# Spacing

The *spacing* from a set of coordinates A to another set B, is the largest distance *d* (in that coordinates system) such that all the following are true for the circle of diameter *d* centered at the center of A:

- the circle contains no point of B; and
- either B contains an horizontal rectangle with width and height at least
*d*, or the circle does not intersect a similar circle of diameter*d*centered at the center of B.

Where the *center* of a set of coordinate is the intersection of the diagonals of the smallest horizontal rectangle that contains the set.