ShapesDirect2 coloring, Part 2
This direct coloring formula, in jlb.ucl, lets you combine many of a single standard shape (circles, generalized ellipses, squares, rectangles, and triangles) in various ways. Use a pixel formula with it. Here’s a sample parameter set that we’ll use in the following explanation:
Circles1 {
::6ekh5jn2lb13PuJOQ43jU+fAx7LLQChkW5Ha7qK1VX7d62+ulDYIuLYssN7mc/1fjBSWjDJX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}
Open this file in Ultra Fractal 5. Pretty boring.
Many outer circular annuluses, starting big and getting smaller. An inner solid red circle. Note it’s officially a circular annulus with radius 0.1 and thickness 1, which is impossible. Usually the program does something sensible in such case.
Let’s make it more interesting, or at least different. Click on the Outer layer. In “Gradient offset and its changing,” change “Variation of offset” to -.035. (The gradient is assumed to have length 1.) Now there’s a nice spiral effect.
In “Texture,” click on the browse button and select fBm (fractal Brownian motion). Change “Texture Strength” to 0.25. A small strength does nothing; a large strength destroys what was there. Experiment. You can also change other parameters in fBm. Experiment. Try other formulas besides fBm.
In “Shape Distortion,” click on the browse button and select fBm (fractal Brownian motion). Change “Distortion Strengt” to 0.25. That’s way too much! Experiment with changing “Distortion Strength” and “Scale.” Try “Scale” = 3 and “Distortion Strength” = 0.05. Save this as Circles 2 just in case.
What else can we do? Let’s try changing the circle exponent from 2 to 3. That’s interesting, but note that the annuluses get thinner. You might want to use thicker annuluses and fewer of them. Try various values of the exponent from 0.5 to 5 or more. Let’s stick with 0.75.
Now that the shapes aren’t circles, the rotation angle makes a difference. Under “Rotation angle and its changing,” leave the “Angle change” at Random and set “Variation of angle” to 30. That means the rotation angle of each annulus is random in the range -15 degrees to +15 degrees. Experiment. Try 360. If the image is not quite what you want, vary the “Random number seed” and see if that helps.
Now you can try various parameter changes. Here’s one that I like better.
Circles3 {
::XvSbLhn2lf1SvNuNQ47BI/HE09ILJrH27CeopBFYDa2uoZvTQLRZzN6BhIVid/13hSyOkySK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}
Finally, here’s an example of a two-dimensional array of circles. This also illustrates edge blending.
Two-DCircles {
::weDLQjn2tn1WvNKOU43jU+PYx7hgd4SYq8DtT0KtV7ua10+4IhcADxTBDyYaT2f97xQaDQS6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}
Have fun.
ShapesDirect2 coloring, Part 2
This direct coloring formula, in jlb.ucl, lets you combine many of a single standard shape (circles, generalized ellipses, squares, rectangles, and triangles) in various ways. Use a pixel formula with it. Here’s a sample parameter set that we’ll use in the following explanation:
Circles1 {
::6ekh5jn2lb13PuJOQ43jU+fAx7LLQChkW5Ha7qK1VX7d62+ulDYIuLYssN7mc/1fjBSWjDJX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}
Open this file in Ultra Fractal 5. Pretty boring.
Many outer circular annuluses, starting big and getting smaller. An inner solid red circle. Note it’s officially a circular annulus with radius 0.1 and thickness 1, which is impossible. Usually the program does something sensible in such case.
Let’s make it more interesting, or at least different. Click on the Outer layer. In “Gradient offset and its changing,” change “Variation of offset” to -.035. (The gradient is assumed to have length 1.) Now there’s a nice spiral effect.
In “Texture,” click on the browse button and select fBm (fractal Brownian motion). Change “Texture Strength” to 0.25. A small strength does nothing; a large strength destroys what was there. Experiment. You can also change other parameters in fBm. Experiment. Try other formulas besides fBm.
In “Shape Distortion,” click on the browse button and select fBm (fractal Brownian motion). Change “Distortion Strengt” to 0.25. That’s way too much! Experiment with changing “Distortion Strength” and “Scale.” Try “Scale” = 3 and “Distortion Strength” = 0.05. Save this as Circles 2 just in case.
What else can we do? Let’s try changing the circle exponent from 2 to 3. That’s interesting, but note that the annuluses get thinner. You might want to use thicker annuluses and fewer of them. Try various values of the exponent from 0.5 to 5 or more. Let’s stick with 0.75.
Now that the shapes aren’t circles, the rotation angle makes a difference. Under “Rotation angle and its changing,” leave the “Angle change” at Random and set “Variation of angle” to 30. That means the rotation angle of each annulus is random in the range -15 degrees to +15 degrees. Experiment. Try 360. If the image is not quite what you want, vary the “Random number seed” and see if that helps.
Now you can try various parameter changes. Here’s one that I like better.
Circles3 {
::XvSbLhn2lf1SvNuNQ47BI/HE09ILJrH27CeopBFYDa2uoZvTQLRZzN6BhIVid/13hSyOkySK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ZmufNMHHAWOp+xnBMdR/Ywc2MzwghdjOPYaxUjE6f0TwYf1zgv5Zsvm5m4V9ffyqw+vkJeJc
Xzywexed3j1pCaVcji614Ht6oY4rAi886lfTs3JzfXfS0fipBpYI
}
Finally, here’s an example of a two-dimensional array of circles. This also illustrates edge blending.
Two-DCircles {
::weDLQjn2tn1WvNKOU43jU+PYx7hgd4SYq8DtT0KtV7ua10+4IhcADxTBDyYaT2f97xQaDQS6
uvMjmpCp+Qy35iP38xfKNVxi1s8PNfGCpF6cO16xXKXsB9ZhKOnXbheRko3RDW7g2xFZ700A
sDKndgrqpuGziV8EhumadvoAdXeD/mVLJOwfY/bunVwr7AxOLDMgkb+SpEdHTJ5a9NhLxGt/
qxRYi18ZteuNciZVaRpka9HGIkrFqsiFL0HoYHHUBXvrMhW0krFVs6akWxk1VMFXqpH41znV
wqqEysOfBocF13OwbpvtxcWmk6YTWNfWapC8CrVvC2ehRRzJkKy5SI+pWPoZyEmKxuJtwCBu
Sdga93i98cIgFyaRCvrAaChUwcZpkPfWZj+cR5CJnpQ1l5iEKm4uyddQQvz6b5btbizf7YeY
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P0+aj4I9hKOtbWpnM9LlRbMdheYVUyQHIbKo4efvMNlEhpYbvlOjhJUnlggROoVd8QETk2D5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}
Have fun.
