Rhombus (original) (raw)
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A rhombus is 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. A rhombus with 
is sometimes called a lozenge.
The polygon diagonals 
and 
of a rhombus are perpendicular and satisfy
 |
(1) |
|---|
The diagonals are related to the opening angle 
by
The area of a rhombus is given by
The rhombus is a tangential quadrilateral with 
, and so has inradius
See also
Diamond, Golden Rhombus, Harborth's Tiling, Kite,Lozenge, Necker Cube,Parallelogram, Quadrilateral,Rhombic Dodecahedron, Rhombic Hexecontahedron, Rhombic Icosahedron,Rhombic Triacontahedron, Rhombohedron,Rhomboid, Skew Quadrilateral,Trapezium, Trapezoid
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References
Beyer, W. H. (Ed.). CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 123, 1987.Harris, J. W. and Stocker, H. "Rhombus." §3.6.4 in Handbook of Mathematics and Computational Science. New York: Springer-Verlag, pp. 83-84, 1998.Kabai, S. and Bérczi, S. Rhombic Structures: Geometry and Modeling from Crystals to Space Stations. Püsspökladány, Hungary: Uniconstant, 2015.
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Cite this as:
Weisstein, Eric W. "Rhombus." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Rhombus.html