A383803 Number of polyforms with n cells on the faces of a tetrakis hexahedron up to rotation.

1, 1, 2, 3, 8, 14, 35, 68, 154, 318, 683, 1362, 2668, 4645, 7326, 9594, 10048, 7605, 4145, 1539, 445, 86, 16, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "one-sided" polyforms.

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

Links

• Peter Kagey, Illustration of a(4)=8.
• Wikipedia, Tetrakis hexahedron

Crossrefs

Cf. A383802 (free), A383827.

Tetrahedral symmetry: A383826.

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

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