Intricated Rings (4,4)

From Ultrafractal Wiki

Intricated Rings (4,4) is a Transformation in sam.ufx.
What is it?

This transformation produces a pattern composed of intricated rings.
Parameters

Mode

"One piece in" works like a scissor. It assigns solid color to the region outside the rings.
"One piece out" assigns solid color inside the rings.
With "Intricated Rings" the rings are really intricated. There is a little problem when four rings meet (actually the problem would occur in reality, too), try avoiding this case.
"Tiling in\out" produce some nice tilings consisting of intersecting circles.
Global shape

The rings will be arranged according to the shape specified.
Example

20000615 {
; Copyrights 2000 S. Monnier
; http://www.crosswinds.net/~s31415/index/index.htm
fractal:
  title="20000615" width=500 height=500 author="Samuel"
  created="June 15, 2000" numlayers=12
layer:
  mapalpha=0 method=multipass caption="Frame 3" opacity=100 visible=yes
  alpha=yes mergemode=overlay
mapping:
  center=0/0 magn=1 angle=0 numtransforms=1
transform:
  filename="dmj.uxf" entry="dmj-Clipping" p_scicenter=0/0
  p_sciright=-1.85962536081000032/0.252948596842333344 p_scitop=0/0
  p_scishape="square" p_rotation=no p_sciinside="inside" p_relative=no
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="SFBMpix" transfer=linear repeat=yes
  p_mode="Perlin's" p_niter=20 p_string=yes p_power1=0.1
  p_scaledis="1/scale" p_size=0.3 p_magn=1.2 p_rot=28 p_power=1 p_sin="Sin"
  p_perturb=no p_seed=123094 p_randmode="Division" p_mod="Use sqrt(i)"
  f_f1=exp
gradient:
  smooth=no numnodes=2 index=108 color=4671303 index=379 color=16777215
layer:
  mapalpha=0 method=multipass caption="Frame 2" opacity=100 visible=yes
  alpha=yes mergemode=multiply
mapping:
  center=0.00037463919/-0.000384736491 magn=1 angle=0 numtransforms=1
transform:
  filename="dmj.uxf" entry="dmj-Clipping" p_scicenter=0/0
  p_sciright=-1.85962536081000032/0.252948596842333344 p_scitop=0/0
  p_scishape="square" p_rotation=no p_sciinside="inside" p_relative=no
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="OctogonalGradient" density=20 transfer=linear
  repeat=yes p_angle=45
gradient:
  smooth=yes numnodes=2 index=0 color=16777215 index=3 color=2763306
layer:
  mapalpha=0 method=multipass caption="Frame 1" opacity=100 visible=yes
  alpha=yes
mapping:
  center=0.00037463919/-0.000384736491 magn=1 angle=0 numtransforms=1
transform:
  filename="dmj.uxf" entry="dmj-Clipping" p_scicenter=0/0
  p_sciright=-1.85962536081000032/0.252948596842333344 p_scitop=0/0
  p_scishape="square" p_rotation=no p_sciinside="inside" p_relative=no
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="OctogonalGradient" density=100 transfer=linear
  repeat=yes p_angle=45
gradient:
  smooth=yes numnodes=2 index=0 color=2302755 index=1 color=7895160
layer:
  mapalpha=0 method=multipass caption="BG 1" opacity=100 visible=yes
  alpha=yes
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="One-Piece Out" p_smode="Plane"
  p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="SFBMpix" transfer=linear repeat=yes
  p_mode="Perlin's" p_niter=20 p_string=yes p_power1=0.1
  p_scaledis="1/sqrt(scale)" p_size=1 p_magn=1.2 p_rot=28 p_power=1
  p_sin="Sin" p_perturb=no p_seed=123094 p_randmode="Division II"
  p_mod="Use sqrt(i)" f_f1=exp
gradient:
  smooth=no numnodes=2 index=64 color=0 index=229 color=12632256
layer:
  mapalpha=0 method=multipass caption="Color 1" opacity=100 visible=yes
  alpha=yes mergemode=overlay
mapping:
  center=-0.512923901857254016/0.516376885475794624
  magn=0.646176129073037696 angle=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="SFBMpix" transfer=linear repeat=yes
  p_mode="Perlin's" p_niter=20 p_string=yes p_power1=0.1
  p_scaledis="1/scale" p_size=1 p_magn=1.2 p_rot=28 p_power=1 p_sin="Sin"
  p_perturb=no p_seed=123094 p_randmode="Division" p_mod="Use sqrt(i)"
  f_f1=exp
gradient:
  smooth=no numnodes=2 index=110 color=10594 index=382 color=8114920
layer:
  mapalpha=0 method=multipass caption="Rings 5" opacity=58 visible=yes
  alpha=yes mergemode=hardlight
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="Intricated Rings"
  p_smode="Plane" p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="Standard.ucl" entry="Gradient" density=200 transfer=sqrt
  repeat=yes p_type="Radial"
gradient:
  smooth=no numnodes=4 index=114 color=8355711 index=174 color=11645361
  index=219 color=12105912 index=220 color=8355711
layer:
  mapalpha=0 method=multipass caption="Rings 4" opacity=70 visible=yes
  alpha=yes mergemode=multiply
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="Intricated Rings"
  p_smode="Plane" p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="Standard.ucl" entry="Gradient" density=200 transfer=sqrt
  repeat=yes p_type="Radial"
gradient:
  smooth=no numnodes=5 index=283 color=13158600 index=284 color=16777215
  index=313 color=4671359 index=347 color=0 index=348 color=3684408
layer:
  mapalpha=0 method=multipass caption="Rings 3" opacity=100 visible=yes
  alpha=yes mergemode=overlay
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="Intricated Rings"
  p_smode="Plane" p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="Standard.ucl" entry="Gradient" density=200 transfer=sqrt
  repeat=yes p_type="Radial"
gradient:
  smooth=no numnodes=6 index=210 color=16777215 index=211 color=8355711
  index=283 color=8355711 index=284 color=11645361 index=311 color=0
  index=348 color=8355711
layer:
  mapalpha=0 method=multipass caption="Rings 2" opacity=61 visible=yes
  alpha=yes mergemode=lighten
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="Intricated Rings"
  p_smode="Plane" p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="Standard.ucl" entry="Gradient" density=8000 transfer=sqrt
  repeat=yes p_type="Radial"
gradient:
  smooth=no numnodes=2 index=122 color=16777215 index=308 color=0
layer:
  mapalpha=0 method=multipass caption="Rings 1" opacity=61 visible=yes
  alpha=yes mergemode=subtraction
mapping:
  center=-0.5/0.5 magn=1.04148387862360176 angle=45 numtransforms=1
transform:
  filename="sam.uxf" entry="Rings" p_mode="Intricated Rings"
  p_smode="Plane" p_r=2 p_r1=0.97 p_w=0.18 p_size=1 p_rot=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="Standard.ucl" entry="Gradient" density=8000 transfer=sqrt
  repeat=yes p_type="Radial"
gradient:
  smooth=no numnodes=2 index=65 color=16777215 index=251 color=0
layer:
  mapalpha=0 method=multipass caption="Text 2" opacity=100 visible=yes
  alpha=yes mergemode=overlay
mapping:
  center=-0.512923901857254016/0.516376885475794624
  magn=0.646176129073037696 angle=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="SFBMpix" transfer=linear repeat=yes
  p_mode="Perlin's" p_niter=20 p_string=yes p_power1=0.1
  p_scaledis="1/scale" p_size=1 p_magn=1.2 p_rot=28 p_power=1 p_sin="Sin"
  p_perturb=no p_seed=123094 p_randmode="Division" p_mod="Use sqrt(i)"
  f_f1=exp
gradient:
  smooth=no numnodes=2 index=110 color=1592964 index=382 color=1495038
layer:
  mapalpha=0 method=multipass caption="Text 1" opacity=100 visible=yes
  alpha=yes mergemode=difference
mapping:
  center=-0.512923901857254016/0.516376885475794624
  magn=0.646176129073037696 angle=0
formula:
  filename="sam.ufm" entry="pixeldis" maxiter=100 percheck=normal
inside:
  density=0 transfer=none repeat=yes
outside:
  filename="sam.ucl" entry="SFBMpix" transfer=linear repeat=yes
  p_mode="Perlin's" p_niter=20 p_string=yes p_power1=0.1
  p_scaledis="1/scale" p_size=1 p_magn=1.2 p_rot=28 p_power=1 p_sin="Sin"
  p_perturb=no p_seed=123094 p_randmode="Division" p_mod="Use sqrt(i)"
  f_f1=exp
gradient:
  smooth=no numnodes=2 index=76 color=0 index=381 color=16777215
}
Intricated Rings (4,4)

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What is it?

Parameters

Mode

Global shape

Example

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