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

Author

Achim Flammenkamp

Keywords

• nonn
• hard
• more

Comments

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

Links

• 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.

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