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# Puzzles

## Archive

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## Complex Squares

For which complex numbers, $$z$$, are $$\mathrm{Re}(z^2)$$ and $$\mathrm{Im}(z^2)$$ both positive?

## i to the Power of i

If $$i=\sqrt{-1}$$, what is the value of $$i^i$$?
© Matthew Scroggs 2017