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  2. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    The rhombus has a square as a special case, and is a special case of a kite and parallelogram.. In plane Euclidean geometry, a rhombus (pl.: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length.

  3. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    In the case of an orthodiagonal quadrilateral (e.g. rhombus, square, and kite), this formula reduces to = since θ is 90°. The area can be also expressed in terms of bimedians as [16] = ⁡, where the lengths of the bimedians are m and n and the angle between them is φ.

  4. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Johannes Kepler in Harmonices Mundi (1618) named this polyhedron a rhombicosidodecahedron, being short for truncated icosidodecahedral rhombus, with icosidodecahedral rhombus being his name for a rhombic triacontahedron.

  5. Orthodiagonal quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Orthodiagonal_quadrilateral

    A square is a limiting case of both a kite and a rhombus. Orthodiagonal equidiagonal quadrilaterals in which the diagonals are at least as long as all of the quadrilateral's sides have the maximum area for their diameter among all quadrilaterals, solving the n = 4 case of the biggest little polygon problem.

  6. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    rhombus: In Euclidean plane geometry, ... The formula for the perimeter of a rectangle The area of a rectangle is the product of the length and width.

  7. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    Another area formula, for two sides B and C and angle θ, is K = B ⋅ C ⋅ sin ⁡ θ . {\displaystyle K=B\cdot C\cdot \sin \theta .\,} Provided that the parallelogram is not a rhombus, the area can be expressed using sides B and C and angle γ {\displaystyle \gamma } at the intersection of the diagonals: [ 9 ]

  8. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    Additionally, if a convex kite is not a rhombus, there is a circle outside the kite that is tangent to the extensions of the four sides; therefore, every convex kite that is not a rhombus is an ex-tangential quadrilateral. The convex kites that are not rhombi are exactly the quadrilaterals that are both tangential and ex-tangential. [16]

  9. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The formula ⁠ = + / ⁠ can be ... A golden rhombus is a rhombus whose diagonals are in proportion to the golden ratio, most commonly ...