A383497 Number of polyforms with n cells on the faces of a disdyakis triacontahedron up to rotation.

1, 2, 3, 6, 13, 28, 66, 148, 349, 828, 2004, 4860, 11919, 29280, 72348, 179062, 444357, 1104030, 2747476, 6843910, 17067229, 42593112, 106362575, 265693836, 663811498, 1658352602, 4141998151, 10341234170, 25805349073, 64352577616

Offset: 0

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• fini
• more

Comments

These are "one-sided" polyforms.

The disdyakis triacontahedron is the polyhedral dual of the truncated icosidodecahedron.

Links

• Wikipedia, Disdyakis triacontahedron

Crossrefs

Cf. A383496 (free).

Cf. A030137 (dodecahedron), A030138 (icosahedron), A383491 (rhombic triacontahedron), A383493 (triakis icosahedron), A383495 (pentakis dodecahedron), A383498 (deltoidal hexecontahedron).

Cf. A197463 (kisrhombille tiling).

Extensions

a(1) corrected and a(13)-a(29) from Bert Dobbelaere, Jun 13 2025