A383800 Number of polyforms with n cells on the faces of a triakis octahedron up to rotation and reflection.

1, 1, 2, 2, 4, 4, 10, 13, 28, 42, 81, 130, 239, 369, 587, 817, 1072, 1170, 1054, 594, 217, 46, 11, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

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

Links

• Wikipedia, Triakis octahedron

Crossrefs

Cf. A383801 (one-sided).

Octahedral symmetry: A333333 (row 3), A383800, A383802, A383804, A383806.

Icosahedral symmetry: A030135, A030136, A340635, A383490, A383492, A383494, A383496.