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

0,2

Comments

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

Links

Table of n, a(n) for n=0..10.

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).

Sequence in context: A283322 A019025 A264729 * A339781 A377358 A192332

Adjacent sequences: A384751 A384752 A384753 * A384755 A384756 A384757

Keyword

nonn,more

Author

Peter Kagey, Jun 09 2025

Extensions

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

Status

approved