A329500 -id:A329500 - cp's OEIS frontend

Showing 1-6 of 6 results.

A330555 Coordination sequence for 1-skeleton of icosidodecahedron.

Original entry on oeis.org

1, 4, 8, 8, 8, 1

Offset: 0

N. J. A. Sloane, Dec 24 2019

The King-Canfield reference shows how this polyhedron is involved in the solution of the quintic equation using elliptic functions.

Tom Karzes, Polyhedron Coordination Sequences
R. B. King, and E. R. Canfield, Icosahedral symmetry and the quintic equation, Computers & Mathematics with Applications 24.3 (1992): 13-28. See Fig. 3.
N. J. A. Sloane, Vertices of icosidodecahedron labeled with distances from a base vertex (labeled 0), except for the antipode to the base vertex which is labeled A.

A329499 Coordination sequence for 1-skeleton of the 24-cell (or {3,4,3}).

Original entry on oeis.org

1, 8, 14, 1

Offset: 0

N. J. A. Sloane, Nov 18 2019

H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 149.

N. J. A. Sloane, The 24 vertices of the 24-cell labeled with their distance from a base vertex (which is labeled 0).
Wikipedia, 24-cell
Index entries for coordination sequences

Cf. A108997, A118785, A329500.

Name edited by Felix Fröhlich, May 14 2021

A330564 Coordination sequence for 1-skeleton of small stellated dodecahedron with respect to a trivalent node (a valley).

Original entry on oeis.org

1, 6, 9, 9, 6, 1

Offset: 0

N. J. A. Sloane, Jan 01 2020

The coordination sequence with respect to a pentavalent node (a peak) is 1,5,10,10,5,1. Since this coordination sequence is a row of Pascal's triangle it does not have its own entry.

H. M. Cundy and A. P. Rollett, Mathematical Models, Oxford, 1st. ed., corrected 1957, pp. 84-85.

Tom Karzes, Polyhedron Coordination Sequences

Cf. A329500, A330555.

A330566 Coordination sequence for 1-skeleton of rhombic enneacontahedron with respect to a trivalent node.

Original entry on oeis.org

1, 3, 11, 8, 18, 10, 18, 8, 11, 3, 1

Offset: 0

N. J. A. Sloane, Jan 06 2020

Computed by Fred Lunnon.

George W. Hart, "A Color-Matching Dissection of the Rhombic Enneacontahedron", Symmetry: Culture and Science, vol. 11, 2000, pp. 183-199.

George W. Hart, A Color-Matching Dissection of the Rhombic Enneacontahedron
Wikipedia, Rhombic Enneacontahedron
Index entries for coordination sequences

Cf. A330567, A330568.

See also A329500, A330555, A330564.

A330567 Coordination sequence for 1-skeleton of rhombic enneacontahedron with respect to a pentavalent node.

Original entry on oeis.org

1, 5, 5, 15, 10, 20, 10, 15, 5, 5, 1

Offset: 0

N. J. A. Sloane, Jan 06 2020

Computed by Fred Lunnon.

George W. Hart, "A Color-Matching Dissection of the Rhombic Enneacontahedron", Symmetry: Culture and Science, vol. 11, 2000, pp. 183-199.

George W. Hart, A Color-Matching Dissection of the Rhombic Enneacontahedron
Wikipedia, Rhombic Enneacontahedron

Cf. A330566, A330568.

See also A329500, A330555, A330564.

A330568 Coordination sequence for 1-skeleton of rhombic enneacontahedron with respect to a hexavalent node.

Original entry on oeis.org

1, 6, 6, 15, 9, 18, 9, 15, 6, 6, 1

Offset: 0

N. J. A. Sloane, Jan 06 2020

Computed by Fred Lunnon.

George W. Hart, "A Color-Matching Dissection of the Rhombic Enneacontahedron", Symmetry: Culture and Science, vol. 11, 2000, pp. 183-199.

George W. Hart, A Color-Matching Dissection of the Rhombic Enneacontahedron
Wikipedia, Rhombic Enneacontahedron

Cf. A330566, A330567.

See also A329500, A330555, A330564.

Showing 1-6 of 6 results.