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\begin{figure}\begin{center}\BoxedEPSF{Rhombus.epsf scaled 730}\end{center}\end{figure}

A Quadrilateral with both pairs of opposite sides Parallel and all sides the same length, i.e., an equilateral Parallelogram. The word Rhomb is sometimes used instead of rhombus, and a rhombus is sometimes also called a diamond. The Diagonals $p$ and $q$ of a rhombus are perpendicular and satisfy


The Area of a rhombus is given by

A={\textstyle{1\over 2}}pq.

A rhombus whose Acute Angles are 45° is called a Lozenge.

See also Diamond, Lozenge, Parallelogram, Quadrilateral, Rhombic Dodecahedron, Rhombic Icosahedron, Rhombic Triacontahedron, Rhomboid, Skew Quadrilateral, Trapezium, Trapezoid


Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 123, 1987.

© 1996-9 Eric W. Weisstein