**Introduction:**

Square has four equal sides and four equal angles. A square with vertices ABCD will be denoted [] *ABCD*. Generally square is a normal quadrilateral. Each side of the square is measured as a. Four sides of the square is multiplied by a and equal to 4a. Let us see about name the vertices of the square below.

**Perimeter and area:**

The formula for perimeter of square with side length t is,

p=4t

Area is ,

A=t^{2}(t square)

**Name the vertices of the square:**

**Other facts:**

If in a rhombus diagonals are equal, square is otherwise called as rhombus. In a square, diagonals are (about 1.414) times side of the square’s length. This can be known by pythagoras theorem.

- A square is said to be rectangle with all sides equal, or in a rhombus when all the angles are equal, or a parallelogram with equal diagonals that bisect the angles.
- If a figure is both a rectangle and a rhombus, then it will be name as square.
- The area of the circle is π / 2, a square can be circumscribed inside the circle.
- The area of the circle is π / 4, if a circle is inscribed in the square.
- The square of polytopes in two dimensions, hypercube and cross polytope.
- The name of the square is a symmetrical object. There are four lines of reflectional symmetry and rotational symmetry of order 4.

## Non-Euclidean Geometry

Most of the times name the vertices of the square is very easy to define, but in euclidean geometry, squares are polygons with four equal sides with equal angles in non-euclidean geometry. A square is a polygon with edges as great circle arcs of equal distance, which meet at equal angles in spherical. Squares in means of right angles will not exist.

## Examples

Six squares can make the sphere with three squares in each and every vertices and with 120 degree as internal angles is called a spherical cube. Euclidean plane make by the squares with four vertices for around each and every vertices, with each square having a 90 degrees as internal degree.