Square

In geometry, a square is a regular quadrilateral. This means that it has four equal sides and four equal angles (90-degree angles, or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD.
The square is the n=2 case of the families of n-hypercubes and n-orthoplexes.
A convex quadrilateral is a square if and only if it is any one of the following:
The perimeter of a square whose four sides have length t is
and the area K is
In classical times, the second power was described in terms of the area of a square, as in the above formula. This led to the use of the term square to mean raising to the second power.
The coordinates for the vertices of a square centered at the origin and with side length 2 are (±1, ±1), while the interior of the same consists of all points (xi, yi) with −1 < xi < 1 and −1 < yi < 1.
The equation
describes a square of side 2, centered at the origin. This equation means …