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Woodland Garden | ||||||
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Description: Created with the Fractal Science Kit fractal generator. See http://www.fractalsciencekit.com/ for details. Stats: Total Favorities: 0 View Who Favorited Filesize: 477.7kB Height: 900 Width: 900 Discussion Topic: View Topic Keywords: fractal art abstract chaos Julia Posted by: Ross Hilbert October 01, 2011, 10:32:56 PM Rating: by 5 members. Image Linking Codes
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Comments (8) | |
Ross Hilbert | October 03, 2011, 03:36:25 PM Thanks Fractalisman :-) |
Fractalisman | October 03, 2011, 10:26:36 AM Agree with RCPage |
Ross Hilbert | October 02, 2011, 05:55:22 PM Thanks Paul! This is a Julia set based on an equation inspired by, and similar to the KaliSet and 2D MandleBox equations. The heart of the equation is: Code: z = Affine.TransformPoint(s1, z) z = Complex(p1p(m1p(z.x)), p1p(m1p(z.y))) z = Affine.TransformPoint(s2, z) z = CircleFoldIn(z, 0, Radius) z *= c z = Affine.TransformPoint(s3, z) where: Code: Complex p1p(r) = LRFold(r, 1) Complex m1p(r) = LRFold(r, -1) CircleFoldIn(z, center, radius) { return IIf(Abs(z) > radius, Geometry.Inversion(center, radius, z), z) } Complex Geometry.Inversion(center, radius, z) { return center + radius^2/Conj(z-center) } Complex LRFold(r, v) { return Abs(r - v) + v } s1, s2, and s3 are affine transformations defined by user options, and Affine.TransformPoint(s, z) applies affine transformation s to z and returns the result. In this fractal Radius is 12, s1 and s3 are the identity transformation, and s2 is a reflection in a line through the origin inclined -22.5 degrees. |
Pauldelbrot | October 02, 2011, 04:31:33 PM Are these Kaliset fractals? Or 2D Mandelbox? The resemblance to those is strong. Very nifty BTW. |
Ross Hilbert | October 02, 2011, 03:27:37 PM Thanks Johan! |
KRAFTWERK | October 02, 2011, 08:41:42 AM Very nice Ross! |
Ross Hilbert | October 02, 2011, 05:08:12 AM Thanks RC :-) |
Guest | October 02, 2011, 05:05:54 AM |
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