A038173 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice and reflections.

1, 1, 4, 20, 131, 1211, 12734, 144158, 1687737, 20196788, 245366931, 3016835487

Offset

1,3

Comments

This extends earlier work of Torsten Sillke (torsten.sillke(AT)lhsystems.com).

Links

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

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

George Sicherman, Catalogue of Polyrhons

T. Sillke, Notations for polyspheres

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

Crossrefs

Cf. A000162, A038119 (for simple-cubic lattice), A038168-A038174, A300812 (refined by number of contacts).

33rd row of A366766.

Sequence in context: A307006 A208735 A367887 * A345756 A172110 A333371

Adjacent sequences: A038170 A038171 A038172 * A038174 A038175 A038176

Keyword

nonn,hard,more

Author

Achim Flammenkamp

Extensions

a(10) from George Sicherman, Jul 24 2012

a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023

a(12) from Bert Dobbelaere, Jun 26 2025

Status

approved