; Date: Sat, 14 Dec 2002 10:12:05 EST ; From: JimMuth@aol.com ; Subject: [Fractint] FOTD 14-12-02 (The Blade [5]) ; Id: <102.212de92b.2b2ca445@aol.com> ; --------- ; FOTD -- December 14, 2002 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; With much shopping to get done before the day ends, I will have ; to make today's FOTD discussion a fast one. ; ; Today's image pictures an enigma. "How can it be like that?" I ; ask myself as I study the image, which combines both Julia and ; Mandelbrot features of the (-Z)^2.003+C Julibrot. ; ; The scene is located in the East Valley area of the large midget ; on the split-up main stem of its parent. The outer part of the ; image is in the shape of a slightly distorted typical-East- ; Valley Julia set. Since the direction of the slice is slightly ; rotated from the exact Julia orientation, this distortion is to ; be expected. But the outer almost-Julia set is filled with the ; grossly stretched and enlarged apparition of the East Valley of ; the Mandelbrot midget itself. ; ; I do not know how it can be like this. It is a mystery. How ; can one look through an open Julia set and see an enlarged part ; of the Mandelbrot set? I know well enough how the numbers work ; to create the four-dimensional whole, but to picture that four- ; dimensional whole is as impossible to me as knowing the future ; or changing the past. I can comprehend it; I cannot see it. ; ; This mystery, this enigma, is what keeps me fascinated with ; fractals. To be so close to visualizing, yet stopped by my ; natural limits is frustrating, but at the same time, fascina- ; ting. Reading the books written by others who share my frustra- ; tion leads me to realize that the future is hopeless. Neither I ; nor anyone else shall visualize a four-dimensional object as it ; exists in its entirety in its own space at a single moment of ; time. And if anyone were to actually visualize something as ; simple as even a hypercube, that person could do no more than ; describe the arrangement of its parts -- a thing that we already ; know. The visualization would be impossible to communicate. ; ; I named today's image "The Blade". The distorted greenish ; object visible in the open area does resemble a blade. I rated ; the image at a 5, which is average. The render time of 3-3/4 ; minutes is also about average. And for those who would rather ; not render, the completed image can be found at: ; ; ; ; and at: ; ; ; ; and downloaded from there. ; ; The rain arrived at 1pm on Friday, and fell steadily for the ; rest of the day. Despite the chilly temperature of 39F 4C, the ; fractal cats managed just enough outdoor time before the rain ; began to keep them happy until evening. ; ; This morning is once again threatening rain, and I can no longer ; put off the shopping that is unnecessary yet necessary at this ; time of year. But this evening, when the running around is ; behind me, I'll turn once again to fractals and the worlds that ; numbers create. Look for the next fractal in 24 hours. Until ; then, take care, and don't be too busy to enjoy the day. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ The_Blade { ; time=0:03:44.59--SF5 on a P200 reset=2002 type=formula formulafile=julibrot.frm formulaname=SliceJB-new-min passes=1 center-mag=0.\ 00501044/-0.000625978/8.912656/1/90/3.885780586188\ 04789e-016 params=0.487/0.488/0.508/0.511/2.003/0/\ -1.74714/0/0/0 float=y maxiter=3000 inside=0 logmap=yes symmetry=none periodicity=10 colors=000VKlTJmRIoQHpOGrMFsLEtECY8ACBCEDEGFFIHHKK\ JLMKNOMPQNRTPTVRUXSWZUYaW_cXaeZbg_djaflchndjpfkshm\ uiowkqylrwisvfttctsauqZupWvoUvmSrlQojOkiMhgKefIadG\ ZcEWaCS`APZ8MY6IW4FV3CT6DS9EQCFPFGNIHMLIKOJJRKHULG\ XMF_NDbOCePAhQ9kR7nS6qT4tU3wV2yW6tY9o_Ck`FfbIbcMYe\ PTgSPhVKjYGkaM_dSObUP`WQ`ZR`_U``X`a_`bb`cdabfaagb`\ hb_ibZjcYkcXldWmdVndUpeTqeSrfRsfQtfPugOvgNwgMxeNvd\ OtcPrbPpaQn`Rm_SkYSiXTgWUeVUcUVbTW`SXZQXXPYVOZTN_S\ M_QL`OKaMIaKHbIGcHFdFEdDDeBCf9Bf8Ae7Ae7Ae79e69e69e\ 69e68e58e58d57d47d47d47d46d36d36d36d37c47c48b48b59\ b59a5Aa5Aa6B`6B`6C`7C_7D_7D_7EZ8EZ8FY8FY9GY9GX9HX9\ HXAIWAIWAJWBJVBKVBKVBJWCJXCJYCIYDKZDL_DM_EN`EOaEPb\ FQbFRcFSdGTdGUeGVfHWgHXgHYhIZiI_iI`jJakJbkJclIdmHe\ nGfoFgpEhqDirCjsBktAlu9mv8ow7qx8sy8uz8wz8yz9zz9zz9\ zz9zzAzzAzzAzzAzzBzzBzzBzzBzzBzzDzzFzzHzzJzzLzzNzz\ PzzRzzTzzQzzOzzMzzKzzHzzF } frm:SliceJB-new-min {; thanks to John Goering, July 1999 pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1), b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5): z=(-z)^(p3)+c |z|<=100 } ; END PARAMETER FILE================================== ;