The choice of the swirl parameter is currently inconsistent. Make "-a" the flat to swirled transformation and "+a" the inverse transformation.
Let p be a point in space. It is represented by cand s in flat and swirled coordinates respectively.
Let f_a(c) = s, then f_a maps the flat angle phi to the swirled alpha = phi - a *r * z.
The original mistake came from confusing active and passive transformation and assumed ~alpha = phi + a *r * z~.
The choice of the swirl parameter is currently inconsistent. Make "
-a" the flat to swirled transformation and "+a" the inverse transformation.Let
pbe a point in space. It is represented bycandsin flat and swirled coordinates respectively. Letf_a(c) = s, thenf_amaps the flat anglephito the swirledalpha = phi - a *r * z.The original mistake came from confusing active and passive transformation and assumed ~
alpha = phi + a *r * z~.part of: #52