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Lattice Groups

In the plane, there are 17 lattice groups, eight of which are pure translation. In $\Bbb{R}^3$, there are 32 Point Groups and 230 Space Groups. In $\Bbb{R}^4$, there are 4783 space lattice groups.

See also Point Groups, Space Groups, Wallpaper Groups

© 1996-9 Eric W. Weisstein