A329500
Coordination sequence for 1-skeleton of truncated icosahedron or "Buckyball".
Original entry on oeis.org
1, 3, 6, 8, 10, 10, 10, 8, 3, 1
Offset: 0
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}).
Original entry on oeis.org
1, 4, 12, 24, 36, 52, 68, 76, 78, 72, 64, 56, 40, 12, 4, 1
Offset: 0
- H. S. M. Coxeter, Introduction to geometry. 2nd edition, John Wiley & Sons, Inc., 1969, pp. 153, 404. MR0346644 (49 #11369)
A167985
Number of n-cycles on the graph of the regular 600-cell, 3 <= n <= 120.
Original entry on oeis.org
1200, 5400, 29520, 187200, 1310400, 9813600, 77193600, 630538632, 5307656400
Offset: 3
a(3) = 1200, because there are 1200 3-cycles on the graph of the 600-cell.
Cycle polynomial is 1200*x^3 + 5400*x^4 + 29520*x^5 + 187200*x^6 + 1310400*x^7 + 9813600*x^8 + 77193600*x^9 + 630538632*x^10 + ...
Cf.
A167981 (2n-cycles on graph of the tesseract).
Cf.
A167982 (n-cycles on graph of 16-cell).
Cf.
A167983 (n-cycles on graph of 24-cell).
Cf.
A167984 (n-cycles on graph of 120-cell).
Cf.
A085452 (2k-cycles on graph of n-cube).
Cf.
A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex).
Cf.
A167986 (k-cycles on graph of n-orthoplex).
Cf.
A118785 (number of vertices n-steps from a given vertex on graph of the 600-cell).
A329499
Coordination sequence for 1-skeleton of the 24-cell (or {3,4,3}).
Original entry on oeis.org
- H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 149.
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