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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> 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 20.0 PAR-FORMULA 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 20.0 PAR-FORMULA FILE==================================