Trip... formulas

[Garth Thornton]

Yes, the alternative formulas should give the same results. In general, some operations are easiest to think about in terms of x,y,z and others are easiest to think about (or compute) in other coordinate systems, such as spherical (radius, longitude and latitude). For complex numbers (of any dimension) it's much easier to calculate arbitrary powers in the polar, spherical or equivalent higher dimensional system. The trigonometry just specifies the transformation from x,y,z to r,theta,phi; then you do the power operation, transform back to x,y,z and add C.

If XD wasn't limited to 3 parameters for metamorphs there would only be one TriplexT metamorph with a parameter for power.