Lattice Groups

In the plane, there are 17 lattice groups, eight of which are pure translation. In R^3, there are 32 point groups and 230 space groups. In R^4, there are 4783 space lattice groups.

See also

Point Groups, Space Groups, Wallpaper Groups

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

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