; Date: Thu, 03 Jul 2003 10:24:18 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-07-03 (Shimmering Midget [7]) ; Id: <1.5.4.16.20030703102413.226f828e@pop.mindspring.com> ; --------- ; ; FOTD -- July 03, 2003 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Sometimes fractals shimmer. Or they can be made to appear to ; shimmer. The subtle wavy fringes around the edges of the main ; pattern in today's image remind me of something shimmering in ; the distance on a hot afternoon. With only a moment's thought ; I named the image "Shimmering Midget". ; ; The parent fractal was created by subtracting Z^(-1.33) from ; Z^(1.33) and adding (1/C). It is a distorted Mandeloid rotated ; 45 degrees from the 'normal' position, with its East Valley on ; its southeast side. Normally, this would mean that its main ; period-2 bud was on its northwest side, but as I said, today's ; parent fractal is distorted. The main bud, or the bud that ; should be the main bud, is actually located on the south-south- ; west side of the parent. It is not the largest bud -- that ; honor goes to the period-4 bud to the right of the main bud, ; with the period-3 and period-5 buds right behind. This is one ; of the things distortion does to Mandeloids. ; ; Today's scene is located near the tip of a chain of pseudo-buds ; on the bud side of the left branch of the Seahorse Valley of the ; parent fractal. Seahorse Valley is always the valley that ; encloses the period-2 bud, regardless of whether that bud is the ; largest or is located exactly opposite East Valley. The ; features that are found there will always have an underlying ; similarity to those in the classic Mandelbrot set, though the ; details will change. In today's image, the shimmering effect is ; one of the changed details. ; ; For midgets with really new features, one must find unlikely ; areas of non-classic-shaped parent fractals, and examine the ; parts that are critical. It is not always easy, in fact it is ; often downright hard to tell which areas are critical. As is so ; often the case in life, the harder the scene is to find, the ; more it is likely to be worth. Finding these critical areas is ; a large part of the fun of using the MandelbrotMix4 family of ; formulas. ; ; Because of the unusually brilliant blue coloring of today's ; image, I have rated it at an above-average 7. The render time ; of 17 minutes is getting into the area where the download of the ; already-completed image makes more sense. The download can be ; found at: ; ; ; ; and at: ; ; ; ; The rain held off until 3pm on Wednesday, giving the fractal duo ; ample time in the yard before being forced indoors. The tempera- ; ture of 77F 25C was close to ideal, making their day at least ; good if not great. But this morning the rain is still falling. ; It is due to end soon, but who knows for sure what will happen, ; certainly not the weather experts. And who knows the moods of a ; cat? ; ; One thing certain to happen is several hours of work. I've got ; another job from a customer who doesn't know what he wants, but ; does know when he gets something he does not want. And the time ; to start on it is now. Until 24 hours from now, take care, and ; adopt a needy fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Shimmering_Midget { ; time=0:17:45.60--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.11844856655981260/+0.742760244255860\ 20/1.782961e+010/1/27.5/-0.000246466487240595833 params=-1/-1.33/1/1.33/0/0 float=y maxiter=2000 inside=0 periodicity=10 colors=000z0zu0yk0oe0gY3ZRDRIKIDVB5c30k09`0HR0PH2Y\ 73e05n07v09z0Bz0Bz0Fv0Ho0Kg0NZ0RT5TKBYFIZ7Rc0Ye0ei\ 0nk0un0oc0kT0gI0cB0Z20V00R02V03Z55`F7ePBiZDkiFouHr\ zDozBnz7az5by2cy0cx0cy3cy9bzDZzIfzPWzT`zZ`zc`ziZzo\ ZzuZzzZzzZzeIuI5`00I002TnzRgzP`zNYzNRrKNiIH`IDVH7N\ F2FD07D00B009009009009209D09P09`07e05k53oB3uF2zK0z\ R0zV0oN0YF0F700000000000000000200520B20F20K20P30V3\ 0Z30e30i50o50u50z50zH0zR0zc0yn0vz0uz0rz0oz2`uPNgn9\ nuFrzIyzNzzTzzYzz`zzezzgvzikzk`znRzoHyz7tu0ov0ky0g\ z0cz0_z0Wy0Uu0So0Pk0Ne3K`9HYHFTNDNVBIo9Fv7Bv57vD9v\ IBvPDcVFZ`FYiHToIRvKNzNKzNVzBez2nz0yz0zz0zz0yv0uoD\ ogRk`eiVreRu`NuYIuTFuPDuK9uH5vD2v90v50v20v00v00v00\ u00r30r50o90nB0nD0kH0iI0iN0gP0eT0eV0cY0cZ0g`0kc2ne\ 7reDvgHyiNzkTzkYzcRzVNzPIvHFu9Bo37k03g00e00`00Y00V\ 00R07P0BN0DK0FI0HI0IH0KF0ND0PD0TB0V90Y70Z70`50c30e\ 20g20i50k70n90oD0rFzRFzi3 } frm:MandelbrotMix4 {; 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, 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================================== ;