Wikipedia:Featured picture candidates/Julia Set

Julia set

Original - The Julia set is a fractal first described in 1918 by then 25-year-old French mathematician Gaston Maurice Julia in the French mathematics publication Journal de Mathématiques Pures et Appliquées. This image is a visualization of the Julia set (white) and related Fatou set (red/green/blue) for :$f:z\mapsto z-{\frac {g(z)}{g'(z)}}$ with :$g:z\mapsto z^{3}-1$ in the complex plane.

Reason

High resolution, beautiful, amazing colors and detail, and of encyclopedic value for the Julia set article

Articles this image appears in

Julia Set

Creator

User:Georg-Johann

• Support as nominator --AutoGyro (talk) 17:33, 5 October 2008 (UTC)
• Question What am I looking at? I thought the Julia set looked like this?--HereToHelp ^{(talk to me)} 23:26, 5 October 2008 (UTC)

  • Answer What you linked to is a julia set with seed coordinates (-0.726895347709114071439, 0.188887129043845954792), the FPC is a Julia set for :$f:z\mapsto z-{\frac {g(z)}{g'(z)}}$ with :$g:z\mapsto z^{3}-1$ in the complex plane. As you can see here [1], there are many different visualizations :) --AutoGyro (talk) 00:25, 6 October 2008 (UTC)

• Support. I'm assuming good faith that this is a valuable addition to the article, since I know diddly-squat about math stuff like this ;) Good picture though Intothewoods29 (talk) 18:41, 6 October 2008 (UTC)
• Weak oppose - Maybe this is not the best realization of the Julia set for the purpose of clearly illustrationg the fractal replication of the patterns in smaller and smaller scales. In my opisnion the image lacks complexity and detail, and the colours are a bit sad thus affecting the expected Wow factor. Looking for example at this FP , which illustrates the Mandelbrot set, I wonder if something similar could be achieved. -- Alvesgaspar (talk) 21:53, 6 October 2008 (UTC)
• Weak oppose per Alvesgaspar. --Janke | Talk 13:15, 7 October 2008 (UTC)
• Weak support. Very eye-catching, but I am not sure of its importance. Spinach Dip 22:37, 7 October 2008 (UTC)

No consensus MER-C 08:57, 14 October 2008 (UTC)