FOTD -- June 06, 2004 (Rating 7.5) Fractal visionaries and enthusiasts: Today's fractal is different. To start, it was created by raising Z to a complex power -- 1.3+0.08i. Then I found that the hyperparent spreads out and dissipates as we go up the logarithmic spiral, but it condenses and becomes more interes- ting at the negative levels of the spiral. The parent fractal of today's image lies 16 levels down the spiral. At the default magnitude it is a tiny shrunken thing, but when magnified it becomes a comet-like object, full of interesting places in need of exploration. Today's scene lies in the chaos edging a valley on the southern shoreline of the comet head. No special outside rendering methods were needed with today's scene. The standard equal-iteration bands did everything. Admittedly, I did help a bit with the coloring, but I did less work than the first appearance would suggest. The name, "A Feathery Fractal", captures the feeling of the image. Undecided whether to rate the image a 7 or 8, I finally decided on a 7.5, which gives an overall value of 84. This value can be raised if the task of rendering the image is eliminated by down- loading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy rain all day here at Fractal Central on Saturday and an unusually cool temperature of 59F 15C kept the cicadas quiet and the cats indoors. The cicadas clung motionless in the trees all day; the cats sulked in the window all day. Sun and warmer temperatures will make the cicadas happy, but a sizable treat of tuna was needed to put the cats back in a good mood. Today is starting cloudy. The rain appears to have moved on. All we need is sun. I'm going to try to take it easy today. If I succeed, I'll consider it quite an accomplishment. Maybe I'll start writing that story I've been thinking about for at least three years. Maybe not. Until tomorrow's FOTD, take care, and be prepared at least for an outburst of philosophy. It has been building for several days and could break loose at any time. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ A_Feathery_Fractal { ; time=0:08:55.58--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.0\ 0050914586947115/-0.00033084146774130/5188497/1/-2\ 7.5/4.6970816125e-011 params=1.3/0.08/-16/0 float=y maxiter=4500 inside=0 logmap=153 periodicity=10 colors=000TOLTLMTNNTPOSRQSTRSUSSVTSWURXVRYWRZXR_YQ\ a_Qb`QdaQebPgcPhdPjePkfPlgOjeNhcNfaMe`McZLaXK`WKZU\ JXSJVQIUPHSNHQLGPKGNIFLGFIFEHIDGKDFMCEOBFQBGSAGU9H\ W9IY8J_7Ka7Lc6Ne6Og8Rh9UhAXhB_hCbiDeiFhiGkiHnjIqjJ\ tjKwjLzjPzmUzoZzqczshzumzwsAUs5Ts7Ts8Sq9RoBRmCQkDP\ iFPgGOeHNeJNeKMeLLgMKiOKkPJlQImSInTHoUGpWGqXFrYEr_\ Es`DtaCubCmaEcaFc`Hd`Id_Ja_L_ZMXZNUYPRYQPXRMXTJWUH\ WVJTYKR_MPaNNcPObQPbQPbPQbPQbORbTRbQSbTSbVTbXTb_Ub\ aVbdVbfWbiWbkXbmXbnYbpYbqZbrZbm_`i__e`Za`XYaWTaVPb\ ULbSHcRDcQ6eQ9ePBhPDeOFeOHZNKUNMSMOOMQULSTLURKXQKZ\ PJ`NJbMIdLIfKIiQFlVDo`Bre9vl5tj7ri8ph9nfKleOjdRicU\ gaXe`_c_baZe_XhZWkXVnVUqTStRRwPQzOPzPSzPUzQWzRYzU_\ zXaz_czbeze_zhQzkSznUzqWztYzw_zzbzzdzzfzzhzzjzzlzz\ jzzhzzfzzdzzbzz`zzZzzXzzVzzTzzRzzPzzNzzLzzJzzHzzFz\ zEzzHzzKzzMzzPzzSzzUzzXzz_zzazzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } 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 20.0 PAR-FORMULA FILE==================================