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":

**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) ...

... 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 ...

... 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 ...

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

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

**square**antiprism ... 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 to the entire polyhedron, since some are closer to the ...

... 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**metres (50.8

**square**feet) ...

### Famous quotes containing the word square:

“I would say it was the coffin of a midget

Or a *square* baby

Were there not such a din in it.”

—Sylvia Plath (1932–1963)

“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)

“If magistrates had true justice, and if physicians had the true art of healing, they would have no occasion for *square* caps; the majesty of these sciences would of itself be venerable enough. But having only imaginary knowledge, they must employ those silly tools that strike the imagination with which they have to deal; and thereby, in fact, they inspire respect.”

—Blaise Pascal (1623–1662)