; Date: Sat, 26 Jul 2003 10:34:06 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-07-03 (Blazing Rectangle-2 [5]) ; Id: <1.5.4.16.20030726103414.2b27f394@pop.mindspring.com> ; --------- ; ; FOTD -- July 26, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; In today's image we take another look at the rectangle that ; caught fire in yesterday's image. That rectangle, which is ; located in the Z^2.003+C Julia set with a C-value of -1.7435, at ; the Z-coordinates of 0.00019,0.07388 and at a magnitude of 100, ; is one of the most curious things I have yet discovered in the ; world of fractals. ; ; When viewed as a Julia set, it is as perfect a rectangle as one ; will find in any random fractal. But the slightest deviation ; from the Julia orientation has a devastating effect on it. A ; rotational deviation of as much as 1 degree totally destroys the ; perfection of the rectangular shape and produces a curvilinear ; quadrilateral such as we have in today's image. Changing the ; imaginary part of the C-value even the slightest distance from ; zero has an even more devastating effect. The entire rectangle ; rapidly falls apart into fractal debris and vanishes into the ; fractal ether. ; ; Since today's image is another sequel, I have named it "Blazing ; Rectangle-2". As an FOTD, it rates an average 5, but hey, the ; average FOTD is nothing to be sneezed at. And the render time ; of 5 minutes is fast enough to make the attached parameter file ; a near-joy to run. ; ; Those who prefer the acquisition of their fractals to be total ; ecstasy may download the completed GIF image file from one of ; the two FOTD web sites: ; ; ; ; and: ; ; ; ; Friday, with its brilliant sun and temperature of 86F 30C, ; turned out to be one of those rare perfect summer days here at ; Fractal Central. The fractal cats were in one or their rare ; near-perfect moods as they passed the afternoon in the yard. My ; mood was a bit less than perfect as the work piled up faster ; than I could accomplish it. ; ; Today's weather is promising to be less than perfect, but still ; quite pleasant. If I can finish the modicum of work by noon, ; I'll have a pleasant enough day. And I'm certain to find an ; interesting fractal before the day ends. To see that interes- ; ting fractal, check back here in 24 hours. Until then, take ; care, and is truth a fractal? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ BlazingRectangle-2 { ; time=0:04:59.97--SF5 on a P200 reset=2002 type=formula formulafile=julibrot.frm formulaname=SliceJB-new passes=1 center-mag=+0.004\ 99268009490636/-0.00325779513771971/76.89922 params=0.5076/0.5037/0.49256/0.49876/2.003/0/-1.74\ 35/0/0.00019/0.07388 float=y maxiter=1000 inside=bof61 logmap=51 periodicity=10 colors=000GADIAFJAHKAJMALNANPAPQARSBTTBVUBXWBZXC`Z\ Cb_Cd`CfbChcDjeDlfDngDpiErjEtlEvmExnEzoGzpIzpKzqMz\ qOzrQzrSzsUzsWztYzt_wubtueqvhnvklwnjwqhytgywhzwhzw\ hzmczjfzgizdczaYzZTzWNzTHzQCyN6xK1wJ5uI9sHDqGHoFLm\ FOkESiDWgC_eBccBfaAj_9nY8rW7vU7yS9wQAuOBsMCqKDoKEm\ MFkOGjQHhSIfTJdVKbXL`ZMZ`NYbOWcPUeQSgRQiSOkTMlULhS\ MdQM`OMXMMTKMPIMLGMHEMDCM9AM59MF8MO7MX6Me6Mc7La8L`\ 9KZAKXBKWCJUDJTEJRFIPGIOIHMKHKMHJOGHQGGSGEUFCWFBYE\ 9_E7aE6cD4eD3gD6iE8kFBmGDnHGnIImJLlKNkLPjMSiNUhOXg\ PZfQaeRcdSecTd`SdYRdWQdTPcQOcONcLMcILcGKbHNaIP`JSZ\ KVYLXXM_WMaUNdTOgSPiRQlPRoOSqNTtLSwMTvMTvMTvMTvNTv\ NTvNTvNTvNUvOUvOUvOUvOUvPUvPUvPUvPVuRVuQVuUVuQVuXV\ uRVu_VuRWubWuRWueWuSWuhWuSWukYvSXunWuTVtqVtUUttTsU\ SswSsVRrzQrWPrzPqXOqzOqYQpzSpZUozWo_Yoz_n_anzcn`em\ zgmaimzklbmlzopaqnzslcukzwiezhzzfgzdzzcizazz`kzZzz\ YlzWzzUnzTzzRpzQzzODzfzza } frm:SliceJB-new {; by John R. H. Goering, July 1999 pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1), b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5): z=z^(p3)+c |z|<=9 } ; END PARAMETER FILE================================== ;