; Date: Fri, 26 Jul 2002 10:09:19 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-07-02 (Quadrapod Minibrot [8]) ; Id: <1.5.4.16.20020726100956.0d972c0a@pop.mindspring.com> ; --------- ; FOTD -- July 26, 2002 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; After a long fractal drought, we finally have a fractal that ; rates an 8, a rating that equals much above average on my ; conservative 0-to-10 scale of fractal worth. Actually, the ; fractal itself is quite humdrum in the mathematical sense. Most ; of the high rating is based on the coloring, which in a moment ; of excessive fractal zeal, I devoted an entire half-hour to. ; ; The parent fractal of today's scene consists of a Mandelbrot ; figure with several large irregular open holes at the end of ; some of its filaments, and strings of smaller holes at the ends ; of others. There is also a string of holes extending outward ; from the center of East Valley. Today's image lies in an ; isolated, cut-off feature near this string of holes. ; ; The string-of-holes nature of the area in which today's image ; lies is reflected in the four strings of holes radiating from ; the brilliant red flower around the central midget. Since ; there are four of these 'arms', I named the image "Quadrapus ; Minibrot". (I have no idea what a real 'quadrapus' might be, ; though the fractal cats might fit the description.) ; ; The formula of the image uses the golden ratio, 1.618..., which ; often appears in the designs of nature. The ratio also appears ; at places in the Julibrot, where least expected, but that's ; another story for another day. ; ; The render time of 3 minutes from the parameter file is close to ; the time required to go online and download the completed GIF ; image from Paul's web site at: ; ; ; ; or from Scott's site at: ; ; ; ; The fractal weather Thursday here at Fractal Central featured a ; pleasant break from the oppressive heat and humidity that ; usually plagues this part of the world at this time of year. ; Lots of clouds and a cool breeze off the ocean held the ; temperature to 79F 26C. The grass, still wet from an early ; morning shower, was a bit too uncomfortable for the dynamic ; duo, who prefer their paws dry, but they did spend a few ; relaxing hours on the dry porch, watching the local birds. ; ; And I'm also going to relax -- but not until I finish the work ; that needs to be done. Until next time, on Monday the 28th, ; take care, and keep the ratio golden. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE================================ Quadrapus_Minibrot { ; time=0:03:39.53--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.85097707624026200/-3.007861364773440\ 00/5821280/1/-115/1.56494616987412627e-008 params=1.5/1.618/1.5/16.18/0/0 float=y maxiter=400 inside=0 logmap=71 periodicity=10 colors=00020K10K00K40MBAQI9WPMcXcadt_lzZtzXlzUdvRX\ qOPlLKgIPcFU_C_W9eR7lM4sI1yE0z90zd0zZ0yS0sB0nB2gC5\ cE7XF9TFCMHEIIHCKK8KL7PH5WCBTEHRFLOFRMHXLHaIIgHIlE\ KsCKyBLz8Lz7Mz5Mz8Pz9RzCTwEUtFWoIXlKZgMadOc_PdXTeT\ UgPXiLZjI_lIZlIWlBTg4Pc0PZ0PU0tU0PW0PW0PW0PWIIa09W\ 0BW0BX0BX0CX0CX1EX1EZ1EZ1FZ2FZ2FZ2HZ2H_4I_4I_4I_5K\ _5Ka5La5La7La7Ma7Ma7Mc8Oc8Oc8Pc8Pc9Pd9Rd9Rd9RdBTdB\ TdBUeBUeCUeCWeCWeCWgEXgEXgEZgEZgFZgF_iF_iF_iHaiHai\ HdjHggIjdLnaOqZRtWUtTUtPUtITtBTt4Tt1Rt2Rt5Rt7Pt9Pt\ BPtEOtFOqIOnKMjMMgOMdRLaTLZWLWXKW_KXaK_dPacXcadd_l\ dZtdXzcWzcUycTwcTtcUscWqcWncXlcZicZgd_dd_cda_dcZdc\ XddUdeTdePddXaXdZPlWItTBwR4vT0vU0tW0tX0sZ0s_0qa0qc\ 0od0ne0ng0li0lj1jl1jn2io4iq5gs7gt8et9dt9dtBctCctEa\ tFatH_tI_tKZtKXtLXtMWtOWtPUtRUtTTtTTtURtWRtXPt_Otc\ OteMtiMtlLtoLtsLtvKtyItzKtzItzItzItzItzItzItzItzIt\ zItzItzItzItzItzItz5tq4to } 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================================== ; ;