A108997 Coordination sequence for the 120-cell: number of vertices n steps away from a given vertex on the regular 120-cell (hecatonicosachoron or {3,3,5}).

1, 4, 12, 24, 36, 52, 68, 76, 78, 72, 64, 56, 40, 12, 4, 1

Offset: 0

Author

Andrew Weimholt, Jul 29 2005

Keywords

• fini
• full
• nonn

Comments

The adjacency graph of the 120-cell is a 4-regular graph of girth 5 (pentagonal cycles) and diameter 15. There are 30 distinct nonzero distances between vertices of the 120-cell in 4-space. - Michael Somos, Aug 09 2005

References

• H. S. M. Coxeter, Introduction to geometry. 2nd edition, John Wiley & Sons, Inc., 1969, pp. 153, 404. MR0346644 (49 #11369)

Links

• Eric Weisstein's World of Mathematics, 120-Cell
• Index entries for coordination sequences

Crossrefs

Cf. A118785, A329499.