; Date: Tue, 10 Feb 2004 10:41:00 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 10-02-04 (Order from Chaos [5]) ; Id: <1.5.4.16.20040210104331.2aa7fa40@pop.mindspring.com> ; --------- ; ; FOTD -- February 10, 2004 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; With today's image we tunnel quite deep into the Mandelbrot set. ; At the end of our trip we find ourselves in a remote valley just ; off the northwest shoreline of the main bud of the large midget ; on the negative X-axis. This area consists of areas of wild ; chaos interspersed with relatively orderly and almost straight ; filaments. The nature of the general area, with its mixture of ; order and chaos, is reflected quite well in today's image, which ; I have named "Order from Chaos". ; ; The magnitude of the image is really in the range of arbitrary ; precision math, but I have forced the program to use the conven- ; tional math routine by including the 'mathtolerance=/1' entry in ; the parameter file. In such a chaotic image, the resulting ; breakdown in resolution is barely noticeable, and the time saved ; is a sizable part of a day. ; ; One result of forcing the use of conventional math is the ; unwanted stretching and skewing, which is reported on the 'tab' ; screen of the image. This distortion is barely noticeable, but ; those who wish to render the image marginally more accurately ; may be re-enable arbitrary precision math by striking the 'g' ; key and entering the command 'mathtolerance=/0'. ; ; The 'logmap' method of coloring does not work with today's ; image. The 'tdis' option runs very slowly. The other outside ; coloring options either create too much chaos or run far too ; slowly. The best method I found of coloring today's image is ; also the simplest -- outside=iter logmap=0. ; ; When the time came to rate the image, I was undecided whether to ; consider the overworked nature of the M-set. Is today's image ; really that unusual? After almost 20 years of exploration, is ; there anything truly new to be found in the M-set within the ; range of conventional math? One would think so. At the magni- ; tude of today's image, the entire M-set would be about as large ; as the solar system. And except for the X-axis symmetry, no two ; spots of the M-set are identical. But the differences are often ; infinitesimal, and for all practical purposes, the major varia- ; tions have long since been found. Considering all this, I rated ; today's image at an above-average 6, which, with the render time ; of just under 5 minutes, gives an overall value of 125. I must ; get a machine fast enough to make arbitrary precision math prac- ; tical. Way down deep is where the undiscovered M-set goodies ; lie. ; ; To see the image, run the included parameter file and sit back ; to watch the fun, or go to Paul's FOTD web site at: ; ; ; ; and download the image from there. ; ; The clouds moved in quickly here at Fractal Central on Monday, ; but the temperature reached 46F 8C, which was mild enough for ; the fractal cats to enjoy a full 90 minutes in the yard. They ; must have enjoyed their outing. When the day ended, they were ; content to settle down without a special treat. ; ; Today brings both work and fractals for me. The work I will ; finish; the fractals will never be finished. I shall return in ; 24 hours with more goodies, some concrete, some abstract. Until ; then, take care, and the search for truth is all too often ; hindered by the difficulty in recognizing and accepting it. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Order_from_Chaos { ; time=0:04:50.28--SF5 on a P200 reset=2003 type=mandel passes=1 bailout=9 center-mag=-1.77551631029264878/0.0045532172225712\ 74/3.305215e+013/1.0404/13.9106570650115682/-0.977\ 835246052904727 params=0/0 float=y maxiter=80000 inside=0 periodicity=10 mathtolerance=/1 colors=000_hnaiocjpekqflrdiocgmcekccicagc_ecYccWcc\ UccSccQccOccMccKccIcdGcdEcdCceAce8ce6cf4cf2cf0cg6c\ gCcgIchKchKchKciKcjKckKclKcmKcnHcoCco7cpAcpDcqGcrI\ csLctOcuRcvQewPgxOiyNkzMmzNnzOpzPrzQryRovPosOmpMhm\ LckKZiIUgHPeFKcEFaDA_BAZAAY8AX7AW6AV4AU3AT2AS4AR6A\ Q7AP9AOBANCAMEALGAKHAJJAILAJMAKNALOAMPANQAORAPSAQT\ BRUCSVDTWEUXFVYGWZHX_IY`IZaJ_bK`cLadMbeNceOcgPchQc\ iRajS_kTYlTWmUUnUSmUQlUOjUMhUKgUNeSPcQRbQU`SWZUYYW\ `WZbU`dTbgRdiPfkOhhNgfNfcNeaNd_McXMbVMaSM`QL_OLZLL\ YJLXHLWJNVKOULPUMQTNRTOTSPUSRVRSWQTXQUZPV_PW`OXaOZ\ bN_dM`eMafLbgLchKdiKbgLaeL`cL_aLZ_LYYMXWMWUMVSMUQM\ SPNRNNQLNPJNOHNNFOMDOLBOK9OJ7OI6OK5MM5LO5KQ5IR5HT5\ GV5EX5DZ5C_5BXCEUJHRQJOXMLcOIjRGpTKlVNhXQdZT``XXb_\ TdbPfeLhhIjaMfWPbQTZJWWD_S7bO1eL7gMChNIiNNjOSkOYmP\ bnQhoQmpRrqRnmPjjNfgLbdJZaHWZFSVDOSBKP9GM7EYbGZcI_\ dK`eMafObhQciSdjUekWflYgm } ; END PARAMETER FILE================================== ;