ENH: desmos [3d]: Support complex exponents; with i and/or a complex() function
Test equations for geogebra:
equation -- what I think it looks like
xi^2 -- Integer coordinate grid
e^xπi -- Unit circle with another little circle also about the origin (0,0)
e^(πi^x) -- crash / not responding: a(x)=e^(πi^(x))
though it seems to work with x in Z+
e**(x*pi*I)
e^(x π i^π) -- somewhat scale-invariant interposed spirals around a single point attractor. (Zoom in/out)
Only SageMath preprocesses Python to replace XOR (^) with exp() or **, so:
What methods for visualizing complex coordinate(s) are helpful?
You can map the complex coordinate into e.g. the z-axis; or is complex phase - as is necessary to model [qubit] wave functions psi - just another high-dimensional dimension to also visualize?
What is the nature of the test? Is this something that plotters are notoriously prone to misrendering? If so, then do they do so in any predictable way?
Test equations for geogebra:
Only SageMath preprocesses Python to replace XOR (^) with exp() or **, so: Sympy Gamma: https://gamma.sympy.org/Sympy Beta is SymPy Gamma compiled to WASM: https://github.com/eagleoflqj/sympy_beta
What methods for visualizing complex coordinate(s) are helpful? You can map the complex coordinate into e.g. the z-axis; or is complex phase - as is necessary to model [qubit] wave functions psi - just another high-dimensional dimension to also visualize?