A383492 Number of polyforms with n cells on the faces of a triakis icosahedron up to rotation and reflection.

1, 1, 2, 2, 4, 4, 10, 13, 29, 47, 99, 175, 358, 669, 1346, 2600, 5191, 10137, 20093, 39320, 77437, 151314, 295745, 574011, 1110144, 2130239, 4059919, 7662738, 14316799, 26413683, 48057066, 86015788, 151180505, 260256043, 437720722, 716963561, 1139830037, 1751982279, 2592522277

Offset

0,3

Comments

These are "free" 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. A383493 (one-sided).

Cf. A030135 (dodecahedron), A030136 (icosahedron), A340635 (deltoidal hexecontahedron), A383490 (rhombic triacontahedron), A383494 (pentakis dodecahedron), A383496 (disdyakis triacontahedron).

Cf. A057784 (triakis triangular tiling).

Sequence in context: A320434 A383800 A329394 * A057784 A209284 A321468

Adjacent sequences: A383489 A383490 A383491 * A383493 A383494 A383495

Keyword

nonn,fini,full

Author

Peter Kagey, Apr 28 2025

Extensions

More terms from Bert Dobbelaere, Jun 10 2025

Status

approved