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Fractal Math, Chaos Theory & Research => Mandelbulb Renderings => Topic started by: cKleinhuis on December 17, 2009, 10:05:27 PM




Title: Phoenix Bulb
Post by: cKleinhuis on December 17, 2009, 10:05:27 PM
the phoenix fractal rendered with triplex algebra:

z_{n+1}=z^2+cz_{n-1}

the images below are:

1. exponent = 8 phoenix triplex fractal
2. exponent = 2 phoenix triplex fractal ( the one you could resemble when compared to
3. a julia variation ( extremely interesting behaviour )
4. the classic 2d version, rendered with ultrafractal from fractint formulas


Title: Re: Phoenix Bulb
Post by: BradC on December 17, 2009, 10:34:42 PM
Wow, what does the back of that Julia set look like?


Title: Re: Phoenix Bulb
Post by: cKleinhuis on December 17, 2009, 10:53:14 PM
it looks from every view different ;) :evil1: :alien: :tease2:

but i have found some very friendly looking fractal faces, one was lost ( gpu breakdown ) but i will post as soon as i have more

it is amazing to view the effect of the 3d triplex parameters, it seems so intuitive ...

i will ask subblue if i am allowed to publish a modified version of his script

next step will be:

add full alternation capabilities ( alternate formula + alternate seeds ) , this will be fun^10, but parameter wars !!!


Title: Re: Phoenix Bulb
Post by: BradC on December 18, 2009, 06:15:19 AM
I like this one, and I'm trying to implement it. How did you begin the iteration for the Mandelbrot set? To calculate the first z1, I need to know both z0 and z-1. I can't use z0=z-1=0 because then z1=0, z2=0, etc.. To begin the Julia set, did you use z0=z-1?


Title: Re: Phoenix Bulb
Post by: cKleinhuis on December 18, 2009, 02:24:37 PM
z0 is the pixel, or the 3d coordinate you want to calculate the iteration value for