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.

Read more about Square: Characterizations, Perimeter and Area, Coordinates and Equations, Construction, Properties, Other Facts, Non-Euclidean Geometry, Graphs

### Famous quotes containing the word square:

“I walked by the Union *Square* Bar, I was gonna go in. And I saw myself, my reflection in the window. And I thought, “I wonder who that bum is.” And then I saw it was me. Now look at me, I’m a bum. Look at me. Look at you. You’re a bum.”

—J.P. (James Pinckney)

“In old times people used to try and *square* the circle; now they try and devise schemes for satisfying the Irish nation.”

—Samuel Butler (1835–1902)

“If the physicians had not their cassocks and their mules, if the doctors had not their *square* caps and their robes four times too wide, they would never had duped the world, which cannot resist so original an appearance.”

—Blaise Pascal (1623–1662)