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.

Related Topics:
Geometry - Quadrilateral

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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.

Related Topics:
Parallel - Parallelogram - Square - Rectangle

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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.

Related Topics:
Symmetry - Symmetry group - Klein four-group - Dual

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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.

Related Topics:
Degrees of freedom - Orientation

~ ~ ~ ~ ~ ~ ~ ~ ~ ~