Rhombus

In plane Euclidean geometry, a rhombus (pl.: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhombus is often called a "diamond", after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French sweet—also see Polyiamond), and the latter sometimes refers specifically to a rhombus with a 45° angle.

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	${\displaystyle K={\frac {p\cdot q}{2}}}$ (half the product of the diagonals)
Properties	convex, isotoxal
Dual polygon	rectangle

Every rhombus is simple (non-self-intersecting), and is a special case of a parallelogram and a kite. A rhombus with right angles is a square.