with its center at the point and sides of length (where is the inradius, half the side length) has vertices at the four points . Its interior consists of the points with , and its boundary consists of the points with .

A diagonal square with its center at the point and diagonal of length (where is the circumradius, half the diagonal) has vertices at the four points and . Its interior consists of the points with , and its boundary consists of the points with . For instance the illustration shows a diagonal square centered at the