I realized that you can create a "poor man's animation" of the 6 zooms I did into the parent of Jim Muth's May 14th, 2012 FOTD -- by putting them into 6 adjacent tabs in your browser and quickly stepping thru viewing each of them -- to see them morph as they "move" around the 10-lobed Mandeloid. (I only calculated zooms of 6 of the bays, since 4 of them appear to be mirror images of one another.) I put the following six images from my site: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html into the adjacent tabs. I suggest putting: F120514S.jpg in the leftmost tab - viewable by using <ctrl><1> F120514T.jpg in the adjacent tab - viewable by using <ctrl><2> etc. You can then hold down the <ctrl> key and type the number keys at the top of the keyboard without having to take your eyes away from your browser's "image subwindow." http://www.emarketingiseasy.com/TESTS/FOTD/F120514S.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120514T.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120514U.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120514V.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120514W.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120514X.jpg For the sharpest images, click each zoom once in its upper left corner to see it at its original size -- if your browser has re-sized and re-sampled it. On each recent month's web page I give complete instructions for how to do this procedure, and an historical note. The instructions are below the table of links to the images, labeled: "How to Compare Details of..." and are repeated below my signature block here. (The instructions are for comparing two images, but the idea extends to a maximum of nine images.) I'm sorry that the images aren't registered or scaled any better. When I was framing the individual zooms to calculate them, I didn't have an animation in mind. Let me know whether you were successful at doing this... - Hal Lane ######################## # hallane@earthlink.net ######################## ================================================================ How to Compare Details of Anti-aliased and Non-anti-aliased Fractals: --------------------------------------------------------------------- This example pair of FOTD images shows some of the effects of anti-aliasing. Put the two different images: Original DOS Fractint 1200 x 900 pixel image: F120201.gif http://www.emarketingiseasy.com/TESTS/FOTD/F120201.gif Anti-aliased 1200 x 900 pixel version: F120201J.jpg http://www.emarketingiseasy.com/TESTS/FOTD/F120201J.jpg into adjacent tabs in your browser. I do this by right clicking each link above and choosing "Open link in new tab". If your browser has scaled the images down to fit your browser window, click the very upper-leftmost corner of each image once, to keep your browser from resampling (and possibly repositioning) the images. Then quickly alternate between viewing the images in their respective tabs. This lets you see where pixels have been changed by anti-aliasing quite clearly, by using the eye's sensitivity to motion. Many browsers accept the key combination <ctrl><n> to view their <n>th tab. This allows you to not have to move your gaze away from the images to aim your cursor at each of the two tabs to click on them. I'm able to hold down the <ctrl> key and alternately press the "3" and "4" keys (or wherever the two tab's locations are) to "blink" back and forth between viewing each of the two different images. The differences between the images literally jump out at you. Some differences from the Fractint original that I see in the anti-aliased version of the fractal are that: 1) The top vertically-stretched yellow crescent moon has become less jagged; 2) The black "speckles" in the green crescent -- inside the yellow crescent -- become a solid black band. 3) Stray single pixels' colors have been greatly muted. This sometimes changes the overall brightness of features when there are quite a few bright, single pixels in an area; 4) Many tiny features that were confused by stray pixels are now clearer. Other image pairs show additional effects of anti-aliasing. I've calculated an anti-aliased image for all of Jim's recent FOTD images. I got this idea for comparing images from the method used by Clyde Tombaugh to discover Pluto. He quickly alternated between viewing two different photographic plates of the same area of the night sky taken on successive nights. While the two photos were alternately presented to his view, Pluto moved. The instrument he used to do this is called a "blink microscope." This "blink" method is not limited to fractal image comparison. It can be used to compare any pair of images with slight differences. For example, one can compare the change in quality of two or more versions of the same image saved with differing amounts of JPEG compression. If you're a member of the [Fractint] email list serve, please let me know whether you're able to successfully "blink" a pair of similar images from my description above. ================================================================