Mandelbulb Division

[David Makin]

OK I think I see two forms of "division" possible, one is simply using the same algorithm as the "multiply" but dividing the magnitude and subtracting the values from the angles (see Ron's (fractalrebel's) multiply here http://www.fractalforums.com/mandelbulb-renderings/lambdabulb/msg9103/#msg9103). But there seems to be an altenative for the formula given that Paul (bugman) provides definitions for 1/z here http://www.fractalforums.com/theory/non-trigonometric-expansions-for-cosine-formula/msg9019/#msg9019 and here  http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/msg8680/#msg8680.
Is using the first method z1/z2 equivalent to using the second z1*(1/z2) or not ?

[kram1032]

depends on wether your formulae are commutative or not...

and that further depends on which specific formulae you used.

Most likely I guess, they are similar.

[bugman]

Yes, both methods of division are exactly the same.

[David Makin]

Yes, both methods of division are exactly the same.

Is that true for all 3 formulae - I mean "+sine", "-sine" and the cosine version (Daniel's) ?

[JColyer]

i implemented my spherical division function (needed to implement a formula) as the 'reverse' of the spherical multiply function (subtracting the angles) and although I'm not sure it's mathematically correct, but visually the results were what I expected/hoped to see.