2007-03-18 02:14:27 · 5 answers · asked by digger 1 in Science & Mathematics ➔ Mathematics
This is (1 + sqrt5)/2 which is approximately 1.618. It crops up in many ways in nature, architecture and other fields. One common application is to do with the Fibonacci sequence . This is 1, 1, 2, 3, 5, 8, 13, 21, 35, etc. If you take the ratio of each term to the previous one then this works towards the golden ratio as a limit. In fact the terms of the Fibonacci sequence can be given as a formula involving the golden ratio.
2007-03-18 02:17:50 · answer #1 · answered by Anonymous · 1⤊ 0⤋
The golden ratio is an irrational number, approximately 1.618, that possesses many interesting properties. Shapes defined by the golden ratio have long been considered aesthetically pleasing in Western cultures, reflecting nature's balance between symmetry and asymmetry and the ancient Pythagorean belief that reality is a numerical reality, except that numbers were not units as we define them today, but were expressions of ratios. The golden ratio is still used frequently in art and design
2007-03-18 02:20:59 · answer #2 · answered by Tashhhhh 1 · 1⤊ 0⤋
The 'Golden Ratio' is 1:1.618033989......
'phi' = (1 + Sq Rt 5)/ 2
It approximates as 1 : 1 2/3
It is found in nature during leaf division in plants.
It has been used since Classical Times where the ratio was used in architecture.
2007-03-21 10:56:00 · answer #3 · answered by lenpol7 7 · 0⤊ 0⤋
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2007-03-18 02:18:49 · answer #4 · answered by babyonlyne 3 · 0⤊ 0⤋
i`ve no idea sorry
2007-03-18 02:32:54 · answer #5 · answered by SYDK 2 · 0⤊ 2⤋