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

### Other articles related to "square, squares":

... of these to obtain an octagonal prism with regular faces and two additional polyhedra called

**square**cupolae, which count among the Johnson solids it is thus an elongated

**square**... These pieces can be reassembled to give a new solid called the elongated

**square**gyrobicupola or pseudorhombicuboctahedron, with the symmetry of a

**square**... with one triangle and three

**squares**meeting at each, but are not all identical with respect to the entire polyhedron, since some are closer to the symmetry ...

... Census Bureau, the county has a total area of 906

**square**miles (2,346.5 km2), of which 903

**square**miles (2,338.8 km2) is land and 3

**square**miles (7.8 km2) (0.33%) is water ...

... The heating surface of the boiler was 254.8

**square**metres (2,743

**square**feet), of which 98.5

**square**metres (1,060

**square**feet) were superheated, while the grate area was 4.72

**square**...

**Square**- Graphs

... The K4 complete graph is often drawn as a square with all 6 edges connected ... This graph also represents an orthographic projection of the 4 vertices and 6 edges of the regular 3-simplex (tetrahedron) ...

... to the 2010 census, the village has a total area of 0.21

**square**miles (0.54 km2), of which 0.20

**square**miles (0.52 km2) (or 95.24%) is land and 0.01

**square**miles (0.026 km2) (or 4.76%) is water ...

### Famous quotes containing the word square:

“After the planet becomes theirs, many millions of years will have to pass before a beetle particularly loved by God, at the end of its calculations will find written on a sheet of paper in letters of fire that energy is equal to the mass multiplied by the *square* of the velocity of light. The new kings of the world will live tranquilly for a long time, confining themselves to devouring each other and being parasites among each other on a cottage industry scale.”

—Primo Levi (1919–1987)

“Interpreting the dance: young women in white dancing in a ring can only be virgins; old women in black dancing in a ring can only be witches; but middle-aged women in colors, *square* dancing...?”

—Mason Cooley (b. 1927)

“Houses haunt me.

That last house!

How it sat like a *square* box!”

—Anne Sexton (1928–1974)