List questions from golden-ratio

Published on 02 Mar 2018 - 23:33

796

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Golden Rectangle into Golden Rectangles

Published on 24 Mar 2026 - 22:06

169

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$\int\limits_{0}^{t}(\exp{(\sqrt{x}-x^2)} )^ \text{erf(x)}\ \text{d}x,$ VS golden ratio For $t\geq 2$ ,

Published on 20 Mar 2018 - 16:20

62

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Golden mean in this equation

Published on 21 Mar 2026 - 19:36

195

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On $3+\sqrt{11+\sqrt{11+\sqrt{11+\sqrt{11+\dots}}}}=\phi^4$ and friends

Published on 20 Mar 2026 - 1:00

450

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Prove that $\operatorname{fib}(n)$ is the closest integer to $\frac{\phi^{n}}{\sqrt{5}}$

Published on 01 Apr 2018 - 15:58

220

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Powers of the golden ratio

Published on 21 Mar 2026 - 18:03

488

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Fibonacci numbers and perfect squares

Published on 22 Mar 2026 - 4:16

133

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Why is $x$ always a perfect square?

Published on 22 Mar 2026 - 4:33

135

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Matrix satisfying $A-I = A^{-1}$

Published on 21 Mar 2026 - 22:27

125

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(Non-) Convergence of $\frac{1}{n} \sum_{k=0}^{n - 1} \exp\left(2i \pi [\frac{3 + \sqrt{5}}{2}]^k\right)$ when $n \to +\infty$

Published on 22 Mar 2026 - 10:40

85

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How many ways can dominoes cover a $2 \times n$ rectangle? Justify proposed solution.

Published on 16 May 2018 - 12:35

537

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Growth factor of the golden spiral

Published on 21 Mar 2026 - 23:39

1.9k

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Golden Ratio in trigonometry

Published on 22 Mar 2026 - 2:18

219

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Finding the exact value of $\sin 30°$ using golden ratio

Published on 10 Jun 2018 - 13:43

List Question

Are $\varphi$ and $\varphi^3$ the only powers of $\varphi$ that are also metallic ratios?

Golden Rectangle into Golden Rectangles

$\int\limits_{0}^{t}(\exp{(\sqrt{x}-x^2)} )^ \text{erf(x)}\ \text{d}x,$ VS golden ratio For $t\geq 2$ ,

Golden mean in this equation

On $3+\sqrt{11+\sqrt{11+\sqrt{11+\sqrt{11+\dots}}}}=\phi^4$ and friends

Prove that $\operatorname{fib}(n)$ is the closest integer to $\frac{\phi^{n}}{\sqrt{5}}$

Powers of the golden ratio

Fibonacci numbers and perfect squares

Why is $x$ always a perfect square?

Matrix satisfying $A-I = A^{-1}$

(Non-) Convergence of $\frac{1}{n} \sum_{k=0}^{n - 1} \exp\left(2i \pi [\frac{3 + \sqrt{5}}{2}]^k\right)$ when $n \to +\infty$

How many ways can dominoes cover a $2 \times n$ rectangle? Justify proposed solution.

Growth factor of the golden spiral

Golden Ratio in trigonometry

Finding the exact value of $\sin 30°$ using golden ratio

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