victor=complex(sx,sqrt(sqr(sy)+sqr(sz))); // complex (x,y) creates a complex variable with bravo=complex(sqrt(sqr(sx)+sqr(sy)),sz); // the x component corresponding to the real component cramden=complex(sx,sy); // and the y being the imaginary component r1=cabs(cramden)^-n; // cabs(XXX) calculates the magnitude of a number (complex, quaternion, or real) victor=victor^n; bravo=bravo^n; cramden=cramden^n; nx=part_r(victor); // you might notice that I switched the new y and z components ny=-abs(part_i(bravo)); nz=-abs(part_r(bravo)*part_i(cramden))*r1; add in pixel or julia components (use + absolute value for the y and z components unless you want a really weird distorted fractal)
Here are a couple z^2 to start:
Click fer a bigger image:
Yup, I said fer.
This is the above image, prior to zoom in, etc.
Different part of the fractal:
Then the kicker, the z^6 has some nice organic stuff in it (like brambles or somethin'):
And it (the z^6) has the tower stuff, but it's a bit more organic in sections:
As with all fractals, this one can be explored. Not really too familiar with it as of yet, as it's 3d and takes a bit of time to calculate on my computer. Eventually these 3d fractals will be as quick to calculate as 2d fractals are today... but that's the future...