A383801 Number of polyforms with n cells on the faces of a triakis octahedron up to rotation.

1, 1, 2, 3, 5, 7, 15, 24, 48, 81, 149, 255, 458, 730, 1148, 1623, 2112, 2325, 2075, 1175, 410, 84, 16, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "one-sided" polyforms.

The triakis octahedron is the polyhedral dual of the truncated cube.

Links

• Peter Kagey, Illustration of a(6)=15.
• Wikipedia, Triakis octahedron

Crossrefs

Cf. A383800 (free).

Tetrahedral symmetry: A383826.

Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.

Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.