Title: Awesome z^2 3d Mandelbrot (update: top shot has awesome details to explore) Post by: M Benesi on September 25, 2010, 06:31:31 AM This is a 3d complex triplex absolute value modification... and it's got some nice.. very nice structures. It has the classic 2d z^2 Mandelbrot cross section, although because of the y axis interaction with the z axis (at z=0*) there is only one (which is to be expected, and it definitely benefits the fractal as it has additional details to explore due to this fact).
* At z=0, for complex_2 = (y + i z)^2 + pixel y + i pixel z you end up with a new y component of -z^2 after one iteration which influences the whole calculation. Click on the images for full size new window. Here it is, straight on. Back (elephant valley) side coming up next (update: down below), then a top shot later (update:down below). (http://lh4.ggpht.com/_gbC_B2NkUEo/TJ16N_i3f6I/AAAAAAAAAtA/kOf_R0LepNw/s400/closin%20in%201.jpg) (http://lh4.ggpht.com/_gbC_B2NkUEo/TJ16N_i3f6I/AAAAAAAAAtA/kOf_R0LepNw/closin%20in%201.jpg) (http://lh4.ggpht.com/_gbC_B2NkUEo/TJ2BCEgufzI/AAAAAAAAAtQ/6r403H3wx34/s400/closin%20in%20topside.jpg) (http://lh4.ggpht.com/_gbC_B2NkUEo/TJ2BCEgufzI/AAAAAAAAAtQ/6r403H3wx34/closin%20in%20topside.jpg) Here it is from the front, followed by a zoom on the top of this front view next to the back side (below). (http://lh6.ggpht.com/_gbC_B2NkUEo/TJ2PUqhyLpI/AAAAAAAAAtc/JIc23FPs7js/s400/closin%20in%20front%20view.jpg) (http://lh6.ggpht.com/_gbC_B2NkUEo/TJ2PUqhyLpI/AAAAAAAAAtc/JIc23FPs7js/closin%20in%20front%20view.jpg) Front side top followed by the back side: (http://lh6.ggpht.com/_gbC_B2NkUEo/TJ2O7ZF3tFI/AAAAAAAAAtY/4aKj1pRvB1I/s400/closin%20in%20front%20view%20top.jpg) (http://lh6.ggpht.com/_gbC_B2NkUEo/TJ2O7ZF3tFI/AAAAAAAAAtY/4aKj1pRvB1I/closin%20in%20front%20view%20top.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ1_IC9ldtI/AAAAAAAAAtI/KbfEYvGmJMs/s400/closin%20in%20backside.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ1_IC9ldtI/AAAAAAAAAtI/KbfEYvGmJMs/closin%20in%20backside.jpg) Title: Re: Awesome z^2 3d Mandelbrot Update: added several more images, organized posts Post by: M Benesi on September 26, 2010, 06:53:49 AM Click on the images for full size window All of these are different locations, just quick zooms into various locations of the fractal. (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7LTavjaiI/AAAAAAAAAuE/uW0P3IpNBWY/s400/top%20side%20towards%20the%20front%20awesome.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7LTavjaiI/AAAAAAAAAuE/uW0P3IpNBWY/s400/top%20side%20towards%20the%20front%20awesome.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7KxrOKrvI/AAAAAAAAAt4/jgba1pMWhBY/s400/angel%20top.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7KxrOKrvI/AAAAAAAAAt4/jgba1pMWhBY/s400/angel%20top.jpg) (http://lh5.ggpht.com/_gbC_B2NkUEo/TJ6g7dNRRsI/AAAAAAAAAto/Pgqo_4d1CQw/s400/zoom%20in%20straight%20on%20towards%20the%20point.jpg) (http://lh5.ggpht.com/_gbC_B2NkUEo/TJ6g7dNRRsI/AAAAAAAAAto/Pgqo_4d1CQw/zoom%20in%20straight%20on%20towards%20the%20point.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7KxgPCQhI/AAAAAAAAAt8/fRQvv2SNew8/s400/heart.jpg) (http://lh3.ggpht.com/_gbC_B2NkUEo/TJ7KxgPCQhI/AAAAAAAAAt8/fRQvv2SNew8/heart.jpg) |