A383802 Number of polyforms with n cells on the faces of a tetrakis hexahedron up to rotation and reflection.

1, 1, 2, 2, 6, 8, 21, 36, 84, 164, 356, 691, 1361, 2342, 3707, 4830, 5082, 3843, 2128, 798, 248, 50, 12, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

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

Links

• Peter Kagey, Example of a(5)=8.
• Wikipedia, Tetrakis hexahedron

Crossrefs

Cf. A383803 (one-sided).

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

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

Cf. A197465 (tetrakis square tiling).