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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

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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,changed

AUTHOR

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