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complex powers of complex powers

This interactive figure allows you to explore the sequence 1, z, z^z, z^(z^z), z^(z^(z^z)),... There are 100 terms displayed.

inspired by...

"Spiral Formations from Iterated Exponentiation" from the Wolfram Demonstrations Project  http://demonstrations.wolfram.com/SpiralFormationsFromIteratedExponentiation/