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

Author

Peter Kagey, Apr 28 2025

Keywords

• nonn
• fini
• full

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).

Extensions

More terms from Bert Dobbelaere, Jun 10 2025