Golden Ratio: Difference between revisions

Golden Ratio (view source)

Revision as of 23:08, 24 January 2016

5 bytes added , 24 January 2016

no edit summary

Lisa

Bureaucrats, Administrators

36,349

edits

@@ Line 1: / Line 1: @@
 [[File:330px-Golden ratio line.svg.png|thumb|Golden Ratio]]
-In mathematics, two quantities are in the [[Golden Ratio]] if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. [[Fibonacci]] spirals, [[Golden Spiral]]s and [[Golden Ratio]] based spirals often appear in living organisms. The Golden Ratio is also found in geometry, appearing in basic constructions of an equilateral triangle, square and pentagon placed inside a circle, as well as in more complex three-dimensional solids such as [[Platonic Solids|dodecahedrons]], [[Platonic Solids|icosahedrons]] and [[Buckyballs]].
+In mathematics, two quantities are in the [[Golden Ratio]] if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. The [[Golden Ratio]] based spirals, [[Fibonacci]] spirals, and [[Golden Spiral]]s often appear in living organisms. The Golden Ratio is also found in geometry, appearing in basic constructions of an equilateral triangle, square and pentagon placed inside a circle, as well as in more complex three-dimensional solids such as [[Platonic Solids|dodecahedrons]], [[Platonic Solids|icosahedrons]] and [[Buckyballs]].
 There is a special relationship between the [[Golden Ratio]] and [[Fibonacci]] Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it). When we take any two successive [[Fibonacci]] Numbers, one after the other, their ratio is very close to the [[Golden Ratio]]. This is called an approximation or limit value in calculus.