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

0,4

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

Table of n, a(n) for n=0..30.

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.

Sequence in context: A073713 A291023 A084921 * A070765 A000577 A333163

Adjacent sequences: A383487 A383488 A383489 * A383491 A383492 A383493

Keyword

nonn,fini,full

Author

Peter Kagey, Apr 28 2025

Extensions

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

Status

approved