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

0,2

Comments

These are "one-sided" polyforms.

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

Links

Table of n, a(n) for n=0..29.

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).

Sequence in context: A000646 A316770 A383807 * A197463 A032048 A287128

Adjacent sequences: A383494 A383495 A383496 * A383498 A383499 A383500

Keyword

nonn,fini,more

Author

Peter Kagey, Apr 28 2025

Extensions

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

Status

approved