A385024 Number of face-connected components of tetragonal disphenoidal cells in the tetragonal disphenoidal honeycomb up to translation, rotation, and reflection.

1, 1, 2, 5, 14, 47, 172, 691, 2881, 12449, 54782, 244992, 1107240, 5050360, 23202236, 107269382, 498622480, 2328953312, 10924738869

Offset: 1

Author

Peter Kagey and Bert Dobbelaere, Jun 15 2025

Keywords

• nonn
• hard
• more

Comments

These are "free polyforms" because rotation and reflection are allowed.

The tetragonal disphenoidal honeycomb is the dual of the bitruncated cubic honeycomb.

Links

• Peter Kagey, Animation illustrating a(5)=14.
• Wikipedia, Bitruncated cubic honeycomb
• Wikipedia, Tetragonal disphenoid honeycomb.

Crossrefs

Cf. A038119 (cubic), A038173 (rhombic dodecahedral), A038181 (truncated octahedral), A343909 (tetrahedral-octahedral), A365654 (square bipyramidal), A384254 (rectified cubic), A384274 (quarter cubic), A384754 (omnitruncated cubic), A385024 (tetragonal disphenoidal), A385025 (gyrobifastigium), A385026 (hexagonal prismatic), A385027 (triakis truncated tetrahedral).