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rsidwell — Flame Fractal Variations 1.0
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Published: 2014-12-10 17:00:24 +0000 UTC; Views: 5447; Favourites: 76; Downloads: 408
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Description
This is a guide to some of the variations available in flame fractal programs. It's far from comprehensive, but I hope some will find it useful. I certainly learned a lot creating it!
The test flames I used for creating the examples are available at Flames for Testing .
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Comments: 17
Good explained and very well presented, nicely done! Must have been a lot of work! Respect!
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This is very interesting - thank you
I have a question - I saw the section on Curve 2D, and wondered if this could be adapted to produce the "combing" effect you see on hand marbled papers,
e.g.
www.youtube.com/watch?v=sha0FH…
What I'm really looking for is something that can used in Ultra Fractal, either a colouring algorithm or a mapping formula, that would produce the marbling effect digitally. I don't have a great deal of experience using programs for flame fractals.
Thanks!
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The math behind the curve plugin (x=a*exp(b*y^2)) could probably be used as a basis for producing this effect. But it only produces one "dip" at the x axis; to repeat it would require extra work. In a flame fractal program, you could probably do this with a curve transform and some fancy xaos work. In Ultra Fractal, I'd use a mapping though I don't know of one that does this. You'd need to write one.
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Having looked a bit more into this, I think there may be some possibilities in Ron Barnett's 'Object Transformations' in 'reb5.uxf'. I'll contact him to see if he make some suggestions for adapting his mapping to produce this effect - the maths and formula writing are way beyond me!
For example:
Ultra Fractal: Marbling Attempt
Marbling-Attempt {
; Attempt to produce the combing effect as seen
; in marbled paper.
::mGb2kin2Nq1SvNSyN47Dg/PY47jmqKWP3g+QSQQuMbCQyCsHNaL12ST0LL1ei9+rPflkKSKM
tGkb2kdxXFJ/IL7nP0Pfsf9vc3nu/+xVjrH6e4X7P806Vbf5z/5xxhN7Hf4+/7qFjL7oo5+l
DreZ5YX2Yufd/HDHO2Zrnc+hhFrGP29wvtab/9/z17+YYxwfK+F3XcGb4h7+0pP+kSm3vfc1
utdP81Kp7pHuf3++5rG/ozChuZYc5uFdbeb94q99HPe3n20vfPMmzndY74whuwsSqUFcJ9Fz
Mjhc2UK7ufT/Lb7MzKFb0S4373+C8ni5+xD9bP+8uDbOZu8vdSmPva9w2+NwvPM8UY2bv/8D
3D1c4juH+X/t/yj/W7j/9DwQGO8Q9M7f87Pu7pvNMfklVf1pOW9hzfAz4vuGuxJhP7t1P9LV
Z2XP28xHrsfbd/jjv/wUHa23f8lhtDHWN/UoZC2MhbpX8Nvdc4w/Pf3Fja3hf0lcTekLWf3X
7H3tbe/hnX1vdyPczuFDdcc8H5v75nPOM2Z+y0m2xh1IQXTZ+H72OcL+P+0Hd/Ku/XN+2ihJ
lz4yDDHXub9iO7sJimr2+dkOP0td3psifwb3a76f64UMcdrWgMmJV68+uPbDTpv5PBOlZT7z
znPtRupH53x0knZZlnfC6PVl10HZOOyEqZp7ksm+Munm22W6mfuZwPmp8e3Ef/zfMF199duZ
00qe/TVrimgx8uPj4SY6Tto7zuJP2r9dk/GhmXvhX+6c0+Z6jMi76wk31j176bdKY7e3
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Nice! To repeat it, try tiling. Add Rectangular Tiling 2 from jos.uxf, set Center (Im) to -0.5, and Tile width to 0. Adjust the spacing with Tile height.
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Haha! Excellent! Thank you
Edited to add: This is a bit quick and dirty, but I'm pretty pleased with it 
I added a couple more transforms to make the swirled patterns, and the combing slightly irregular.
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OK, thank you for your reply. I'm a dunce at the maths side of fractals, but I'll have a look at how the formula could be incorporated into a mapping algorithm for UF, failing that I'll ask around
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I'm happy to share it; glad you found it useful.
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It was a bit of work, but fun work! Thanks.
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Awesome resource, very well done, Thanks for sharing!
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