A385025 Number of face-connected components of gyrobifastigium cells in the gyrobifastigium honeycomb up to translation, rotation, and reflection of the honeycomb.

1, 2, 6, 31, 181, 1332, 10510, 88054, 757202, 6650140, 59248825, 534180521, 4862936054

Offset: 1

Author

Peter Kagey and Bert Dobbelaere, Jun 15 2025

Keywords

• nonn
• hard
• more

Comments

These are "free polyforms" because they are counted up to rotation and reflection.

Links

• Peter Kagey, Animation illustrating a(4)=31.
• Wikipedia, Gyrobifastigium

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).