSREFS

Cf. A053016, A199546.
Sequence in context: A220515 A215148 A040552 * A098427 A105651 A105779
Adjacent sequences: A199542 A199543 A199544 * A199546 A199547 A199548


KEYWORD

nonn,fini,full


AUTHOR

Jonathan Vos Post, Nov 07 2011


STATUS

approved



