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). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted . 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}.

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