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

0,3

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

Table of n, a(n) for n=0..24.

Wikipedia, Tetrakis hexahedron

Crossrefs

Cf. A383802, A383803.

Sequence in context: A243790 A267296 A122847 * A383806 A383496 A197462

Adjacent sequences: A383824 A383825 A383826 * A383828 A383829 A383830

Keyword

nonn,fini,full

Author

Peter Kagey, May 11 2025

Status

approved