Rhombus
| Rhombus | |
|---|---|
A rhombus in two different orientations | |
| Type | quadrilateral, trapezoid, parallelogram, kite |
| Edges and vertices | 4 |
| Schläfli symbol | { } + { } {2α} |
| Coxeter–Dynkin diagrams | |
| Symmetry group | Dihedral (D2), [2], (*22), order 4 |
| Area | (half the product of the diagonals) |
| Properties | convex, isotoxal |
| Dual polygon | rectangle |
In geometry, a rhombus (pl.: rhombi or rhombuses) is an equilateral quadrilateral, a quadrilateral whose four sides all have the same length. Other names for rhombus include diamond, lozenge, and calisson.
Every rhombus is a simple polygon (having no self-intersections). A rhombus is a special case of a parallelogram and a kite. A rhombus with right angles is a square. A non-square rhombus has two opposite acute angles and two opposite obtuse angles.