Lattice (group)

Periodic set of points

In geometry and group theory, a lattice in the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} is an infinite set of lattice points having the following properties: Coordinate-wise addition or subtraction of two points in the lattice produces another lattice point. The lattice points are all separated by some minimum distance (isolated). Every point in the space is within some maximum distance of a lattice point.

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