I've done a bit more investigating of sciwise's Volterra-Lotka fractal formula. I'm showing my "investigations" in addition to finalized art images. If you want only the final "artistic" images, I identified those. Look for: "[ART IMAGE]s", if you want to skip over the "investigation" images. If needed, click once on all of the 1200 x 900 pixel images -- and/or (maybe) make your browser full screen. I used two tabs in my browser for viewing these images so I could keep two images open which allowed me to see the relationships between the two, as I elaborate below. Here again is sciwise's parent Volterra-Lotka fractal initialized with the default (0.8, 0.8) stretched ~10X vertically: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif Parameters varied from (0.00010, 0.00010) to (0.99990, 0.99990) : http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk14.gif The upper right corner image (0.99990, 0.99990) of VltLtk14.gif looked like it might have interesting areas in it: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk15.gif The "knee" area of VltLtk15.gif, below & to the right of center: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk17.gif The boxed area in VltLtk17.gif enlarged turned out to not be very interesting: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk18.gif The top dozen or so pixels at the very tip of the vertical straight line above and to the left of center in VltLtk15.gif, when enlarged, has quite a variety of seemingly unrelated -- but potentially interesting -- features: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk19.gif The left "hook" at the bottom of VltLtk19.gif: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk20.gif I suspected the patterns in the chaotic-looking area in the "cup" of the "hook" to be Moire fringes, since they looked to be aligned to 0, 22.5, and 45 degree orientations. So, ever a glutton for punishment, I enlarged VltLtk20.gif 's "cup", which revealed the regular structure of the "cup" and showed Moire fringes at 0 and 45 degrees (near the upper left corner.) http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk21.gif But, for some reason, the fringes / interference patterns went wild on the right side of the cup, and made star-like patterns: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk24.jpg VltLtk21.gif above also reveals the color map. I believe I took the map from one of Albrecht's images: "Thanks, Albrecht!" http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk21.jpg Please view the following two images without browser resampling: Thanks! [ART IMAGE] Here's the top of the "roller coaster track" in VltLtk15.gif enlarged. I skewed the triangular areas to try to compose them into the image as best as I could. There's a lot of interesting stuff going on here: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk22.gif [ART IMAGE] This is the area where the "bite is taken out of" (or "cup" is indented into) the lower right corner of the left triangle of VltLtk22.gif : It's tricky to verify the relationship between the corresponding areas in the two images visually since I rotated the color map, which made many features look a bit different. http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk23.gif Comments welcome on the investigation process, and on the images. Thanks, - Hal Lane ######################## # hallane@earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus