FOTD -- August 19, 2005 (Rating 8) Fractal visionaries and enthusiasts: The FOTD hiatus has served not only to eliminate the work back-up, but it also has given me a chance to recharge my phil- osophical batteries, which have been flat for several months. The resulting discussion about the nature of the 'self', which is just a bit inspired, appears in the philofractal version of today's discussion. Today's image lies well-hidden in the fractal that results when 0.75 negative parts of both Z^(-1.1) and Z^(-5.5) are combined and (1/C) is added. The parent fractal consists of a shapeless central ocean filled with small islands, with tiny isolated Man- delbrot sets scattered some distance inland. The most prominent of these M-sets lies some distance west of the central ocean. Today's scene is located in one of several chains of filaments extending from the East Valley of this prominent smaller M-set. I half-evaporated the image by setting the escape radius to a relatively large value of 3100. Interest was then added by rendering the scene with the inside set to 'bof61' and the outside set to 'tdis'. I named the result "Bubbling Fantasia". Such a name sounds intriguing but has little connection to the appearance of the image. The colors are a bit too brilliant, making the rating of an 8 perhaps a bit excessive. The image is still a pleasing one to view however, so the much-above-average rating will remain. The render time of 9-1/2 minutes is within reason for an image that rates an 8. Those who do not render may download the com- pleted GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophical discussion is included at this point in the philofractal version of today's FOTD. A near perfect day here at Fractal Central on Thursday, with warm sun, low humidity, and a high temperature of 86F 30C, left the fractal cats in one of their best moods ever. No tuna was needed in the evening to keep them happy, but I gave them a small treat anyway. This morning is starting mild, but with light showers. Could the day turn out bad? With the work once again under control, I expect my day to be uneventful. But one can never be sure with two cats and unpre- dictable customers to contend with. The next FOTD will appear in 24 short hours, or 24 long hours, depending on your sense of time. Until then, take care, and as you watch yourself move through life, keep wondering who or what is doing the watching and who or what is being watched. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Bubbling_Fantasia { ; time=0:09:37.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.82869168737630700/-0.247178934218572\ 90/3.123788e+011/1/30/0.0221353129476179328 params=-0.75/-1.1/-0.75/-5.5/0/3000 maxiter=1400 float=y inside=bof61 outside=tdis periodicity=10 colors=000z1Mz0Gz0Az06z43zD0zN0zX0zd0ti0nn9fpH`vQT\ z_NzgGzpAzz4zzExtNifYVTfGGdHEdJEcKEcMDcNDaPDaQD`QC\ `QC`QC_QC_QAYQAYSAYSA_TG_VK_VQ_YV_``_ada_cdXcgSakP\ anKapG`tC`w9`z4_z0_z0_z4avAdpGflMigSlcYn_cpVirX`oY\ Sl_Ki_Cf`4ca0`a0Yc0Vd0Tf0Sg0Qi0Pk0Nl0Mn0Kn0JKNd0iz\ 0cv0_p4Vl9PfCKaGGYKASP6NT1JX0EX6JXDMXKPXSSX_XXf_Xn\ aXvdXzg`zkczlpv3iz0cz0`v0Yo1Vg6TaAQVENPJKHNJCSG4XD\ 0`C0cA0X90Q90K70E71964M46Y49k3Aw3Cz6Hz9NzCTzEYwHct\ KipNonPtlSvnTwnVxnXznYzn_znczngznnzorzowzoxzozzozz\ ozzozzoxznvzlrzlozklziizifzgcwgavf`td_pdYocXncSl_P\ kVMkQJiMGiHDgEAgA7f64f11d00d04c0Aa0E`0K`0Q_0VY0`Y0\ fX0kV0pT0wT0zS1zQ1zQ1zT6xV9rXClYEd`H_aKTcNNdQMcSKa\ TK`VJ`VJ_XHYYHYYYcTngPzlKngX_cgK_t7VzCSzEQzHPzMNxP\ MwSJvXHt_GraEpfDoiAnl9lp7kt6iw4irAlnGniKofQpaVrY`t\ VfvQkwMpxJvz_xfozNnzSnzXnz`nzclzglzllzplztkzxkzzkz\ zkzznwzpnwtfpwYkxQdzHYz9S } 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=========================================