Lattice point
This article is a stub. Help us out by expanding it.
A lattice point is a point in a Cartesian coordinate system such that both its - and -coordinates are integers. A lattice point is a point at the intersection of two or more grid lines in a regularly spaced array of points, which is a point lattice. In a plane, point lattices can be constructed having unit cells in the shape of a square, rectangle, hexagon, and other shapes. If not specified, a point lattice is usually a point in a square array.
Example
A point lattice is constructed by plotting all of the points such that $a,b \in \Z^{+}$ (Error compiling LaTeX. Unknown error_msg). How many points in the point lattice lie on the line ?
Solution
Notice that . So, and are the only such points, giving us points.
~advanture