Lattice Groups

In the plane, there are 17 lattice groups, eight of which are pure translation. In , there are 32 point groups and 230 space groups. In , there are 4783 space lattice groups.

See also

Point Groups, Space Groups, Wallpaper Groups

Explore with Wolfram|Alpha

More things to try:

Cite this as:

Weisstein, Eric W. "Lattice Groups." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LatticeGroups.html

Subject classifications