> Because for x = [1, 2, 3, 4...], y = [-1, 1, -1, 1...]. y = cos(pi * (x-1)). No complex numbers needed. Yes, you can make a 3-D spiral / helix by mapping fr

> Because for x = [1, 2, 3, 4...], y = [-1, 1, -1, 1...]. y = cos(pi * (x-1)). No complex numbers needed. Yes, you can make a 3-D spiral / helix by mapping from R to C, but (a) that's only when your domain is R; ignoring when the domain is C. The spiral doesn't help you with a simple task like solving this: 0 = x^2 +1 A helix is a time-based view of drawing a circle, in the plane. Your favorite use of complex numbers isn't the only use of complex numbers. https://brilliant.org/wiki/complex-numbers-in-geometry/ https://brilliant.org/wiki/complex-numbers-in-geometry/ https://web.evanchen.cc/handouts/cmplx/en-cmplx.pdf https://web.evanchen.cc/handouts/cmplx/en-cmplx.pdf