Integer lattice
= Integer lattice
{title2=$\mathbb Z^d$}
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.