Orbits

From Ultrafractal Wiki

Orbits is a Coloring Algorithm in sam.ucl.

What is it?

This coloring allow you to see the orbits of the points iterated by the M-set formula. It's very slow. This is because UF's way of computing is not designed for this kind of algorithm. Use it with the pixel formula (in mt.ufm). If you want to see which point of the M-set you're actually selecting, add a layer with the M-set formula that you can see in "transparency". Be sure that the two layer have exactly the same location, magnification and rotation.

Example

Copyright 2000 Samuel Monnier

 
orbits {
; Copyrights 2000 S. Monnier
; http://www.crosswinds.net/~s31415/index/index.htm
fractal:
  title="orbits" width=400 height=400 author="Samuel"
  created="April 13, 2000" numlayers=9
layer:
  caption="New Layer 8" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=0.220533333333333332/0.312933333333333333 p_niter=30
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 7" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=0.274933333333333332/-0.0338666666666666666 p_niter=30
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 6" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=-0.575066666666666667/-0.224266666666666666 p_niter=40
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 5" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=-0.173866666666666668/-0.557466666666666666 p_niter=40
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 2" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=-0.609066666666666667/0.310666666666666667 p_niter=40
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 4" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=-0.0378666666666666667/0.596266666666666667 p_niter=50
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 3" opacity=100 visible=yes alpha=no mergemode=addition
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=0.302133333333333333/0.0749333333333333333 p_niter=40
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="Layer 1" opacity=100 visible=yes alpha=no mergemode=difference
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
  p_inside=no
inside:
  transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="Orbits" density=0.400000000000000022
  transfer=arctan repeat=yes p_mode="Segments" p_start=0/0 p_power=2/0
  p_pix=0.284/-0.3376 p_niter=40
gradient:
  smooth=no numnodes=4 index=0 color=16777215 index=1 color=0 index=398
  color=0 index=399 color=16777215
layer:
  caption="New Layer 1" visible=yes alpha=no
mapping:
  center=-0.486666666666666667/-0.00666666666666666667
  magn=1.47058823529411765 angle=0
formula:
  filename="Standard.ufm" entry="Mandelbrot" maxiter=100 percheck=normal
  p_start=0/0 p_power=2/0 p_bailout=1E20
inside:
  filename="Standard.ucl" entry="Default" density=0.5 transfer=none
  offset=300 repeat=yes
outside:
  filename="dmj.ucl" entry="dmj-Smooth" density=0.299999999999999989
  transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
  smooth=no numnodes=3 index=14 color=8882055 index=272 color=0 index=399
  color=0
}