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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > General Discussion > perhaps a formula worth to implement in 3d ?
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Author Topic: perhaps a formula worth to implement in 3d ?  (Read 737 times)
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cKleinhuis
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Posts: 7044


formerly known as 'Trifox'


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« on: July 28, 2012, 07:01:53 AM »
a friend of mine asked me if i could visualise a formula for him:

1. start with a complex ( or triplex ) number

2 if Re(z) not in [-1/2, 1/2] add a int number to bring it back in range

3 if |z| < 1, then z =-1/z  and continue with 1. otherwise end

it terminates always


ultrafractal snippet:
Code:
init:
  z = #pixel
loop:
 complex newz=z;
if |newz| <1
   newz=-1/newz
endif
if real(newz)<-0.5  || real(newz)>0.5
  newz =   real(newz)-floor(real(newz))   +imag(newz)
endif
; y achse
if imag(newz)<-0.5  || imag(newz)>0.5
  newz =   real(newz)  +imag(newz)-floor(imag(newz))
endif
  z = newz
bailout:
   z> @bailout

and some images attached, first 2 are with x/y applied ( as in above snippet ) the later 2 are the algorithm applied just to x axis

* finalxy1.jpg (46.34 KB, 1024x762 - viewed 183 times.)

* finalxy2.jpg (43.07 KB, 1024x762 - viewed 205 times.)

* richtigfinal.jpg (80.48 KB, 1024x762 - viewed 179 times.)

* richtigfinal2.jpg (37.46 KB, 1024x762 - viewed 182 times.)
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divide and conquer - iterate and rule - chaos is No random!
DarkBeam
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Posts: 2512


Fragments of the fractal -like the tip of it
« Reply #1 on: July 28, 2012, 11:24:58 AM »
Discontinue functions are not quite a candy for raytracing, horrible results. undecided
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No sweat, guardian of wisdom!
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