A lattice point of a point lattice 
is a point belonging to 
. If 
is the standard integer
lattice, its lattice points are precisely the points 
whose coordinates 
are all integers.
Thus the definition does not depend on grid lines drawn through the points,
and it applies equally in dimensions greater than two.
Lattice Point
See also
Integer Lattice, Lattice Polygon, Point LatticeExplore with Wolfram|Alpha
References
Conway, J. H. and Sloane, N. J. A. Sphere Packings, Lattices and Groups, 3rd ed. New York: Springer-Verlag, 1999.Referenced on Wolfram|Alpha
Lattice PointCite this as:
Weisstein, Eric W. "Lattice Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LatticePoint.html