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 SquareCharacterizations, Perimeter and Area, Coordinates and Equations, Construction, Properties, Other Facts, Non-Euclidean Geometry, Graphs

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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) ...
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Valley City, Illinois - Geography
... 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 0.01 square ...
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... prism with regular faces and two additional polyhedra called square cupolae, which count among the Johnson solids it is thus an elongated square orthobicupola ... be reassembled to give a new solid called the elongated square gyrobicupola or pseudorhombicuboctahedron, with the symmetry of a square antiprism ... 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 symmetry axis than others ...

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)

    This house was designed and constructed with the freedom of stroke of a forester’s axe, without other compass and square than Nature uses.
    Henry David Thoreau (1817–1862)

    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)