FOTD -- June 15, 2005 (Rating 8) Fractal visionaries and enthusiasts: In today's fractal we take the Z^2.0001+C near-M-set and view it 1000 levels up the hyperspiral, at a point where the large filament extending southwest from the bud centered at -1.31 intersects the negative X-axis. We then zoom into a very tiny midget on the filament, very near the point where it crosses the X-axis. The most obvious thing about the image is that its extreme magnitude is causing it to break down. But in this case, the lack of mathematical precision actually makes the image. It does so by introducing a unique texture such as certain fine artists might strive for. Since we are beyond the limit of the depth it is possible to achieve with this particular fractal, I named the image "The Inner Limits". And yes, I *was* thinking of an old TV show, one of the interesting kind that is no longer produced. Curiously, if it were not for the breakdown, the image would have rated only a 7. As it is, the unique texture raises the rating to an impressive 8. The render time of 7 minutes is within reason, and may be eliminated entirely by downloading the completed gif image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I think I'll declare next week a week where I name the FOTD fractals after some of the spam subject lines I receive that week. This morning I deleted about 25 of them. Most are pure gibberish, but some, such as 'why didn't you tell me', are truly creative, causing one to ponder 'who didn't I tell something to'. But if I do this, I'll pick only the most creative subject lines. Another hot muggy day Tuesday kept the fractal cats asleep most of the time. The high temperature of 93F 34C was simply too warm for normal holly-thicket activity. Luckily, the duo realized this, and were not troubled. Today is starting much the same. More of the same is likely from the cats. For me the work is still slow, but the fractals are as hot as ever. Until the next one appears 24 hours from now, take care, and the strange thing about fractals is that they can be both hot and cool at the same time. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_Inner_Limits { ; time=0:07:07.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 mathtolerance=0.05/1 center-mag=-1.41545766839771800/+0.000001306788129\ 35/3.214947e+012/1/72.4887718120855027/0.011650530\ 4108602131 params=2.0001/0/1000/0 float=y passes=1 maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000H9uGBqGCnFEjFFgEHcEI_DKXDLTCNQCKMBKIBKFA\ KBAK8CKBDKEEKHGKKHZNIZQJZSL_VM_YN_`P_cQ_dR_eS_eWXb\ _U_bUXdUSeRNeNIgJDjG9iHCiHFiHIiHLhHOhHRjHUlHXmI_oI\ bqIeqIhpIkpInpIqpIshXd`kqUzzRqqPiKN`PLTTJKYHCaFKXE\ RTDZOCeKBcJBbJB`IB_IBYHBXHBVGBUGATGARFAQFAOEANEALD\ AKDAJDFKCJKCOLCSLCXLB`MBeMBiMBeKAbIA_GAXFATDAQBANA\ AK8AG6AD5AA3A71A40A86KBCUFIcIOmLTv`nCZmEXmFVlGTlHS\ kIQkJOjLMjMLiNJiOHhPFhQEhREfSEeTEdTEcUEbUEaVE`VE_W\ EZWB`Z8ba5dd2ef7baB_YFXTKUPORKSPGRXERdDQlCQtBTo9Wj\ 8Ze7a`6cW5fR4iM3lH2oC1q80pI7oRDn`KmiQlrWhnUejTbfRZ\ bQWZOTVNRTLPSJNRHMPGKOEINCGMAFK9DJ7BI5AH49SJ8aY8kl\ 9hm9emAbnA`nBYoBVoBTpCQpCNqDKqDIrEFrECsEAsDBpCBmCB\ kBChBCfACcADa9DZ9DX8EU8ES7EP7EN8GO9IPAKQBMQCORDQSE\ STFUTGWUHYVI_WIaWJ_VJZVKXVKWVKVULTULSULRUMPUMOTMNT\ NLTNKTNJTPSOR`JTiEVr9`oLjtYotXsuWwuVrlcmcliVtQwKPt\ KPqKPnKPkKPiKPfKHItICwI7y } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================