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 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 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 ...

... 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**antiprism ... 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 ...

### Famous quotes containing the word square:

“A man who is good enough to shed his blood for his country is good enough to be given a *square* deal afterwards. More than that no man is entitled to, and less than that no man shall have.”

—Theodore Roosevelt (1858–1919)

“O for a man who is a man, and, as my neighbor says, has a bone in his back which you cannot pass your hand through! Our statistics are at fault: the population has been returned too large. How many men are there to a *square* thousand miles in this country? Hardly one.”

—Henry David Thoreau (1817–1862)

“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)