Unit square

The unit square in the Euclidean plane

Unit square is an abbreviated mathematical name for a square with sides one length. In Cartesian coordinates , the square with the corner points (0,0), (1,0), (1,1), (0,1) is usually meant. This is the set of all points such that and both are between zero and one, i.e. the Cartesian product of the closed interval with itself. ${\displaystyle (x,y)}$ ${\displaystyle x}$ ${\displaystyle y}$ ${\displaystyle [0,1]\times [0,1]}$ ${\displaystyle [0,1]}$

The unit square has the area 1 and the circumference 4. The length of its diagonal is . ${\displaystyle {\sqrt {2}}}$