Puzzles

Mathedemo

Eye of the $\pi$ger

This first problem might surprise you. Hint: the solution might not be real. $$e^{0.5 \pi e^{0.5 \pi e^{... } } } = \ ?$$

Radius of the lost arc

Can you find it, in terms of $a$ and $b$, without using pen and paper?

More to follow...

Proposed solutions welcome, add them in the comments below!

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