> Turns out, Flarium by default uses the convention: z0 = c, rather than 
> z0 = 0, which, of course makes no difference in the classic Mandelbrot 
> set (since, if z0 = 0, then z1 = c), but quite a difference in the ones 
> I was looking at.

If you wanna be *technical* about it, to draw something you could 
describe as a "Mandelbrot" set, you're supposed to use z0 = critical 
point of the mapping. (And if there are several, things get... interesting.)

z^2 + c has 2 critical points - zero and infinity. Infinite is *always* 
an attractor, no matter what c is, which just leaves zero to investigate...


Neat images BTW. You know, you could try something like this...

#declare Re_Add = function (xr, xi, yr, yi) {xr + yr};
#declare Im_Add = function (xr, xi, yr, yi) {xi + yi};

#declare Re_Sub = function (xr, xi, yr, yi) {xr - yr};
#declare Im_Sub = function (xr, xi, yr, yi) {xi - yi};

#declare Re_Mul = function (xr, xi, yr, yi) {xr * yr  -  xi * yi};
#declare Im_Mul = function (xr, xi, yr, yi) {xr * yi  +  xi * yr};

(etc.)


In case you don't have a handy reference...

http://spanky.triumf.ca/www/fractint/append_a_misc.html

("Trig Identities", half way down.)

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