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

1,2

Comments

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

Links

Table of n, a(n) for n=1..13.

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).

Sequence in context: A287592 A054141 A007710 * A275558 A094639 A113719

Adjacent sequences: A385022 A385023 A385024 * A385026 A385027 A385028

Keyword

nonn,hard,more

Author

Peter Kagey and Bert Dobbelaere, Jun 15 2025

Status

approved