List questions from golden-ratio

Published on 30 Jan 2024 - 13:15

125

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The Golden ellipse

Published on 02 Feb 2024 - 13:08

57

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Is the Imaginary Golden Ratio Unique?

Published on 04 Feb 2024 - 18:54

84

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Why are there no identities for the golden ratio?

Published on 07 Feb 2024 - 22:00

1.2k

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Show by hand : $e^{e^2}>1000\phi$

Published on 25 Mar 2026 - 5:59

136

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Why is a=43 an exception?

Published on 23 Feb 2026 - 9:59

169

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Deciphering Salvador Dali's geometric formula $\frac{R}{2} \sqrt{n-2 \sqrt{5}}$ in "Leda Atomica"

Published on 14 Mar 2024 - 17:39

114

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Finding functions $h$ satisfying $h(h(n))+h(n+1) = n+2$ for all natural $n$. Why does the Golden Ratio appear?

Published on 19 Mar 2024 - 17:43

31

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Closed expression of a specific splitting of a continued fraction

Published on 21 Mar 2024 - 7:17

2.1k

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How was this approximation of $\pi$ involving $\sqrt{5}$ arrived at?

Published on 05 Jan 2015 - 19:57

359

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Why is the radian golden angle $(1-1/\varphi)\cdot2\pi=\pi(3-\sqrt5)\approx2.39996$ so close to a 'nice' rational number?

Published on 06 Jan 2015 - 7:20

3.2k

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Why does every "fibonacci like" series converge to $\phi$?

Published on 10 Jan 2015 - 0:52

1.2k

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Why is it that $\frac{\sin 30}{\sin 18}$ is equal to the golden ratio?

Published on 26 Jan 2015 - 18:03

52

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Coefficients of the polynomials generated by $f_0=x,\ f_{i+1}=f_i\pm\dfrac1{f_i}$.

Published on 29 Jan 2015 - 8:12

297

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$ab-(a+b)(a-b)=0$ and the Golden ratio.

Published on 30 Jan 2015 - 21:00

List Question

Ratio of Fibonacci numbers

The Golden ellipse

Is the Imaginary Golden Ratio Unique?

Why are there no identities for the golden ratio?

Show by hand : $e^{e^2}>1000\phi$

Why is a=43 an exception?

Deciphering Salvador Dali's geometric formula $\frac{R}{2} \sqrt{n-2 \sqrt{5}}$ in "Leda Atomica"

Finding functions $h$ satisfying $h(h(n))+h(n+1) = n+2$ for all natural $n$. Why does the Golden Ratio appear?

Closed expression of a specific splitting of a continued fraction

How was this approximation of $\pi$ involving $\sqrt{5}$ arrived at?

Why is the radian golden angle $(1-1/\varphi)\cdot2\pi=\pi(3-\sqrt5)\approx2.39996$ so close to a 'nice' rational number?

Why does every "fibonacci like" series converge to $\phi$?

Why is it that $\frac{\sin 30}{\sin 18}$ is equal to the golden ratio?

Coefficients of the polynomials generated by $f_0=x,\ f_{i+1}=f_i\pm\dfrac1{f_i}$.

$ab-(a+b)(a-b)=0$ and the Golden ratio.

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