04/30/2010, 04:36 AM
(04/22/2010, 12:25 PM)bo198214 Wrote: Hey actually I never considered graph of tetration with complex bases. I would guess that it is somewhat distorted real tetration. But I think one would need contour plots, or complex color plots, to have a bigger picture.
I just finished the color graph of the complex tetration \( ^z (2.33 + 1.28i) \) using the same method as to generate the the graph on the real axis. Dang this took a long time to compute -- I'm gonna need to revise my program...
The scale runs from -10 to +10 on both axes (real = horizontal, imag = vertical). The white regions should have more detail in them, but due to overflow only limited detail is available.
What do you think?