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[[Image:Rhombus.svg|300px|thumb|A rhombus.]]

[[File:Rhombus.svg|thumb|A rhombus]]

A '''rhombus''' is a [[parallelogram]] with all sides equal in length. A rhombus with all angles equal is called a [[square (geometry)|square]]. The word ''rhombus'' comes from the [[Greek language|Greek]] word ''rhombos'', meaning "spinning top".<ref>{{Cite web

A '''rhombus''' is a unique geometric [[shape]] characterized by having four sides of equal length. The word ''rhombus'' comes from the [[Greek language|Greek]] word ''rhombos'', meaning "spinning top".<ref>{{Cite web|title=Online Etymology Dictionary|url=http://www.etymonline.com/index.php?search=rhombus&searchmode=none|website=etymonline.com}}</ref> While the angles within a rhombus are not always 90 degrees, one important property is that opposite angles are always equal. This gives the rhombus a certain symmetry, even though it differs from a square, which has four 90-degree angles. The diagonals of a rhombus, which are the lines that connect opposite corners, cross each other at a 90-degree [[angle]]. Additionally, these diagonals not only intersect at right angles but also bisect (or split) the angles of the rhombus in half, creating smaller, equal angles at each corner.

|url= http://www.etymonline.com/index.php?search=rhombus&searchmode=none

== Finding the Area of a Rhombus ==

The area of a rhombus can be easily calculated using the following formula:

|work=etymonline.com

 

}}</ref> A  rhombus is sometimes called a diamond, but not all rhombi are diamond shaped.

 

To find the perimeter of a rhombus, just add up all the sides. Also opposite sides are parallel and opposite angles are equal. Another interesting thing is that the diagonals (dashed lines in second figure) meet in the middle at a right angle.

 

 

Here, \(d_1\) and \(d_2\) represent the lengths of the two diagonals. Since the diagonals bisect each other at right angles, they essentially divide the rhombus into four right-angled triangles, and this formula reflects that division.

Although a rhombus and a [[square]] both have four sides of equal length, there are key differences between the two. In a rhombus, the angles are not necessarily 90 degrees, whereas a square has four right angles. In fact, while a square is a special case of a rhombus (where all angles are 90 degrees), not all rhombuses are squares. This distinction makes the rhombus a more flexible shape, with a wider range of applications.

Rhombuses are often used in [[design]], [[art]], and [[architecture]] due to their symmetry and aesthetic appeal. The shape’s equal sides and distinctive angles can be seen in various patterns, tiles, and decorative elements in buildings. The fact that the diagonals bisect the angles at right angles adds to the visual interest and symmetry, making the rhombus a popular choice in many creative fields.

== Rhombus Media ==

== Rhombus Media ==

<gallery widths='160px' heights='100%' mode='traditional' caption=''>

<gallery widths='160px' heights='100%' mode='traditional' caption=''>

File:Symmetries of square.svg|The rhombus has a square as a special case, and is a special case of a [[Kite (geometry)|kite]] and [[parallelogram]].

File:Symmetries of square.svg|The rhombus has a square as a special case, and is a special case of a [[Kite (geometry)|kite]] and [[parallelogram]].

File:Rhombus1.svg|A rhombus. Each angle marked with a black dot is a right angle. The height ''h'' is the perpendicular distance between any two non-adjacent sides, which equals the diameter of the circle inscribed. The diagonals of lengths ''p'' and ''q'' are the red dotted line segments.

File:Rhombus1.svg|A rhombus. Each angle marked with a black dot is a right angle. The height ''h'' is the perpendicular distance between any two non-adjacent sides, which equals the diameter of the circle inscribed. The diagonals of lengths ''p'' and ''q'' are the red dotted line segments.

File:Isohedral tiling p4-55.png|Isohedral tiling

File:Lattice of rhombuses.svg|#000000* * B5E61D * FFF200

File:Isohedral tiling p4-51c.png|rhombic tiling with 30-60 rhombi

File:Isohedral tiling p4-51c.svg|Rhombic tiling with 30-60 rhombi

File:Rhombic star tiling.png|en:Rhombille tiling, all faces same color

File:Rhombic star tiling.svg|Rhombille tiling, all faces same color

File:TrigonalTrapezohedron.svg|A trigonal trapezohedron

File:TrigonalTrapezohedron.svg|A trigonal trapezohedron

File:Rhombicdodecahedron.jpg|:Rhombicdodecahedron

File:Rhombicdodecahedron.jpg|:Rhombicdodecahedron

File:Rhombictriacontahedron.jpg|:Rhombictriacontahedron

File:Rhombictriacontahedron.svg|:Rhombictriacontahedron

File:Rhombic icosahedron.png|Image of Rhombic icosahedron

File:Rhombic icosahedron.png|Image of Rhombic icosahedron

</gallery>

</gallery>

== References ==

== References ==

[[Category:Polygons]]

[[Category:Polygons]]