Taylor polynomial approximations centered at x = 0 for cosine of increasing degree (up to degree 14).
Listen to me. This is IMPORTANT.
Variations of “Pythagoras tree” in space, using Structure Synth.
Check out HD versions in Youtube
Variaciones del “Árbol Pitagórico” en el espacio, usando Structure Synth.
Ver versiones HD en Youtube
So, the euler spiral! It’s the big one at the top. It’s traced out by the parametric equations written under it.
I thought something interesting would happen if I replaced the cosine and the sine with the derivatives of the parameterizations of various other curves, and then this happened.