List questions from golden-ratio

Published on 22 Oct 2017 - 18:40

695

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Possible Pythagorean relation with Golden Ratio $ \phi^2+e^2 \approx \pi^2$

Published on 27 Oct 2017 - 18:36

1.7k

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Calculate the golden ratio of a song/time.

Published on 04 Nov 2017 - 18:46

116

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Find $\sum_{k=1}^nk\lfloor k\varphi\rfloor$, where $\varphi$ is golden ratio

Published on 08 Nov 2017 - 21:36

353

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Find (recursive formulas for) $\sum_{k=1}^n\lfloor k\varphi\rfloor^2$ and/or $\sum_{k=1}^nk\lfloor k\varphi\rfloor$

Published on 09 Nov 2017 - 15:57

343

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Finding the nth power of a matrix via change of basis

Published on 25 Nov 2017 - 17:22

2.2k

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Proof of golden rectangle inside an Icosahedron

Published on 26 Nov 2017 - 16:36

209

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"Golden Ratio" for $n$ subsegments

Published on 27 Nov 2017 - 23:56

86

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System of equations that is true just for Golden ratio

Published on 06 Dec 2017 - 20:46

212

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On the snub cube's $T^3-T^2-T=1$ and snub dodecahedron's $x^3-x^2-x=\phi$

Published on 07 Dec 2017 - 6:36

197

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Integral of 5 and $\phi$

Published on 12 Dec 2017 - 7:03

181

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On the tribonacci constant $T$ and $4\arctan\left(\frac1{\sqrt{T^3}}\right)+\arctan\Big(\frac1{\sqrt{(2T+1)^4-1}}\Big)=\frac{\pi}2$

Published on 12 Dec 2017 - 13:38

202

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simplify system of equations -- any relation with golden ratio?

Published on 22 Dec 2017 - 13:14

354

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Golden ratio - almost integer

Published on 25 Mar 2026 - 14:25

665

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Why is the fraction of a Fibonacci pair always the best estimation of the golden ratio in its range?

Published on 24 Dec 2017 - 11:51

List Question

A series with Fibonacci numbers and the golden ratio

Possible Pythagorean relation with Golden Ratio $ \phi^2+e^2 \approx \pi^2$

Calculate the golden ratio of a song/time.

Find $\sum_{k=1}^nk\lfloor k\varphi\rfloor$, where $\varphi$ is golden ratio

Find (recursive formulas for) $\sum_{k=1}^n\lfloor k\varphi\rfloor^2$ and/or $\sum_{k=1}^nk\lfloor k\varphi\rfloor$

Finding the nth power of a matrix via change of basis

Proof of golden rectangle inside an Icosahedron

"Golden Ratio" for $n$ subsegments

System of equations that is true just for Golden ratio

On the snub cube's $T^3-T^2-T=1$ and snub dodecahedron's $x^3-x^2-x=\phi$

Integral of 5 and $\phi$

On the tribonacci constant $T$ and $4\arctan\left(\frac1{\sqrt{T^3}}\right)+\arctan\Big(\frac1{\sqrt{(2T+1)^4-1}}\Big)=\frac{\pi}2$

simplify system of equations -- any relation with golden ratio?

Golden ratio - almost integer

Why is the fraction of a Fibonacci pair always the best estimation of the golden ratio in its range?

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