; Date: Sun, 19 Jan 2003 09:38:47 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-01-03 (Maximum Spirals [5]) ; Id: <1.5.4.16.20030119094138.0db72528@pop.mindspring.com> ; --------- ; FOTD -- January 19, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Since yesterday's FOTD I have continued to work with a variation ; of the Tman formula that was posted on Friday. Working with ; this formula gives the impression that more than three dimen- ; sions are involved. I can get no clear mental image of slicing ; through a single 3-D object. And if there is only one dimension ; in addition to the two on the screen, why are the two variable ; parameters needed to fully explore it?. Morgan has also commen- ; ted on this, but for now, we'll assume that we're dealing with a ; three-dimensional M-set (and a six-dimensional Julibrot?). ; ; Today's image lies in the default fractal created by the TMan1 ; variation, near the point at the northern edge, where the two ; straight stretched arms criss-cross. I named the image "Maximum ; Spirals". I have rarely seen an image with so many spirals ; surrounding a midget. ; ; In the parent fractal, the scene is stretched, (foreshortened ; actually), and skewed. So in order to have a normal image I ; needed to unstretch and unskew the scene. When this was done, I ; was left with an image that rates a 5. ; ; I could rate the image no higher than a 5 because it duplicates ; scenes that lie in spirals in many valleys of the classic M-set. ; I don't expect to find any totally new Mandelbrot features in ; this formula or its variations. The interest lies in discover- ; ing which parts of the classic M-set are reflected in which ; parts of the new-shaped Mandelbrot fractals. ; ; I'll continue working with these fractals of ambiguous dimension ; for a few days, then it will be back to the ever-fruitful M-Mix4 ; formula. ; ; The render time of 9 minutes can be avoided by downloading the ; GIF image from: ; ; ; ; or from: ; ; ; ; The weather was sunny but very cold and breezy all day here at ; Fractal Central. The temperature in the teens F, around -9C, ; kept the dynamic cats glued to the warmest spots they could ; find. They moved around enough to ask for food and eat, but ; retired as soon as their meal was done. It's cold again this ; morning, with clouds and a few flakes of snow in the air. But ; it is not as cold as yesterday. Only time will tell if the ; snow will turn heavier and if the intrepid cats will venture ; outdoors. ; ; I find myself with nothing to do again today. If I play my ; cards right, I'll get through the entire day without doing ; anything that can be considered work. Until next FOTD, take ; care, and one must work hard to be truly lazy. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Maximum_Spirals { ; time=0:09:08.43--SF5 on a P200 reset=2002 type=formula formulafile=triter.frm formulaname=TMan1 passes=1 center-mag=-0.003218524\ 4524517/+0.7498998373975185/2.623604e+007/4.125/-4\ 6.9647077347951267/-9.94802466789319162 params=0/0 float=y maxiter=4200 inside=0 periodicity=0 colors=000kRElLInRFoXDqaBrg8tm6tt1ur4uq6up9uoBunDu\ mGulIukLujNuiPuhSvgUvfXveZvd`vccvbevahv`jv_lvZovYq\ vXsuWruWquWpuVouVnuVmuUluUkuUjtTitThtTgtSftSetSdtR\ ctRbtRasQasQ`sQ_sPZsPYsPXsOWsOVsOUrNTrNSrNRrMQrMPr\ MOrLNrLMrLLvJJrLLoNMkOOhQPeRRaTSZVUVWVSYXOYXPZYQZZ\ QZZRZ_SZ_SZ`TZaUZaU_bV_bW_cW_dX_dY_eY_eZ_fZ_f_`g_`\ g_ah`ah`ai`bi`biacjacjackbdkbdkbdlbelcemcfmcfmdfnd\ gndgodgoehoehpeipfiqfiqfjqfkrgkrgksglshlshlthlvhlu\ ikwikuikvjkxjkyjkwjjwijuhjsgjsfiqehodgmcflbejadi`c\ g_afZ`dY_bXZaWY_VWZUVXTUWTTUSSTRRRQPQPOOONNNMLMLJL\ JIKIGJHFIGDHFCGDAFC9EB7DA6C94B71C83D95EA7FA9GBBHCD\ IDFJDGKEILFKMGMNGOOHQPISQJUQJVRKXSLZTM`UMbVNdWOfXP\ hYPiZQk_Rm`SoaSqbTscUudVwcWwdVxdVxeVxeVxeUyfUyfUyg\ UygTzgTzhTzhTzhTziUwiVuiWsiXqiYojZmjZkj_ij`gjaekbc\ kcakc_kdYkeWlfUlgSlhQlhOliMmjKmkImlGmmEnoBmmCmlClk\ CljCkiCkhCjgDjfDidDicDhbD } frm:TMan1 { c1=flip(real(pixel)),c2=imag(pixel),c3=p1 z1=z2=z3=0: t1=z1*z1+2*z2*z3 t2=z3*z3+2*z1*z2 t3=z2*z2+2*z3*z1 z1=t1+c1,z2=t2-c2*c2,z3=t3+c3 z=z1+z2+z3 |z| < 8 } ; END PARAMETER FILE================================== ; ;