Kneser tetration for base e for Complex Heights: https://www.desmos.com/calculator/dqfbk36gk2
I have been researching tetration for 4 months. I have been trying to make a numerical approximation of Kneser Tetration for Complex heights in Desmos. I achieved this through some numerical techniques I discovered after a bit of experimenting. T(x) is the Approximation of Kneser tetration, and works for imag(x) between -5 and 5(imag(x) basically finds the imaginary part of x). S(x) is the Approximation of the Super-Logarithm and works for imag(x) between -1 and 1. It is quite Accurate with the worst error i have found being around 10^-13. It runs at 600ms in the standard viewport. Just don't turn on the graph for S(x) or T(x), or it will affect performance severely. This Project was possible due to fatou.gp made by the tetration forum user sheldonism. Also the polynomials were calculated in PARI/GP(an extremely accurate calculator.
The link for the Project is: https://www.desmos.com/calculator/dqfbk36gk2
This took a day to make.
