A383494 Number of polyforms with n cells on the faces of a pentakis dodecahedron up to rotation and reflection.

1, 1, 2, 2, 6, 10, 27, 56, 149, 352, 915, 2285, 5919, 15084, 38908, 99627, 255728, 653113, 1664892, 4221090, 10648018, 26658710, 66154031, 162272380, 392491903, 933148405, 2173804324, 4943689469, 10932561700, 23403033225, 48251790080, 95274168428

Offset

0,3

Comments

These are "free" polyforms.

The pentakis dodecahedron is the polyhedral dual of the truncated icosahedron.

Links

Table of n, a(n) for n=0..31.

Wikipedia, Pentakis dodecahedron

Crossrefs

Cf. A383495 (one-sided).

Cf. A030135 (dodecahedron), A030136 (icosahedron), A340635 (deltoidal hexecontahedron), A383490 (rhombic triacontahedron), A383492 (triakis icosahedron), A383496 (disdyakis triacontahedron).

Sequence in context: A265639 A208900 A229733 * A051765 A265987 A076907

Adjacent sequences: A383491 A383492 A383493 * A383495 A383496 A383497

Keyword

nonn,fini,more

Author

Peter Kagey, Apr 28 2025

Extensions

a(14)-a(31) from Bert Dobbelaere, Jun 12 2025

Status

approved