A038174 Number of "polyspheres", or "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the f.c.c. lattice, allowing translation and rotations of the lattice, reflections and 180 deg. rotations about a 3-fold symmetry axis of the lattice.

1, 1, 4, 25, 210, 2209, 24651, 284768, 3360995, 40328652, 490455189

Offset

1,3

Links

Table of n, a(n) for n=1..11.

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

Ishino Keiichiro, Polysphere, Puzzle will be played, 2008.

T. Sillke, Notations for polyspheres

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

Crossrefs

Cf. A000162, A038119, A038168, A038169, A038170, A038171, A038172, A038173.

Sequence in context: A203219 A064299 A261898 * A049118 A305323 A215094

Adjacent sequences: A038171 A038172 A038173 * A038175 A038176 A038177

Keyword

nonn,more

Author

Achim Flammenkamp, Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM).

Extensions

a(9) and a(10) from Achim Flammenkamp Feb 15 1999

a(11) from Ishino Keiichiro's website added by Andrey Zabolotskiy, Mar 03 2023

Status

approved