Zorba the Hutt (zorbathut) wrote,
Zorba the Hutt

incidentally, the graph of (-1)^z is a corkscrew, if y is real and x is imaginary. Or vice-versa.

I'd always theorized on that, but I'd never managed to test it before today.

(I mean, it makes sense. (-1)^2 is 1, and (-1)^3 is -1, and what happens between that? It's certainly not going to approach 0. It only makes sense for || (-1)^x || == 1 for all values of x, therefore a corkscrew is the only possible shape. QED.)
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