; Date: Sun, 30 Nov 2008 13:34:28 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 01-12-08 (Julia Surprise [9.5]) ; ; Id: <1.5.4.16.20081130133542.2b9fe39e@pop.mindspring.com> ; --------- ; ; FOTD -- December 01, 2008 (Rating 9.5) ; ; Fractal visionaries and enthusiasts: ; ; I sometimes receive e-mails asking how I find the fractals I ; post in the FOTD. I wish the question were not so difficult to ; answer. In a recent posting to the Fractint List, Mike actually ; had it right when he said I must have developed an intuition for ; fractals, and the ease with which I find them causes me to under- ; rate them. When searching for fractals, I simply get a feeling ; that a particular set of parameters or a particular spot in a ; certain parent fractal will yield something worth the effort. ; And as often as not I am right. ; ; Even more surprising, at least to me, is the fact that I some- ; times have little idea of the connection of the math to the ; shape of the fractal. This is quite the case in the images I ; make with formulas like the HyperMandelbrot2, where I can see no ; connection at all between the infinitesimal parameters I enter ; and the images that appear on the screen. ; ; When I was considering today's image, I had an instinctive ; feeling that the Julia aspect of yesterday's image might hold ; something interesting. As today's FOTD shows, I was right. The ; unexpected result, which is due entirely to the coloring, is ; quite striking, even though it hardly looks like a fractal. ; ; I named the image "Julia Surprise". After all, that's what it ; was to me. The rating of a 9-1/2 is exceptionally high. It ; includes 1/2 point for my serendipitous coloring, but still ; leaves room for improvement. The coloring took less effort than ; one would expect. Actually, I colored the image with a single ; strike of the key and one ot two register tweaks. ; ; The image is a ghostly one. It is not evaporated, since it ; started with nothing to be evaporated. Regardless, the 'bof60' ; inside fill once again worked its magic on a blank screen, and ; today's image is the result. ; ; The other inside fills work with much less success, with the ; 'bof61' being the best of the lot. I think the 'bof60' fill ; colors the bands according to how close the trapped points come ; to the origin in their limited wanderings, while the 'bof61' ; fill colors the bands according to which iteration brings the ; points closest to the origin. ; ; Perhaps the best feature of today's image is its faster-than- ; light calculation time of 8 swift seconds. This speed will give ; no one reason for impatience. But those with over-qualified ; machines that panic and freeze when booted with a DOS program ; will still need to view the finished image on the FOTD web site ; at: ; ; ; ; Sunday began with sleet here at Fractal Central, but by noon ; the sleet had changed to a cold rain that, together with a ; temperature of 34F +1C, made the day quite unpleasant. The ; fractal cats divided their time between searching for the ; warmest places they could find, chasing each other up and down ; the 40-foot (12-meter)-long hallway, and asking for food. ; ; My day was spent doing little of value. (Except for the fractal ; fun.) The next FOTD will be posted in 24 hours. Until then, ; take care, and when things go wrong, shift the aspect of your ; attitude from the Mandelbrot to the Julia. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Julia_Surprise { ; time=0:00:08.09-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia float=y symmetry=xaxis center-mag=0/0/0.1435945 params=-3/1.5/-0.987/0 maxiter=1500 inside=bof60 logmap=yes periodicity=10 colors=000zzzvvvrrrmmmhhhcccZZZUUUKKK000znUvlTrjTm\ hShfSeeR`dR_cQZbQXaQW`PV_PUZOTYOSWNRVNQVNOUMNSMMRL\ LQLKOKJNKIMJHLJFKJEJIDIICHHBGHAF0000L3gJ5dH7`F8WDA\ RBBN9DJx5zw6vv6ru7mt7hs7cr8Zq8Up8Uo9Un9Um9UlAUkAUj\ AUiBUhBUOASNCQLCPJCOHDMFDLDDKBEI9EH8th8rg8qf8oe8nd\ 8lc8kb8ia8h`8g_8eZ8dY8bX8aW8_V8ZU8YT8WS8VR8TQ8SP8Q\ O8PN8OM8ML8LK8JJ8II8GH8FG9GR8FQ8FQ8FP8FP8FO8FO8FN8\ FN8FM8FMW4fX4fZ4e_4e`4da5db5cc5ce5cf5bg6bh6ai6aj6`\ l6`m7_n7_o7Zp7Zq7ZpCYoGYoKYnPXnTXmXXlaWleWkiWknVjr\ VjvVmoaohgrantVtvPzsQwqQuoQsmRqkRoiRmgSkeSicSgaTe_\ TcYTaVU_TUYRUWPVUNVSLVQJWOHWMFWKDXIBXG9XE7XCCVFHTI\ MRLRPOWOQ`MTeKWjIZoGatFcuHcuJcuLcuNcvOcvQcvScvUcwV\ cwXcwZcw`cxacxccxecxgcxhcuiasj`qjZnkYllXjlVhmUenTc\ nRaoQ_oPXpNVqMTqKQrJOsIMsGKtFHuEFuCDvBBvAEuCGtEItF\ LsHNsIPrKRrLUqNWqOYpQ`oSboTdnVfnWimYkmZml`olalj_jh\ ZhfYfeXdcWaaV__UYZTWXS9EH } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint