# Point space

A **point space**. Its elements are points. Objects in point space may be

Objects in point space are described by means of a *x*, *y*, *z*.

The point space used in crystallography is a *i.e.* an affine space where the scalar product is defined.

Crystal structures are described in point space. The vector space is a dual of the point space because to each pair of points in point space a vector in vector space can be associated.

## See also

- Chapter 8.1 in the
*International Tables for Crystallography Volume A*