A135059 Number of special cuts of 600-cell with n vertices up to symmetries of the polytope.

1, 7, 39, 436, 4776, 45775, 334380, 1826415, 7355498, 21671527, 46176020, 70145269, 74619659, 54482049, 26749384, 8690111, 1856685, 263268, 25265, 1683, 86, 9, 1, 1

Offset

1,2

Comments

The 600-cell is a 4-D regular polytope with 120 vertices whose facets are 600 tetrahedra and a special cut is a family S of vertices of 600-cells such that no two vertices in S are adjacent. The index n of this sequence is the number of vertices of S. Since the number of vertices in S is at most 24, the sequence is finite.

Links

Table of n, a(n) for n=1..24.

Mathieu Dutour Sikiric, Special cuts of 600-cell

Mathieu Dutour Sikirić and Wendy Myrvold, The Special Cuts of the 600-cell, Beiträge zur Algebra und Geometrie, Vol. 49, No. 1 (2008), 269-275; arXiv:0708.3443 [math.MG], 2007.

Crossrefs

Cf. A143661.

Sequence in context: A202763 A035357 A207152 * A203200 A165700 A249635

Adjacent sequences: A135056 A135057 A135058 * A135060 A135061 A135062

Keyword

fini,full,nonn

Author

Mathew Odilika (fre54108(AT)yahoo.it), Feb 11 2008

Extensions

Name edited by Andrey Zabolotskiy, Mar 20 2024

Status

approved