List questions from golden-ratio

Published on 11 Apr 2026 - 2:52

800

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Golden Rectangle into Golden Rectangles

Published on 29 Apr 2026 - 12:50

172

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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 17 Apr 2026 - 6:54

66

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Golden mean in this equation

Published on 10 Apr 2026 - 6:06

202

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

Published on 02 May 2026 - 5:19

453

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

Published on 15 Apr 2026 - 17:14

225

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Powers of the golden ratio

Published on 30 Apr 2026 - 6:19

492

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Fibonacci numbers and perfect squares

Published on 11 Apr 2026 - 17:45

137

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Why is $x$ always a perfect square?

Published on 16 Apr 2026 - 1:43

139

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

Published on 12 Apr 2026 - 11:14

131

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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 05 May 2026 - 7:37

88

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

Published on 13 Apr 2026 - 5:42

541

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Growth factor of the golden spiral

Published on 13 Apr 2026 - 7:30

1.9k

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Golden Ratio in trigonometry

Published on 09 Apr 2026 - 9:30

222

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

Published on 11 Apr 2026 - 22:40

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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