; Date: Wed, 02 Jul 2003 09:53:58 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-07-03 (A Fractal in Paradise [6]) ; Id: <1.5.4.16.20030702095352.390f6a9e@pop.mindspring.com> ; --------- ; ; FOTD -- July 02, 2003 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Where do good fractals go when they die? I would assume, to ; fractal paradise. And what do these fractal angels see in ; paradise? Glorious fractals of course. Today's image might ; not be glorious, but it's been good enough to earn a place in ; paradise, so I felt justified in naming it "A Fractal in ; Paradise". ; ; I looked up the roots of the word 'paradise' in my dictionary, ; and found that the word is derived from 'pairi', which means ; 'around', and the word 'daeza', which means 'to build a wall'. ; I suppose this means that the original paradise was seen as a ; refuge of unlimited happiness surrounded by a wall strong enough ; to keep out all unhappiness. ; ; I might add that anything one could desire must be present in ; paradise or their happiness would be limited. I have yet to ; decide how those such as myself, who enjoy things such as stormy ; weather, are going to have their storms in a place where the ; weather, if there is any, is always perfect. And how could ; those who want the peace of perfect weather be happy in a place ; with storms. ; ; I had best leave the theological discussion to the theologians ; and move on to the fractal discussion. ; ; Today's fractal combines Z^(1.25) with Z^(-0.75) and adds (1/C) ; to make a parent fractal that appears as a Mandeloid rotated 90 ; degrees, with a large area of chaos to its north and east. ; Today's scene is located in a broken line of chaos that runs ; down one side of the interior of the unusually small East ; (south) Valley of this Mandeloid. ; ; I chose the name of the image when I had a fleeting thought ; about fractals in heaven, a thought that might make for some ; active philofractal discussion. The image itself departs from ; my usual perfectly symmetrical style and shows some of the non- ; symmetrical surroundings of the midget. In fact, there are two ; midgets in the image, with the second being located near the top ; center of the frame. ; ; I colored the image, which consists entirely of outside ; material, with the 'tdis' option. When colored in the normal ; 'iter' manner, the image drops one or two rating points. As it ; is, the image has nothing in it that would rate it any higher ; than a 6, regardless of its lofty place in paradise, though the ; render time of 6 minutes is short enough to be practical. ; ; As always, those who would rather download a ready-to-view image ; can find that image on the internet at: ; ; ; ; and at: ; ; ; ; The fine weather for cats held through the day Tuesday here at ; Fractal Central. Lots of sun, light winds, and a temperature of ; 83F 28C kept the intrepid duo happy from noon until dusk. Their ; biggest excitement came when the trash was collected and they ; ducked for cover in the holly thicket. Today is starting ; cloudy, with rain forecast. Hopefully, the rain will hold off ; until the cats have had their fun. ; ; My fun will start when the work ends, which looks to be in about ; 4 hours. Until next time and next FOTD, take care, and if ; paradise is so wonderful, why do so many try so hard to postpone ; their trip? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ AFractalInParadise { ; time=0:06:06.57--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.71753899920961710/+0.527791195534077\ 30/76865.91/1/87.5/-1.82916205793137721e-009 params=0.9/1.25/-1/-0.75/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=0000vO0sW0p_0sW0uQ2xK8zFHzBMz4Uz0Zz0ez0kz0g\ z0dz0az0Zv0Xs0Up0Ql0Og0Kd0I_2FX4BS68R84PB2ND000DTO\ IXUM_XQeaWkgZplaspilspeuu_vzUszOpzQiyQdvSbrS_oSXkU\ WiUQgUKfWFcW8cW2nQKxK_zHpzBzz6zHzqMzlQzgUzaXzX_xUd\ uOgqIknDnk6qg2slDspMssWsvdszlszuszzszzszzszzqzzqkz\ qUzqBzq0zu4zxHzzQzz_zzizzszzzzszvdzpOzg6z_4za4za4z\ d4zd4ze2ze2zg2zg2zi2zi2zi6zgDzdHz_WzUZzOdzHguBkl4q\ zUxzpqzglz_ezS_zKazOazSazWazZZzXXzXXWFWzXUzWSzWQzW\ 00e4Bd8MaDX_FgZIqXMzWzsvszldzdzz0gzH0Zz8snF0xIKnMl\ d0D00M20W80dD6lIDuMIzSz0Wz0Wz8WzKWvWWngWeqWXzWSzvQ\ ziU0z0F04_0FsHxUQliS_xUl0xi0seDpaQkZagWnaSzZI0zzQ6\ saFinKZzQWQ0Sg4QvIzevza0Xu4SzIz0BzDHsUKiiOZxSz2i0z\ z0zv0zp8ziHza_00X00WH0UW8SkHQxOk00g00dD4_QBXaHUnMQ\ zSk0De2H_MKXdOSuSiFUZiWzpH00I00K0BM0MO4XQBgSFqUKzW\ zUqviiexaz0zvUqa0zZ4xXKsWZlSlgQz_WzzIQ2KgDMvMizQez\ SdzS_zUZzUSz0Kz0Fz26zB0zH } 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================================== ;