A340635 Number of free deltoidal hexecontahedron polykites with n faces.

1, 2, 4, 10, 27, 80, 238, 751, 2374, 7608, 24371, 78341, 251269, 804594, 2565683, 8140581, 25650546, 80113477, 247328763, 752292342, 2245589193, 6549404314, 18573169874, 50940335705, 134325417269

Offset

1,2

Comments

The surface of a deltoidal hexecontahedron has 60 congruent faces. Edge-connected faces are called polykites. Reflections are included separately in the counts. Polykites can have from 1 to 60 faces.

These polykites are counted up to the full icosahedral group (order 120) of the deltoidal hexecontahedron. - Peter Kagey, Apr 28 2025

Links

Table of n, a(n) for n=1..25.

Wikipedia, Deltoidal Hexecontahedron

Crossrefs

Cf. A057786.

Cf. A030137 (dodecahedron), A030138 (icosahedron).

Sequence in context: A148106 A394503 A291210 * A099950 A121690 A138356

Adjacent sequences: A340632 A340633 A340634 * A340636 A340637 A340638

Keyword

nonn,fini,more

Author

Hilarie Orman, Jan 14 2021

Extensions

a(13)-a(25) from Bert Dobbelaere, Jun 13 2025

Status

approved