; Date: Mon, 15 Oct 2007 21:28:30 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-10-07 (Hyper-Dry Valley [6]) ; Id: <1.5.4.16.20071015212934.2a5718d0@pop.mindspring.com> ; --------- ; ; FOTD -- October 16, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's curious image is another venture into the fractal that ; results when 0.2 parts of Z^3 are subtracted from Z^2 before C ; is added. This fractal appears as a Mandelbrot set rotated 180 ; degrees, with an extra spike extending from its East Valley, ; which of course is on its west side. ; ; But today we ignore this extra spike and check the more conven- ; tional spike extending eastward from the Mandeloid's nose. ; There is a very prominent minibrot on this spike, which appears ; to be two partially merged minibrots. Today's image is located ; rather deep in the northern branch of what at first appears to ; be a Seahorse-type valley, but actually is an entirely new type ; of valley. ; ; I named the image "Hyper-Dry Valley" because despite the promis- ; ing appearance of the chaotic yet symmetrical 'object', I could ; find no minibrot at the center. The minibrot might be there, ; but the resolution failed before I reached it. ; ; Despite the disappointment, I rated the image at a 6. The ; fractal object, if indeed it *is* an object, has such a real ; appearance that I could do no less. I'll leave it to the philo- ; sophers to argue the actual reality of fractal objects such as ; the Mandelbrot set. ; ; But one thing that cannot to be argued is the calculation time ; of the image, which is a rather slow 10-3/4 minutes on the ; fractal fireball, and just over one hour on the fractal snowball. ; ; The finished image has been sent ahead to Paul at the FOTD web ; site, and by the time you read this, it should be already posted ; and ready for instant viewing. ; ; ; ; Very fine weather prevailed here at Fractal Central on Monday, ; with sunny skies and a temperature of 68F 20C. The fractal cats ; enjoyed the sun from their shelf in the window. My day was as ; average as the fractal. I expect another average day tomorrow, ; but hopefully the fractal will be better. The next FOTD will ; appear in 24 hours. Until then, take care, and everyone has ; some degree of faith in something. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Hyper-Dry_Valley { ; time=0:10:44.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+1.589436551517345/+0.0185571325367402/\ 7.396629e+011 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=10000 inside=255 periodicity=10 colors=000nVbmUflUikTlDVOB_O9dO7iN6gb5er3cz3cz3cq4\ dh9ZgFTfLNeRHdXBbbHahN_oUYePSWKMLEGLHHLKILNJLQKLTL\ LXNNYPPZRR_TUaWWbYYc_`ebaf_bgXchUdjRekOflLgnIjaOmO\ UqA`hGW_MRRSMIZHOcLUhQ_mVer_kwdrzilyhftg`pfVkdPgcJ\ bbDZa6U_B_eGekLlrIjmEggBda7bX4_R0XL9TNJOPTJSaEUk9W\ u4Zp6Wk9SeCP`FLWIIQLEOW_LgunJElNGjRIgVKe_NccP`gRZk\ TWpWZ`YaL`cJYfHViFSlDPoBMr9Ju7Gx4DxJNxYXxlfxzqrznk\ zkdzhZzdSzaLzZEzVKx`RugYsmdptknzrkzjguabhTYWQSeNLo\ KFyH8zGEzFKyEQtCWnBaiAgc8mYAgcCaiEahHagJ`fM`eP_dR_\ cUZbXZ`ZZ_aYZcYYfXXiXWkWVnWUqVSqVSpWSpWToXToXUnYUm\ YUmZVlZVl_Wk_Wj`XhZWeXVcVU`STZQRWOQULPRJOPHNMELNEQ\ ODSPDUQCURCUSBUTAUUAUV9RX8DTIJOSOJaTEkY9ucCqeGmgJi\ iNdkQ`mUXnXSo`OpcKqgFtdFqaFnYFkVFhSFeOFbLFdHFaEFZB\ FW7FT4FQ0GNBKLNOJYSHiWFu`Du`Gt_JsZNrYQqYTpXXoW_H00\ K00N00Q00T00W00Z00a50eA0iF0mK0qP0tU0wZ0yc0vh0sm0oh\ 0lc0hZ0eU0bW0`X0YY0WZ0T_0 } frm:MandAutoCritInZ {; 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint