## ::Square

### ::concepts

Square::equal    Symmetry::right    Angles::geometry    Sides::circle    Squares::square    Angle::polygon

{{#invoke:Protection banner|main}} {{#invoke:Hatnote|hatnote}} {{ safesubst:#invoke:Unsubst||\$N=Refimprove |date=__DATE__ |\$B= {{#invoke:Message box|ambox}} }} In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or right angles).<ref>Weisstein, Eric W. "Square." From MathWorld--A Wolfram Web Resource.</ref> It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted [itex]\square[/itex] ABCD.

The square is the n=2 case of the families of n-hypercubes and n-orthoplexes.

A square has Schläfli symbol {4}. A truncated square, t{4}, is an octagon, {8}. An alternated square, h{4}, is a digon, {2}.

Square sections
Intro  Characterizations  Perimeter and area  Properties  Coordinates and equations  Construction   Symmetry  Other facts  Squares inscribed in triangles  Squaring the circle  Non-Euclidean geometry  Crossed square  Graphs  See also  References  External links

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