FOTD -- January 31, 2004 (Rating 7) Fractal visionaries and enthusiasts: I have no idea what the name of today's image has to do with its actual appearance. The name is one I invented on a whim, pure nonsense, a word such as one might find in the 'Alice in Wonderland' books. But such nonsense is not surprising in this modern-day world of science, where we have books of popularized quantum physics speaking nonsense such as Carroll never dreamed of when he wrote his 'Wonderland' books, and then declaring the nonsense to be a model of some strange kind of 'reality'. At least I make no claims that today's fractal is real -- not real in the every-day objective sense, that is. The image is a scene in the fractal that results when 1/3 part of Z^4.5 is added to Z^2.5 and 1/C is then added. This parent fractal appears as a fragment of a Mandeloid that fills the screen, with a sharply-defined but very distorted Mandeloid just off the bottom of the screen. In today's image, I ignored this distorted Mandeloid and concentrated on the large fragment. Today's scene is located at the edge of one of the arms marking the entrance to a partly-obscured bay on the southern edge of the fragment. As is frequently the case in fractals where two or more powers of Z are combined, certain parts of the image appear eroded, and filled with holes of all shapes. Today's image lies in such an area, and the greater part of it consists of such 'inside' holes. I have made this 'inside' area do things by rendering it with the 'fmod' option, with the proximity set to 0.25. The result is a FOTD that rates a 7 -- not as good as I might have hoped for, but certainly better than some of the images that have made it to FOTD status. Is the image worth the 11-minute render time that, combined with the rating of 7, results in an overall value of 63? This is a question which each individual must answer for himself. But the question may be eliminated by downloading the finished GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and avoiding the rendering stage entirely. Friday was a very busy day for me here at Fractal Central. For the fractal cats it was a boring day. The temperature of 23F -5C and brisk winds kept them confined to their beds by the heat. In the evening, they demanded a treat of tuna, which I gave them willingly. After all, I had ignored them all day. This morning is even colder. It looks like another day curled by the heat for the dynamic duo. For me it looks like a far slower day. If I'm clever enough, I might get through the whole day without doing a bit of useful work. And I'll return on schedule in 24 hours or so with another fractal. Until next time, take care, and be forever fractalish. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Sevateem { ; time= 0:11:11.01--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.16960004342521910/-0.655188865003747\ 20/1.131122e+008/1/-100/-4.45595079812122208e-006 params=1/2.5/0.333/4.5/0/0 float=y maxiter=1500 inside=fmod proximity=0.25 periodicity=10 colors=00076G6CO4IT4M_3Sd3Xj1apAcLD_GFVCGSDGQFGPGG\ OIGMJGJLGIMGGOGFPGDQGCSG9TG7VG6XG4YG3_G1`G0aG0cG0d\ G0fG0gG0iD0lA0o73r46u1Ax0Dz0Iz0Lz0Pz0Sz0Vz0Yz0_z0`\ z3az7cxCdsGfpLglPiiTjfYlaam_foXdpVcrVcrVasV`sV`uV_\ vVYvVYxVXxVXyVVzVTzVTzVSzVQzVQzVPzVOzVOzVMzVMzVLzS\ JzPIzOGzLFzJDzGCzDAzC9z97z7Gz3Or0Xj0ca0jV0iY0i`0ic\ 4if9iiDilIioMirQiuVix_arYVmYPgYIcYCYYl0Qi0Sf4XdC`a\ JdpQiqcmrdisedtfaugYvhTwiQxjMykIzlFzmAzn6zo3zo0zp0\ zm1zi7zdDy`JuYPrTVm0`i0ff0l`0fV0aP7YJFTDMP9TLLMIXG\ GgADs4Cz09z07z09z09z49z79zAAzFAzIAzLAzPCzSCyXCx_Cv\ aDufDsiDslDpjGmiIjgJgfMddOcdP`cQYaTV`VS_XQ_YVaXYcV\ `fTcgSfjQilPloOopOssMvuLyxJzyIzzGzzFzzDzzDzzAzz9zz\ 7zz6xz4sz3py1my0jx0gv0cu0`u0Ys0Vr0Sp0Pp0Qu0Sx0Tz0T\ z0Vz0Xz1Xz3SzAOsIQmMSgPVaSXXV_QY`M`aGldAofWjiXmjap\ n`iobcqcgsfjujmvmpxpsxsvxuyywzyxzzxzzwzvwzruzmrxin\ sdjo`fjXafSYaOUYJQTFGPAAL } 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==================================