It is impossible to fully define a 3 component complex number unfortunately. Looks great!
Insect Fractal
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Ok everyone knows the mandlebrot set fractal
Zn+1 = Zn^2 + C
I was playing around with that formula, but tried to do a 3D form of it, so I created a 3-component complex number. Defining addition and subtraction for that is easy enough but multiplication is just wtf, so I defined it as so:
(a,b,c)*(d,e,f) = (a*a-b*b-c*c, (a+b)*(d+e)-a*a-b*b-c*c, (b+c)*(e+f)-b*b-c*c)
Just basically some random typing.
C is initialized to (x, y, z)
This is the slice at z = -.5
I don't know what else to call this fractal, but I think it looks like an insect.
Huh, would be interesting to see the results of other z values. I can see where you got the insect idea from, maybe you can find other fractimals in this set fractal (Uncontrollable excitement)!
Since I know next to nothing about fractals, is this "shape" infinite? could you slap in any finite z value and come up with something?
Really cool and everything...
But please don't make my head hurt with the fucking description. Looks a bit like a rat to me
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