Title: Neon Descent Post by: Fractal Ken on June 26, 2011, 05:50:40 AM (http://i1122.photobucket.com/albums/l540/Fractal_Ken/NeonDescent1024.png)
This image was generated by homemade software with minor post-processing in GIMP. It carries a CC BY 3.0 (http://creativecommons.org/licenses/by/3.0/) license. Title: Re: Neon Descent Post by: 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.
Title: Re: Neon Descent Post by: Fractal Ken on June 26, 2011, 08:05:27 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 |