Rhombus
Quadrilateral with sides of equal length / From Wikipedia, the free encyclopedia
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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[1]—also see Polyiamond), and the latter sometimes refers specifically to a rhombus with a 45° angle.
Rhombus | |
---|---|
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 |
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.[2]