Rhombus

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rhombus
Rhombus.svg
Twa rhombi.
Type quadrilateral, bipyramid
Edges an vertices 4
Schläfli seembol { } + { } or 2{ }
Coxeter diagram CDel node f1.pngCDel 2.pngCDel node f1.png
Symmetry group Dih2, [2], (*22), order 4
Aurie \tfrac{pq}{2}
Dual polygon rectangle
Properties convex, isotoxal

In Euclidean geometry, a rhombus (◊), plural rhombi or rhombuses, is a simple (non-self-intersectin) quadrilateral whose fower sides aw hae the same length. Anither name is equilateral quadrilateral, syne equilateral means that aw o its sides are equal in length. The rhombus is eften cried a diamond, efter the diamonds suit in playing cards, or a lozenge, tho the umwhile sometimes refers specifically tae a rhombus wi a 60° angle (see Polyiamond), an the latter sometimes refers specifically tae a rhombus wi a 45° angle.

Every rhombus is a parallelogram, an a rhombus wi richt angles is a square. [1][2]

References[eedit | eedit soorce]

  1. Note: Euclid's oreeginal defineetion an some Inglish dictionaries' defineetion o rhombus excludes squares, but modren mathematicians prefer the inclusive defineetion.
  2. Weisstein, Eric W., "Square", MathWorld. inclusive usage