Green Eggs and HAM: Tetration for ALL bases, real and complex, now possible?

[sheldonison]

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There is a small corner in the real part (red curve). This may slow down convergence of a Fourier series. The rescaled mapping has a much nastier spike, however, and so doesn't seem very useful

Yeah, the discontinuity in the derivative means that very large numbers of terms would be required in the fourier series. It doesn't seem like a terribly useful idea. With 8,192 terms, I was able to get accuracy to 1E-7 or so.
Mapping an infinite strip to a unit circle seemed like a good idea, but in practice, not usable.
- Sheldon