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Welcome to Fractal Forums > Fractal Art > Images Showcase (Rate My Fractal) > Neon Descent
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Author Topic: Neon Descent  (Read 1172 times)
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Fractal Ken
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Proud to be 2D
« on: June 26, 2011, 05:50:40 AM »


This image was generated by homemade software with minor post-processing in GIMP. It carries a CC BY 3.0 license.
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Pauldelbrot
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pderbyshire2
« Reply #1 on: June 26, 2011, 06:12:45 PM »
What is it? I've seen similar things in discrete Volterra-Lotka Julia fractals, but I'm guessing similar patterns can be generated in a variety of systems.
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Fractal Ken
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« Reply #2 on: June 26, 2011, 08:05:27 PM »
Quote from: Pauldelbrot on June 26, 2011, 06:12:45 PM
What is it? I've seen similar things in discrete Volterra-Lotka Julia fractals, but I'm guessing similar patterns can be generated in a variety of systems.

It's a weird Julia set variant, colored based on escape time.

Iteration formula
Let z(-1) = z(0) = standardized pixel coordinates, often called "c"
For n = 1, 2, . . .
   Define s, t, u, and v by: z(n - 1) = complex(s, t) and z(n - 2) = complex(u, v)
   Let z(n) = complex(1.5*s^2 - 1.5*t^2 + 0.3, s*v + t*u + 0.6)

Zoom region
Real axis: -0.35 to 0.29
Imaginary axis: 0.20 to 0.70
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