A384754 The number of face-connected components of polyhedra in the omnitruncated cubic honeycomb up to translation, rotation, and reflection.

1, 2, 4, 22, 179, 2227, 34278, 591787, 10765367, 201844314, 3860318208

Offset: 0

Author

Peter Kagey, Jun 09 2025

Keywords

• nonn
• more

Comments

The omnitruncated cubic honeycomb consists of truncated cuboctahedra and octagonal prisms.

Links

• Peter Kagey, Illustration of a(3) = 22.
• Wikipedia, Convex uniform honeycomb

Crossrefs

Cf. A384755.

Cf. A038119 (cubic honeycomb), A038181 (bitruncated cubic honeycomb), A343909 (tetrahedral-octahedral honeycomb), A384254 (rectified cubic honeycomb), A384274 (quarter cubic honeycomb).

Extensions

a(7)-a(10) from Bert Dobbelaere, Jun 14 2025