A383496 Number of polyforms with n cells on the faces of a disdyakis triacontahedron up to rotation and reflection.

1, 1, 3, 3, 9, 14, 38, 74, 185, 414, 1025, 2430, 6012, 14640, 36294, 89531, 222452, 552015, 1374367, 3421955, 8535077, 21296556, 53184718, 132846918, 331913842, 829176301, 2071018243, 5170617085, 12902719975, 32176288808

Offset: 0

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• more
• fini

Comments

These are "free" polyforms.

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

Links

• Peter Kagey, Illustration of first four terms of A383496.
• Wikipedia, Disdyakis triacontahedron

Crossrefs

Cf. A383497 (one-sided).

Cf. A030135 (dodecahedron), A030136 (icosahedron), A340635 (deltoidal hexecontahedron), A383490 (rhombic triacontahedron), A383492 (triakis icosahedron), A383494 (pentakis dodecahedron).

Cf. A197462 (kisrhombille tiling).

Extensions

a(14)-a(29) from Bert Dobbelaere, Jun 13 2025