cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

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

Views

Author

N. J. A. Sloane, Nov 17 2019

Keywords

Comments

The truncated icosahedron is a polyhedron with 60 vertices and 32 faces. There are 20 hexagonal faces and 12 pentagonal faces. It is also known as a "Buckyball". In chemistry this structure is called a fullerene ("Buckminsterfullerene") and has formula C_60.

Links

Crossrefs

Cf. A108997, A118785, A329499.

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

Views

Author

Andrew Weimholt, Jul 29 2005

Keywords

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

Crossrefs

Cf. A118785, A329499.

A118785 Coordination sequence for 600-cell: number of vertices at graph distance n from a given vertex on the skeleton of the regular 600-cell (or {5,3,3}).

Original entry on oeis.org

1, 12, 32, 42, 32, 1
Offset: 0

Views

Author

Eric W. Weisstein, Apr 29 2006

Keywords

References

  • H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 153.

Links

Crossrefs

Cf. A108997, A329499.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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