A233205 List of automorphism group orders of five-dimensional tilings of space by cubes.

1, 2, 3, 4, 5, 6, 8, 10, 12, 16, 24, 32, 48, 64, 96, 128, 160, 192, 256, 320, 384, 512, 640, 768, 1024, 1280, 1536, 2048, 3072, 4096, 6144, 12288, 24576, 122880

Offset

1,2

Comments

The complete list is shown.

There are 899710227 isomorphism classes of such tilings, and a total of 638560878292512 distinct tilings.

Links

Table of n, a(n) for n=1..34.

K. Ashik Mathew, Patric R. J. Östergård, Alexandru Popa, Enumerating Cube Tilings, Discrete Comput. Geom. 50 (2013), no. 4, 1112--1122. MR3138149.

Crossrefs

Sequence in context: A364550 A029747 A095381 * A158292 A141341 A238110

Adjacent sequences: A233202 A233203 A233204 * A233206 A233207 A233208

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 22 2013

Status

approved