; Date: Sat, 19 Feb 2005 09:52:37 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-02-05 (Super Membranes [8]) ; Id: <1.5.4.16.20050219095300.29c7f232@pop.mindspring.com> ; --------- ; ; FOTD -- February 19, 2005 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image was created with the MandelbrotMix3a formula. ; This formula works much like the MandelbrotMix4 formula, with ; the exception that it combines four different powers of Z rather ; than two, and a critical starting point of Z must be calculated ; separately and entered as the real(p5) parameter. Since ; calculating critical points is too much like work, I rarely use ; the M-Mix3a formula. ; ; To produce today's image I combined various portions of Z^(2), ; Z^(-3), Z^(4), and Z^(5), and entered them as the first four ; parameters. The (p5) parameter is one of the formula's critical ; points. ; ; The parent fractal consists of two large Mandeloids surrounded ; by a horde of much smaller isolated and disconnected Mandelbrot ; midgets. Today's image shows one of these cut-off midgets. ; ; At first glance today's image appears to be a partially ; evaporated one. This is not the case. Fractals whose ; generating formulas contain positive powers of Z do not ; evaporate. Other than the brilliant white inside of the midget, ; the image consists totally of outside material. The skeletal ; effect was achieved entirely by rendering the scene with the ; outside set to 'tdis' and then creating a sharp discontinuity in ; the color palette, a fact which may easily be demonstrated by ; rotating the palette a few steps in either direction and ; observing how drastically the image changes. ; ; I named the image "Super Membranes". When I gave it this name ; I was thinking of 'M-theory' or 'membrane theory' the latest ; fad in the search for a theory of almost everything, which is ; augmenting and perhaps replacing 'superstring theory' just as ; superstring theory replaced the 'grand unified theory'. ; ; The rating of an 8 might be a bit overblown, but the image is ; one that makes the viewer take a second look, so a rating of 8 ; it will be. ; ; For maximum fractal convenience, the completely rendered image ; is posted on the FOTD web site at: ; ; ; ; Biting winds, snow flurries, and a high temperature of 28F -2C ; on Friday kept the fractal cats confined to the relative warmth ; of the porch, where they sat for no more than 15 minutes. Extra ; tuna was needed to keep their spirits up. This morning is ; starting sunny but cold. It looks like a questionable day in ; store for the duo. ; ; For me it looks like an average day coming up, which describes ; most all days here at Fractal Central. The next FOTD will ; appear in 24 hours, and if all goes well, it will have a bit of ; philosophy included in the philofractal version. Until then, ; take care, and be thoughtful. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Super_Membranes { ; time=0:01:36.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-2.30831927441704200/+0.742924861375744\ 90/963509.9/1/105/1.52394585894999324e-007 float=y params=1/2/0.5/-3/0.333/4/0.25/5/0.8364500249/0 maxiter=255 inside=255 outside=tdis periodicity=10 colors=000ppZpuXpzWrrVtjVvbVxVVpY_i`daciVfmNh`GjU9\ lc2nm4lr5kvJkzNlzSozWrz`rz`rz`rz`rz`rz`rzTG1XM2_S3\ cX4ea5hf6mk7rq8wv9zz9zwAzvBzuCn`CmdDluEktFknFjnGig\ HhfIifIkeJmeKofKqbQs_WuXawTguQmsMsqIyoLumNrkPoiRlg\ TheVecXbaZ__`XYaZWcaUdcSfeQghPijNjlOijOihPifPjdRkb\ SlaUm_VnYXoWYpU_qT`rRbsPctNeuLfvK_wSVxORyKMzGIzCCz\ 86z4KzKnzWgzSazOVzKPzGJzCCz86z4dz2Wz1Oz1Gz08z0AzY8\ zR6zK4zD2z6DzZ8zN4zBtzDjzAaz8Sz6Jz49z2izVkzX_zOOzG\ Cz8kzWezS_zOUzKOzGIzCCz86z4mzXPzG6zz5zq4zh3z_2zR1z\ I0z91zt0ze0zS0zE`z6Zz5Xz5Vz5Tz4Rz4Pz4Nz3Lz3Jz3Hz2F\ z2Dz2Bz19z18z1Bz5Ez9GzDJzHLzLOzORzSTzWWz_Yzc`zgbzj\ ezfhzbkzZnzVlzUkzTizShzRgzQezPdzObzNazM`zLZzKYzJWz\ IVzHUzGTzESzDRzCQzBPz9Oz8Nz7Mz6Lz4Kz3Jz2Jz1Mz6PzBS\ zGVzKMz3PzFRzRTzbVznXzzZzy`zybzxczxezwgzwhzvjzvlzv\ mzuozuqztrzttzsvzswzstztqztnzulzuizvfzvczwazwczrdz\ mezhfzcgzZhzUizPpzcpzazzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } ; END PARAMETER FILE========================================= ; ;