A383493 Number of polyforms with n cells on the faces of a triakis icosahedron up to rotation.

1, 1, 2, 3, 5, 7, 15, 24, 49, 91, 182, 344, 688, 1328, 2641, 5182, 10288, 20240, 40014, 78577, 154562, 302511, 590930, 1147805, 2219309, 4260085, 8118169, 15324786, 28630807, 52826179, 96109611, 172029602, 302353990, 520508934, 875430977, 1433922264, 2279645080, 3503957379

Offset: 0

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• fini
• full

Comments

These are "one-sided" polyforms.

The triakis icosahedron is the polyhedral dual of the truncated dodecahedron.

Links

• Bert Dobbelaere, Table of n, a(n) for n = 0..60
• Wikipedia, Triakis icosahedron

Crossrefs

Cf. A383492 (free).

Cf. A030137 (dodecahedron), A030138 (icosahedron), A383491 (rhombic triacontahedron), A383495 (pentakis dodecahedron), A383497 (disdyakis triacontahedron), A383498 (deltoidal hexecontahedron).

Cf. A151531 (triakis triangular tiling).

Extensions

More terms from Bert Dobbelaere, Jun 10 2025