Re: [math-fun] Cubic equations, ellipses and hyperbolic functions

At 08:35 PM 1/30/2020, Brad Klee wrote:

One issue with your model though: how do you set parameters to get z^3=1? It sounds like circular Steiner ellipses would have c = 0, implying only z^3=0. Can f(z) equal a constant?

z^3=c^3 is soooo boring -- you can solve it by inspection. But I'd be interested if there is another parameterization that generalizes my parameterization to handle this degenerate case.