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":

... 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 ...

... and two additional polyhedra called

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

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

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

**square**... are all locally the same as those of a rhombicuboctahedron, with one triangle and three

**squares**meeting at each, but are not all identical with respect ...

... 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) ...

... According 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 ...

### Famous quotes containing the word square:

“The *square* dance fiddler’s first concern is to carry a tune, but he must carry it loud enough to be heard over the noise of stamping feet, the cries of the “caller,” and the shouts of the dancers. When he fiddles, he “fiddles all over”; feet, hands, knees, head, and eyes are all busy.”

—State of Oklahoma, U.S. public relief program (1935-1943)

“Rationalists, wearing *square* hats,

Think, in *square* rooms,

Looking at the floor,

Looking at the ceiling.

They confine themselves

To right-angled triangles.”

—Wallace Stevens (1879–1955)

“Mark you the floore? that *square* & speckled stone,

Which looks so firm and strong,

Is Patience:”

—George Herbert (1593–1633)