A383490 Number of polyforms with n cells on the faces of a rhombic triacontahedron up to rotation and reflection.

1, 1, 1, 3, 4, 12, 24, 65, 156, 422, 1057, 2708, 6574, 15399, 33438, 66787, 118242, 180602, 227896, 226652, 169294, 97224, 44324, 16416, 5005, 1247, 261, 46, 8, 1, 1

Offset: 0

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

The rhombic triacontahedron is the polyhedral dual of the icosidodecahedron.

Also the number of free polyedges of the dodecahedron.

Links

• Wikipedia, Rhombic triacontahedron

Crossrefs

Cf. A383491 (one-sided).

Cf. A030135 (dodecahedron), A030136 (icosahedron), A340635 (deltoidal hexecontahedron), A383492 (triakis icosahedron), A383494 (pentakis dodecahedron), A383496 (disdyakis triacontahedron).

Cf. A383974.

Extensions

a(14)-a(30) from Pontus von Brömssen, May 23 2025