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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The psychologist Adolf Zeising noted that the golden ratio appeared in phyllotaxis and argued from these patterns in nature that the golden ratio was a universal law. [92] Zeising wrote in 1854 of a universal orthogenetic law of "striving for beauty and completeness in the realms of both nature and art". [93]

  3. List of works designed with the golden ratio - Wikipedia

    en.wikipedia.org/wiki/List_of_works_designed...

    Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. [1] The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek letter φ .

  4. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

  5. Bianchet - Wikipedia

    en.wikipedia.org/wiki/Bianchet

    Bianchet is the first watchmaking company to have developed its entire watch movement architecture and watch cases using the golden ratio of 1.618 and the Fibonacci sequence as a design basis. It is also the first company to have developed a tonneau-shaped watch in carbon capable of resisting a pressure of 10ATM or 100 meters of water depth ...

  6. Jay Hambidge - Wikipedia

    en.wikipedia.org/wiki/Jay_Hambidge

    Dynamic symmetry is a proportioning system and natural design methodology described in Hambidge's books. The system uses dynamic rectangles, including root rectangles based on ratios such as √ 2, √ 3, √ 5, the golden ratio (φ = 1.618...), its square root (√ φ = 1.272...), and its square (φ 2 = 2.618....), and the silver ratio (=).

  7. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    Several properties and common features of the Penrose tilings involve the golden ratio = + (approximately 1.618). [31] [32] This is the ratio of chord lengths to side lengths in a regular pentagon, and satisfies φ = 1 + 1/ φ.

  8. Kepler triangle - Wikipedia

    en.wikipedia.org/wiki/Kepler_triangle

    The ratio of the progression of side lengths is , where = (+) / is the golden ratio, and the progression can be written: ::, or approximately 1 : 1.272 : 1.618. Squares on the edges of this triangle have areas in another geometric progression, 1 : φ : φ 2 {\displaystyle 1:\varphi :\varphi ^{2}} .

  9. Golden rhombus - Wikipedia

    en.wikipedia.org/wiki/Golden_rhombus

    The golden rhombus. In geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio: [1] = = + Equivalently, it is the Varignon parallelogram formed from the edge midpoints of a golden rectangle. [1]