rhombus

Also known as equilateral quadrilateral, diamond, lozenge, rhombuses, rhombi, equilateral parallelogram

280px|thumb|The rhombus has a square as a special case, and is a special case of a Kite (geometry)|kite and [[parallelogram.]]

AI overview

A rhombus is a four-sided shape where all four sides are equal in length and opposite sides are parallel to each other. It's a useful geometric form that includes the square as a special case and serves as a building block for understanding other shapes like kites and parallelograms.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Polygon.name: Rhombus
Polygon.image: rhombus.svg
Polygon.caption: A rhombus in two different orientations
Polygon.type: quadrilateral, trapezoid, parallelogram, kite
Polygon.edges: 4
Polygon.symmetry: Dihedral (D2), [2], (*22), order 4
Polygon.schläfli: { } + { }{2α}
Polygon.area: K = \frac{p \cdot q}{2} (half the product of the diagonals)
Polygon.dual: rectangle
Polygon.properties: convex, isotoxal

via Wikipedia infobox

Wikidata facts

Image: Rhombus.svg

Show 1 more fact

Commons category: Rhombi

Sources (3)

via Wikidata · CC0

~10 min read

Article

14 sections

Contents

Etymology
Characterizations
Basic properties
Diagonals
Inradius
Area
Dual properties
Cartesian equation
Other properties
As the faces of a polyhedron
See also
Notes
References
External links

{{Infobox Polygon | name = Rhombus | image = rhombus.svg | caption = A rhombus in two different orientations | type = quadrilateral, trapezoid, parallelogram, kite | edges = 4 | symmetry = Dihedral (D2), [2], (*22), order 4 | coxeter = | schläfli = { } + { }{2α} | area = K = \frac{p \cdot q}{2} (half the product of the diagonals) | dual = rectangle | properties = convex, isotoxal}} 280px|thumb|The rhombus has a square as a special case, and is a special case of a Kite (geometry)|kite and [[parallelogram.]]

In geometry, a rhombus (: 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.