A038181 Number of "connected animals" formed from n 4-gon or 6-gon connected truncated octahedra in the b.c.c. lattice, allowing translation and rotations of the lattice and reflections.

1, 2, 6, 35, 251, 2602, 30900, 400818, 5401599, 74617105, 1047497078, 14888851869

Offset

1,2

Comments

These are "free polyforms" consisting of face-connected polyhedral cells in the bitruncated cubic honeycomb. - Peter Kagey, Jun 23 2025

Links

Table of n, a(n) for n=1..12.

S. T. Coffin, Puzzling World of Polyhedral Dissections, Oxford Univ. Press, 1991.

Bert Dobbelaere, Peter Kagey, Drake Thomas, and Andrés R. Vindas-Meléndez, Building with Blocks: Enumerating Polyforms on Tilings, arXiv:2602.23301 [math.CO], 2026. See p. 9.

M. Owen, Splatts

T. Sillke, Notations for polyspheres

Wikipedia, Bitruncated cubic honeycomb

Index entries for sequences related to b.c.c. lattice

Crossrefs

Cf. A000162, A038119, A038168-A038174, A038180, A038386.

Sequence in context: A279736 A081003 A381937 * A305275 A326090 A197973

Adjacent sequences: A038178 A038179 A038180 * A038182 A038183 A038184

Keyword

nonn,more

Author

Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Extensions

More terms from Achim Flammenkamp

Definition corrected by Fred Bayer, Aug 11 2010

More terms from Mark Owen, Oct 11 2013

Status

approved