; Date: Fri, 03 Sep 2010 19:30:33 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-09-10 (Radically Different [9]) ; Id: <1.5.4.16.20100903193026.110f1d08@pop.mindspring.com> ; --------- ; ; FOTD -- September 04, 2010 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is something different. In fact, it is so differ- ; ent that it might be called radically different, which is what I ; named it. The name is even more appropriate since I think it ; was Mr. Mandelbrot himself who gave the name 'radical' to the ; entire area of influence (filaments, stars, etc) associated with ; the familiar Mandelbrot buds. ; ; There is no doubt that the things lining the bottom edge of the ; frame in today's image are Mandelbrot buds. The doubt arises ; when the rest of the image is taken into consideration. Some- ; thing is definitely awry with the lesser-iteration stuff in the ; upper part of the frame. ; ; The scene is sliced at an angle only one degree from the Oblate ; direction, which means that in the undistorted parent fractal, ; (which is worth checking), the mandelbrot stuff, including the ; buds, are stretched in the horizontal direction to 57.29 times ; their normal extent. To correct this distortion, I squeezed the ; X-dimension of the parent down to 0.017455 of its normal value. ; The trig literate know why I used these values. ; ; This scrunching wreaked havoc with the lesser-iteration stuff, ; but it made quite an interesting image, once I worked on the ; coloring a bit. The resulting image resembles a sunset scene on ; a totally alien planet, where fractals are reality and material ; is imaginary stuff created by computers from material formulas. ; ; The rating of a superlative 9 includes a full point for the ; coloring. The calculation time of 10-1/2 minutes is a bit slow, ; but this drawback may be avoided by viewing the finished image ; on the FOTD web site at: ; ; ; ; Lots of heat continued here at Fractal Central on Friday, though ; the sun was weakened by high clouds from Hurricane Earl, which ; passed by 300 miles to the east during the day. Not being ; weather buffs, the fractal cats survived the temperature of 90F ; 32C by stretching on the cool kitchen floor. ; ; The humans had an average day. I'll be alone at FC on Saturday ; while FL attends a nephew's wedding in Havre de Grace, MD. This ; should give me a great opportunity to find a fractal or two. ; Look for the next FOTD in 24 hours. Until then, take care, and ; humanity surely is in a spot. It knows that the over-population ; will eventually overwhelm the earth's resources, and technology ; will not be able to save it, yet it is helpless to stop the run- ; away reproduction. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= RadicallyDifferent { ; time=0:10:28.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=slicejulibrot4 passes=1 float=y center-mag=+0.4220691763543036/+0.1260867862281196\ /37.40621/0.5733/-5.65341784535408021/-84.170238\ 4804418955 params=0/0/89/0/-0.75/0/0/0/2/0 maxiter=100000 inside=0 logmap=48 periodicity=6 colors=0007Fi7Fj7Fj6Fk6Fk6Fl6Fl6Gl6Gm6Gm5Hn5Hn5Hn5\ Ho5Io5Ip5Ip4Jq4Jq4Jq4Kr4Kr4Ks4Ks3Kt3Kt3Kt3Ku3Ku3Kv\ 3Kv2Kw2Kw2Kw2Kx2Kx2Ky2Ky2Ky3Kx3Kx3Kx4Kx5Kw6Kw7Kw8K\ w9KvAKvBKvCKvDLuEMuFNuGOuHPtIPtJPtKPtLPsMPsNPsOPsP\ PrQPrRPrSQrTQqUQqURqURqURpUSpUSpUSpUToUToVToWToXUn\ YUmZTl_Tk`SjaSibRhcRgdQfeQefPdgPcgObgObgNcgNehOeiP\ gjQikRjlSklTmkUnjVoiWrhXpgYofZne_md`mcambama`m``m_\ `mZ`mY_mX_mWZmVZmUZmTZmSZmRZmQZmP_mO_mNamM`mL`mK`m\ J`mI_lH_kGZjFYiEYhDYgEZgF_hG`iHakIamJboKcqLcsMcuNd\ wOexPfyQgzQhzRhzSgyUfxWezYdv_cuactccsdcqecofcmgclh\ ckickjcjkcjlbimahm`hm_gmZfmYfmXemWemYdnZco_cpabqba\ rcase`tf`ug_viZwjZxkYymXznXzoWzpWsnXtmYulZvk_wi`xh\ aygazfbzeczcdzbezafz`gz_gzYhzXizWjzYkzalzemzimzmnz\ mozmpzmqzmrzmszmtzmuzmvzmwzmvzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;