New posts in Golden Ratio

Prove that $\left \lfloor \frac{1+\lfloor na+1/a\rfloor}{a} \right \rfloor=n$

Why does this process map every fraction to the golden ratio?

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

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

$a,b \in \mathbb Z$ we have that $a+ b\phi \in \mathbb Z[\phi]^* \iff a^2 +ab-b^2 = \pm 1$

Studying on this sum interesting $\sum_{n=1}^{\infty}\frac{{2n \choose n }}{4^n n}$

A Series For the Golden Ratio

Does $a_{n}/a_{n-1}$ converge to the golden ratio for all Fibonacci-like sequences?

"Golden Ratio" for $n$ subsegments

Proof of golden rectangle inside an Icosahedron