A383827 Number of polyforms with n cells on the faces of a tetrakis hexahedron up to tetrahedral symmetry.

1, 1, 3, 3, 9, 14, 37, 68, 156, 318, 685, 1362, 2664, 4645, 7306, 9594, 10016, 7605, 4130, 1539, 444, 86, 16, 1, 1

Offset: 0

Author

Peter Kagey, May 11 2025

Keywords

• nonn
• fini
• full

Comments

The triangular faces of the tetrakis hexahedron represent the 24 fundamental domains of tetrahedral symmetry.

The tetrakis hexahedron is the polyhedral dual of the truncated octahedron.

Links

• Wikipedia, Tetrakis hexahedron

Crossrefs

Cf. A383802, A383803.