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Does a spiral generated using Fibonacci squares do a good job of approximating a Golden Spiral?

score 298 · Answer 1 · 2026-04-09 05:28:44

298

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Does a spiral generated using Fibonacci squares do a good job of approximating a Golden Spiral?

Published on 09 Apr 2026 - 5:28

score 618 · Answer 2 · 2026-04-14 12:07:27

618

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Prove golden ratio is irrational

Published on 14 Apr 2026 - 12:07

score 296 · Answer 3 · 2026-04-15 10:45:47

296

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A sequence that converges to the golden ratio

Published on 15 Apr 2026 - 10:45

score 2.1k · Answer 4 · 2026-04-15 17:57:16

2.1k

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Fibonacci numbers and golden ratio: $\Phi = \lim \sqrt[n]{F_n}$

Published on 15 Apr 2026 - 17:57

score 20.7k · Answer 5 · 2026-04-15 16:17:02

20.7k

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Fibonacci Sequence, Golden Ratio

Published on 15 Apr 2026 - 16:17

score 1.8k · Answer 6 · 2026-04-14 19:41:45

1.8k

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Generalizations of the golden and silver ratios, and their significance

Published on 14 Apr 2026 - 19:41

score 584 · Answer 7 · 2026-04-15 14:38:45

584

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What's the value of $n+\frac{n}{n+\frac{n}{n+\frac{n}{\ddots}}}$ for $n\in\mathbb{C}$?

Published on 15 Apr 2026 - 14:38

score 1.7k · Answer 8 · 2026-04-14 05:37:58

1.7k

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Rational aproximations of golden ratio

Published on 14 Apr 2026 - 5:37

score 426 · Answer 9 · 2026-04-17 14:00:33

426

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Function relating Euler's constant and the golden ratio

Published on 17 Apr 2026 - 14:00

score 452 · Answer 10 · 2026-04-13 01:08:04

452

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Proof that golden angle successively divides the largest gap by the golden ratio?

Published on 13 Apr 2026 - 1:08

score 293 · Answer 11 · 2026-04-17 14:51:15

293

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Generalizations of $\sum_{m=3n+2}^{\infty}\phi^m=\phi^{3n}$ and $\sum_{m=13n+1}^{\infty}(\sqrt2-1)^m=\dfrac{(\sqrt2-1)^{13n}}{\sqrt2}$

Published on 17 Apr 2026 - 14:51

score 2.8k · Answer 12 · 2026-04-15 15:31:23

2.8k

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What is golden ratio doing in this computer code?

Published on 15 Apr 2026 - 15:31

score 846 · Answer 13 · 2026-04-14 02:32:33

846

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Can I use the equality $\phi^2=\phi+1$ without proving it?

Published on 14 Apr 2026 - 2:32

score 2.5k · Answer 14 · 2026-04-15 22:18:39

2.5k

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$\pi$, $e$, $\phi$, and sunflowers

Published on 15 Apr 2026 - 22:18

score 467 · Answer 15 · 2026-04-16 06:11:03

467

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$\int_{0}^{\pi/2}\ln\left(1+4\sin^4 x\right)\mathrm{d}x$ and the golden ratio

Published on 16 Apr 2026 - 6:11

List Question

Does a spiral generated using Fibonacci squares do a good job of approximating a Golden Spiral?

Prove golden ratio is irrational

A sequence that converges to the golden ratio

Fibonacci numbers and golden ratio: $\Phi = \lim \sqrt[n]{F_n}$

Fibonacci Sequence, Golden Ratio

Generalizations of the golden and silver ratios, and their significance

What's the value of $n+\frac{n}{n+\frac{n}{n+\frac{n}{\ddots}}}$ for $n\in\mathbb{C}$?

Rational aproximations of golden ratio

Function relating Euler's constant and the golden ratio

Proof that golden angle successively divides the largest gap by the golden ratio?

Generalizations of $\sum_{m=3n+2}^{\infty}\phi^m=\phi^{3n}$ and $\sum_{m=13n+1}^{\infty}(\sqrt2-1)^m=\dfrac{(\sqrt2-1)^{13n}}{\sqrt2}$

What is golden ratio doing in this computer code?

Can I use the equality $\phi^2=\phi+1$ without proving it?

$\pi$, $e$, $\phi$, and sunflowers

$\int_{0}^{\pi/2}\ln\left(1+4\sin^4 x\right)\mathrm{d}x$ and the golden ratio

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