The points with integer coordinates in a real d-dimensional affine space with a chosen origin and coordinate basis. Translations by integer vectors and dilations by positive integers preserve this set. The Gallai theorem for an integer lattice concerns finite colourings of these points and homothetic copies of finite configurations of them.
Articles by others on the same topic
An **integer lattice** is a discrete subset of Euclidean space formed by points whose coordinates are all integers.