# Rhombus

Rhombus
Rank2
TypeIsotopic
SpaceSpherical
Bowers style acronymRhomb
Info
SymmetryA1×A1, order 4
ArmyRhomb
RegimentRhomb
Elements
Edges4
Vertices2+2
Measures (edge length 1, angle α)
Inradius${\displaystyle \frac{\sin\alpha}{2}}$
Area${\displaystyle \sin\alpha}$
AnglesAcute: ${\displaystyle \alpha}$
Obtuse: ${\displaystyle \pi-\alpha}$
Height${\displaystyle \sin\alpha}$
Central density1
Euler characteristic0
Related polytopes
DualRectangle
ConjugateRhombus
Properties
ConvexYes
OrientableYes
NatureTame

The rhombus, or rhomb, is a quadrilateral with all four edges of the same length. It has two different angles, and its diagonals are always at right angles. It is a special case of a parallelogram.

The two angles of a rhombus add up to 180°, and one is always acute, the other is obtuse. Rhombi occur as faces in two of the Catalan solids, namely the rhombic dodecahedron and rhombic triacontahedron.

A rhombus can be considered to be the tegum product of two dyads of different lengths. These two dyads then form the two diagonals of the rhombus.