; Date: Tue, 27 May 2003 09:37:21 EDT ; From: JimMuth@aol.com ; Subject: [Fractint] FOTD 27-05-03 (Red and Green [7]) ; Id: ; --------- ; ; FOTD -- May 27, 2003 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's FOTD image has nothing to do with a certain Canadian ; back-woodsman. I named it "Red and Green" because those colors ; are most prominent in the image. The red-green area is ; surrounded by an extended area of lavender chaos, which sets it ; off quite nicely, earning the whole thing a rating of 7. ; ; The scene is located in an area of chaos near a small and very ; distorted Mandeloid just beyond the northern edge of the 'fan'. ; The trip back out to the surface of the mayparent fractal is ; quite interesting, and can be done most quickly in a smaller ; view window. Before starting the trip, set the passes to < g > ; and turn off the logmap. ; ; I have been aware for quite some time that the Fractint program, ; (and from what I hear, apparently the UltraFractal program as ; well), does not calculate the MandelbrotMix formulas correctly. ; It is a small deficiency but it is there. To see the 'bug' in ; operation, bring today's image to the screen and switch the (p1) ; and (p2) parameters. This should change nothing, since a+b is ; equal to b+a, but when it is done, the calculated image totally ; changes. It becomes a solid blue screen with an iteration count ; of 107. What has happened is that the parent fractal has become ; a mirror image of itself. ; ; I have never mentioned this bug because of the backward compat- ; ibility problem, and also because the formula does do what it ; was intended to do, which is set initial Z to a critical point ; of the formula, so that the image the formula draws will contain ; intact midgets. ; ; My opinion is to leave well enough alone and live with the minor ; inaccuracy, which if corrected, would cause more problems than ; it eliminates. ; ; And speaking of eliminating problems, the problem of the ; 20-minute wait to render today's image can be eliminated by ; downloading the completed image from Paul's web site at: ; ; ; ; or from Scott's site at: ; ; ; ; The cat duo had a better day than expected on Monday. The rain ; ended later in the morning and we actually had a bit of sun in ; the afternoon. When the temperature reached the trigger point ; of 66F 19C the duo snapped out of their lethargy, leaped to ; their feet, and came running, demanding to be let out. They ; enjoyed a two-hour romp in the yard, (if sitting and watching ; birds can be called a romp), before they realized how wet their ; paws were getting. ; ; This morning, the clouds in advance of the next rain have ; already moved in, and the rain is due by afternoon. If the duo ; expects to go out today, they had better wake up this morning ; and get active. As for me, I've got enough work lined up to ; keep me active most of the day. And then, there is the next ; FOTD to find and write about. So until next time, take care, ; and watch for unexpected fractal bugs. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Red_and_Green { ; time=0:20:26.98--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+4.29791870853377400/-2.096657547867527\ 00/1.096168e+010/1/-160/-8.91246113253474359e-006 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=2400 inside=0 logmap=370 periodicity=10 colors=000QTkRRjSPiSMgTKfUIeUGcVEbWCaWA`XCaXDbYFcY\ GcYHdZJeZKf_Mf_Ng_Oh`Qi`RiaTjaUkaVk7aSBcUFeWJgYNi_\ Qk`UmbYndapfdrghtilvkpxmsynukmvYmwKlx7ls7ko7jk7jg7\ ic7i_7hW7gS7gO7fK7fJBbIF_HJXGNUFRREVNDZKCbHBfEBjBC\ gFDdJEaMEZQFWUGTXHQ`HNdIKgJHkJEnIHlIJkIMiIOhIQgHTe\ HVdHYbH_aHa`K`bM_cOZdQZfSYgUXhXWjZWk`VlbUndTofTpgU\ ogVohWohXohYoiZoi_oi`ojaojbokcokdokeolfolgolzoOnZ0\ wI1rJ2pJ3mK4jK5hK6eL7cL8`M9ZMAWMBUNCRNCPN000XLLgKL\ pIKzXKyIJyJIyKHzXGxMFxNExNDwOCwPBwQAvR9vS8vT7vT6nR\ BfQFZPKROOJNTBMXzL`zYRziIzmJzmJzzJzvUzrdzmYzhRzcLz\ ZNzUOwPQtKRqFSmAUh9Vg7Wg5Yg3Zg2_d3Za4Y_4YX5XV5XS6W\ Q6WN7VL7VI8UG8UF7TE7TE6TD6SC6SC5SB5SA5RA4R94R94RC6\ TF7VI8XL9ZOA`RBbUDdXEf_FhbGjeHlhInjJoDbcCdjBfqDgmE\ hjFifGjcHk`JlZKmYLnWNoVOpTPqSRrRSsPTtOVuMWvLXwKVxJ\ TyJRzJPzINzILzIJzIHzHFzHDzHCzHYzBsz5izD_zLQzTHz`Bz\ T5zL0zEHzhJzgNzqOzoPznQzm } frm:MandelbrotMix2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE==================================