Brainee Posted September 27, 2023 Share Posted September 27, 2023 What is phi used for more than the golden ratio? What is the golden ratio? Link to comment Share on other sites More sharing options...
joigus Posted September 27, 2023 Share Posted September 27, 2023 The golden ratio is the positive root of x2=x+1 That is (1+sqrt(5))/2 https://en.wikipedia.org/wiki/Golden_ratio In a certain sense, it is the most irrational number, meaning that its continued-fraction approximations are as bad as can be. The letter phi is used for many things. It would be futile to try to give a complete list. Link to comment Share on other sites More sharing options...
Brainee Posted September 27, 2023 Author Share Posted September 27, 2023 What is phi used for in calculus? Link to comment Share on other sites More sharing options...
studiot Posted September 27, 2023 Share Posted September 27, 2023 26 minutes ago, Brainee said: What is phi used for more than the golden ratio? Phi is most used for a general or unknown angle, both in calculus and other uses of angles in Mathematics. The Golden Ratio is also known as the Golden Section and appears in mny places in maths and natural science, as Joigus says. Associated with the Golden section or ratio is the Golden Angle. Link to comment Share on other sites More sharing options...
TheVat Posted September 27, 2023 Share Posted September 27, 2023 I like that phi is the limit of ratios of successive Fibonacci numbers. What's cool is that the series will converge on phi with any starting value. Link to comment Share on other sites More sharing options...
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