New posts in Power Towers

Convergence of probabilistic power tower $e^{\pm e^{\pm e^{...}}}$

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

The units digit of a power tower of consecutive numbers, from 2019 to 1

Nested powers of $\sqrt 2$ has a solution different from its limit. What does this mean?

Solutions of $a^{a^x}=x$ for fixed $a>0$

A new interesting pattern to $i\uparrow\uparrow n$ that looks cool (and $z\uparrow\uparrow x$ for $z\in\mathbb C,x\in\mathbb R$)

What is the maximum convergent $x$ in the power tower $x^{x^{x^{x\cdots}}}$?

Why do $x^{x^{x^{\dots}}}=2$ and $x^{x^{x^{\dots}}}=4$ have the same positive root $\sqrt 2$?

An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?

What is the derivative of $x!^{x!^{x!^{x!^{x!^{x!^{x!^{.{^{.^{.}}}}}}}}}}$