Rhombus

In geometry, a rhombus (also known as a rhomb) is a quadrilateral in which all of the sides are of equal length. More colloquially it may be described as a diamond or lozenge shape.

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In any rhombus, opposite sides will be parallel. Thus, the rhombus is a special case of the parallelogram. One suggestive analogy is that the rhombus is to the parallelogram as the square is to the rectangle. If all the angles of a rhombus are right angles, it is then a rectangle and a square.

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The rhombus has the same symmetry as the rectangle (with symmetry group D2, the Klein four-group) and is its dual: the vertices of one correspond to the sides of the other.

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A rhombus in the plane has five degrees of freedom: one for the shape, one for the size, one for the orientation, and two for the position.

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Geometry: Geometry (Greek Γεωμετρια, geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric c...

Quadrilateral: Other uses: Quadrilateral (disambiguation)...

Parallel: The term Parallel has a number of important meanings:...