; Date: Tue, 12 Oct 2004 09:28:50 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-10-04 (Vision of Lobsters [6]) ; Id: <1.5.4.16.20041012092949.29a7c146@pop.mindspring.com> ; --------- ; ; FOTD -- October 12, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; To get a fair assessment of the many formulas in Fractint, it ; would be necessary to spend at least a month with each one, and ; not the mere hour or so that I am now spending. But even an ; hour can give a basic idea of what a formula has to offer, and ; besides, if I were to spend a month with each formula, it would ; be quite a few years before I finished the Fractint tour. ; ; Today's image takes us to the complexnewton formula. This ; formula works the same as the complexbasin formula that created ; yesterday's image, but instead of coloring the points according ; to which root they converge on, today's formula colors the ; points according to how many iterations it takes for the points ; to reach the root. ; ; Since we are searching for an imaginary root in today's image, ; we find an infinity of complex solutions waiting for us, ; arranged in a truly fractal pattern. Regardless of how deep we ; search, there are always an infinity of similar smaller basins ; and their roots ahead of us. ; ; Since the process is unending and the detail appears to change ; little, I stopped my search at a relatively shallow depth when I ; found today's scene. Actually, there is nothing unusual about ; today's scene. With small variations, the entire parent ; fractal, which is infinite in size, looks the same as the tiny ; part visible in today's image. This parent very graphically ; displays the infinite multi-dimensional spiral that results ; because of the multi-valued functions used in the calculation. ; ; When the time arrived to give my latest creation a name, I ; studied the image for nearly 10 minutes. Then, for some reason, ; I started imagining lobsters in the image. I named the picture ; "Vision of Lobsters". Thanks to its brilliant coloring, the ; image is rated higher than the recent ones. I decided on a ; rating of 6, which the render time of 1 minute and 23 seconds ; raises to an absolute value of a respectable 429. ; ; Skipping over the diffusion fractal type, which draws fractal ; trees, and the dynamic type, which draws diamonds, tomorrow's ; image will explore the 'escher' fractal, which does strange ; things with Julia sets. Exactly how strange these things are ; will have to wait until tomorrow to be determined. ; ; Today's image may be seen by running the included parameter file ; or by downloading it from the FOTD web site at: ; ; ; ; Monday was slightly breezy and chilly here at Fractal Central. ; The temperature never rose above 62F 17C, but the duo of fractal ; cats braved the harsh outdoors for all of 1/2 hour. I braved ; the harshness by sitting in front of my fractal-dedicated ; computer and seeing what I could wring out of the complexnewton ; formula. ; ; Today is starting less harsh; I expect more bravery from the ; cats. The next FOTD will appear in 24 hours. Until then, take ; care, and when life gets harsh, soothe yourself with a fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Vision_of_Lobsters { ; time=0:01:23.92--SF5 on a P200 reset=2003 type=complexnewton center-mag=+0.794221\ 4425060987/+0.02949640821997954/550.0325/1/-15/1.3\ 616607841e-012 params=0/-10/1/0 float=y maxiter=500 bailout=9 inside=0 logmap=12 periodicity=0 passes=1 colors=000Qp_Om_NjYJgXIdVGaVEZTDWR9TQ8QQ6NO4LN2HL0\ CL08J03I00G00I00G00G40G91GG1GL2GQ2GX4Ea6Eg6El8Es8E\ x9Ez4Dz9EzDGzGGzJIzNJzQJzTLzXNz_NzbOzfQzhQziQzKqzQ\ lzRizVfzXbz__zaXzdTzfQziNzkJznEzpBzs8zt4zx1zz0zz0z\ z0zz0zz0zz0zz0zz4zzGzxRztbzsnzslztkztgzwfzwdzxazx_\ zzYzzXzzTzzRzzQzzNzzLzzJzzIzzEzzDzzBzz8zz6zz4zz2zz\ 0zz0zz0zz0zz0zz0zz1zz4zz8zzBzzEzzIzzJzzNzzQwzTtzXq\ z_nzbkzfhziexkgxnkwqnwtqtxstzwszzszzqzzqzzszxszwtz\ stwqwsnwpkxkixgfzddzapdLzJ4z00z00z40z80zD0zG0zL0zO\ 0zT0zY0za0zf0zi0zn0zl0zq0zw0tz0lz0fz0Yz0Rz0Tz0Tz0T\ z0Vz0Vz0Vz0Vz0Xz0Xz0Xz0Xz0Yz0Yz1Yz2Yz4_z4_z6_z8_z9\ azBazBazDazEbxGbwIbwIdtJdtLdsNdsOfqOfqQfpRfpTgnVgn\ VglXglYik_ikaiiaiibkgdkgfkfgkfgldflbdnabn_apYapY_q\ XYqVXsTXsRVtQTtQRwOQwNQxLOxJNzILzILzGJzEIzDGzBEz9E\ z9Dz8Bz69z49z28z16z14z02z02z01z00z00z00zQ0xt0ts0sq\ 2qp6pp8lnBklEYxdXtdTqbRpa } ; END PARAMETER FILE========================================= ; ;