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

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• fini
• more

Comments

These are "free" polyforms.

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

Links

• 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).

Extensions

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