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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The ratio of Fibonacci numbers ⁠ ⁠ and ⁠ ⁠, each over ⁠ ⁠ digits, yields over ⁠ ⁠ significant digits of the golden ratio. The decimal expansion of the golden ratio ⁠ φ {\displaystyle \varphi } ⁠ [ 1 ] has been calculated to an accuracy of ten trillion ( ⁠ 1 × 10 13 = 10,000,000,000,000 {\displaystyle \textstyle 1\times ...

  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 triangle (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Golden_triangle_(mathematics)

    A golden triangle. The ratio a/b is the golden ratio φ. The vertex angle is =.Base angles are 72° each. Golden gnomon, having side lengths 1, 1, and .. A golden triangle, also called a sublime triangle, [1] is an isosceles triangle in which the duplicated side is in the golden ratio to the base side:

  5. 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.

  6. Golden ratio base - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio_base

    Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number + ≈ 1.61803399 symbolized by the Greek letter φ) as its base. It is sometimes referred to as base-φ , golden mean base , phi-base , or, colloquially, phinary .

  7. The Greek Golden Ratio Phi (1.618) is a formula representing aesthetic harmony that has guided proportions in art and architecture for centuries, including in works by Leonardo Da Vinci. Dr.

  8. Metallic mean - Wikipedia

    en.wikipedia.org/wiki/Metallic_mean

    The term "bronze ratio" (=) (Cf. Golden Age and Olympic Medals) and even metals such as copper (=) and nickel (=) are occasionally found in the literature. [ 2 ] [ 3 ] In terms of algebraic number theory , the metallic means are exactly the real quadratic integers that are greater than 1 {\displaystyle 1} and have − 1 {\displaystyle -1} as ...

  9. Is the Golden Ratio the Missing Piece in Your Financial Plan?

    www.aol.com/using-golden-ratio-finance-203347825...

    The golden ratio budget echoes the more widely known 50-30-20 budget that recommends spending 50% of your income on needs, 30% on wants and 20% on savings and debt. The “needs” category covers ...