List questions from golden-ratio

Published on 17 Apr 2026 - 4:58

198

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Algorithm to find floors of multiples of the golden ratio

Published on 13 Apr 2026 - 7:57

669

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Why is $\cos(36°) = \frac{\phi}{2}$ where $\phi$ is the golden ratio?

Published on 15 Apr 2026 - 9:07

694

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Solving $d \cdot a^4 - 2 \cdot d^2 \cdot a^2 + d^3 - a^2 = 0$ for $d$

Published on 17 Apr 2026 - 3:01

154

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Find ratio of sides in touching pentagon problem

Published on 15 Apr 2026 - 12:13

52

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Show that if $x_{0}=1$ and $x_{n+1}=1+\frac{1}{x_n}$ then $|\varphi-x_n|\leq \frac{1}{\varphi^{n+1}}$ and $x_n\rightarrow \varphi$

Published on 16 Apr 2026 - 16:25

563

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Prove that this sequence converges to the golden ratio...

Published on 15 Apr 2026 - 12:37

692

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lengths of sides in golden ratio isosceles triangles

Published on 15 Apr 2026 - 7:58

1.7k

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Proving that ratio of two consecutive Fibonacci numbers to converges to golden ratio by induction

Published on 14 Apr 2026 - 13:47

302

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Line divides side of regular pentagon in Golden ratio

Published on 14 Apr 2026 - 5:43

1k

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Fibonacci sequence and other metallic sequences emerged in the form of fractions

Published on 15 Apr 2026 - 7:25

510

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Perfect Squares in Fibonacci Numbers

Published on 11 Apr 2026 - 3:36

88

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Knuth Euclid algorithm worst case

Published on 17 Apr 2026 - 6:58

363

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Fibonacci and golden ratio

Published on 10 May 2026 - 9:32

97

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Continuously Differentiable Functions of Dodecahedron Symmetry

Published on 10 May 2026 - 15:51

List Question

Which relation symbol goes between $F_m$ and $\phi^m$?

Algorithm to find floors of multiples of the golden ratio

Why is $\cos(36°) = \frac{\phi}{2}$ where $\phi$ is the golden ratio?

Solving $d \cdot a^4 - 2 \cdot d^2 \cdot a^2 + d^3 - a^2 = 0$ for $d$

Find ratio of sides in touching pentagon problem

Show that if $x_{0}=1$ and $x_{n+1}=1+\frac{1}{x_n}$ then $|\varphi-x_n|\leq \frac{1}{\varphi^{n+1}}$ and $x_n\rightarrow \varphi$

Prove that this sequence converges to the golden ratio...

lengths of sides in golden ratio isosceles triangles

Proving that ratio of two consecutive Fibonacci numbers to converges to golden ratio by induction

Line divides side of regular pentagon in Golden ratio

Fibonacci sequence and other metallic sequences emerged in the form of fractions

Perfect Squares in Fibonacci Numbers

Knuth Euclid algorithm worst case

Fibonacci and golden ratio

Continuously Differentiable Functions of Dodecahedron Symmetry

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