A080866 Number of equal shortest edges in the solutions of the Tammes' problem.

1, 3, 6, 6, 12, 12, 16, 18, 19, 25, 30, 24, 28

Offset

2,2

Comments

A conjectured continuation of the sequence starting with n=15 would be: 30, 32, 34, 34, 34, 39, 40, 42, 43, 60, 48, 46, 52, 52, 54, 63, 60, 66, 66, 68, 66, 72, 66, 72, 76, 78, 81, 85, 82, 88, 84, 91, 89, 120, 96, 102.

In the visualization given at the link the shortest edges are those drawn as golden color rods.

References

See under A080865.

Links

Table of n, a(n) for n=2..14.

Hugo Pfoertner, Arrangement of points on a sphere. Visualization of the best known solutions of the Tammes' problem.

Hugo Pfoertner, Table of edge lengths.

Crossrefs

Cf. A080865.

Sequence in context: A279625 A012212 A232941 * A310131 A383417 A066393

Adjacent sequences: A080863 A080864 A080865 * A080867 A080868 A080869

Keyword

hard,nonn

Author

Hugo Pfoertner, Feb 21 2003

Status

approved