FOTD -- February 16, 2002 (Rating 8) Fractal visionaries and enthusiasts: Yes, I realize that three days have passed since the last FOTD. The FOTD CD is coming on schedule, (8 months are ready, 63 months remain to be done, and the colors of many of the old images need to be brightened.), but the CD is taking so much of my spare time that I have little time remaining for new FOTD's. The FOTD is not in danger of going the way of the dodo however, and when the CD is ready, the new FOTD's will once again appear on a daily basis. After all, what would the philofractal list be without a new FOTD every day? It certainly is not a UF or FractalTalk list. Today's formula, NewtonTest27, is an old one that has lain idle for several years. It represents an early effort on my part to do something unusual with Newton's fractals. Nothing much ever came of the effort, for shortly after writing today's formula, I got involved in the four-dimensional Julibrot figure and midgets in 2-part formulae, and soon forgot my Newton's efforts. But as today's 8-rated FOTD shows, some of these old Newton's formulae can create very interesting images. Studying today's image, I first noticed the prominent spiral in the upper left, then my eye was caught by the lantern-like figures rising from the lower right corner and merging into the spiral. I named the picture "Lantern Spiral". With a rating of 8, the 3-minute render time of the parameter file is quite reasonable. But it is not absolutely reasonable. Those who demand the ultimate in reason will find the image posted in all its illumined glory to Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and to Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Friday here at Fractal Central was fair enough. The comfort of hazy sun and a temperature of 52F 11C was tempered by a chilly wind that kept the fractal cats confined to the porch. From the porch, they kept a watchful eye on a flock of robins that descended at midday to feast on the holly berries. Tippy chattered wishfully for a robin to stray within pouncing range, but the wise birds never came within several meters of his eagerly waiting claws. As for myself, it's a Saturday morning and I've got 61 months of FOTD's yet to prepare for transfer to CD. So until the next FOTD appears in a couple days, take care, and keep the faith. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Lantern_Spiral { ; time=0:03:14.16--SF5 on a P200 reset=1960 type=formula formulafile=allinone.frm formulaname=NewtonTest27 passes=1 center-mag=-1.11\ 79/-0.409735/3.174717/1/-90/-1.23373533611470521e-\ 014 params=2/2.4/2/2/1/1e-015 float=y maxiter=90 bailout=100 inside=period logmap=yes symmetry=xaxis periodicity=10 colors=000TTdPQ_JPVFMPdzjVxaLcTpT6f\ OAVIFLCJ96OS4Pi3Qz1Sz1TzYMrzFPcO0DXCM`PXdcdjpoozxs\ zf`zQIz90s94j99aAFTALLAPCAVLAPTAJaADi96r90z90vI0rQ\ 0o_4jf7foAaxD0Q03F1DG0MG0XI0dI0oJ0xJ0sD0o9Dj3Qf0cc\ 0pT0mL4mC9l3Dl4Fr6Fu6Gx7Gy7Gz4Fx3Dp14g03`01T00P06M\ 3AL7GLM71xc6_TDpXgCrT_3_MCSXzxzxzsjrXY`P_400DLzGd0\ 4V6ALDGzF1jI9SJFQz3IgCgz0Xv0Lc9zIzfJfza0sX3XQCYCsM\ GaxL0_L4Y00P70IFAlFXaGTTIQJJOa1Ar09SzFOyGJjIFYJ0Vz\ 1Sv4Pi7MXVz_OmTG_PzXLcQLszzcrmP`_zzxszmdmcP_TiL0ya\ 6gXCQQGVzvDozCfuC_iASX4J07L09L9GC0DF6CID7Co9Fg9G_A\ JSd0vX3lfaAolOdgFTc7J_07V0zzzz0izI_z_PzpFF_`jdISVJ\ O30L70GC6DGDzorz0go7_VFSOziJx`FcSsz3zzJmzL`oLO_LA9\ TADQAIOxz_fpTQ`PpsragfOXVylrgafQTV17P4AO6FM9ILzzDx\ zGgmIQ_JM70IC0DGAOc3zz0xm0__9zzzdpizzzzxz1iI4`J7SL\ zzFlpIT`JzjxmajTTYDD0uvcdiXPXQz0rl4fTDVlzi_u`MaSMz\ cjz9YvDMcIz00u44dAAPGGyTslQj_PaMMTXz3LmC } frm:NewtonTest27 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), z=(pixel): zx=(z^b)-a zy=(c*z)^d z=z-(k*zx/zy), |zx| >= f } END 20.0 PAR-FORMULA FILE==================================