FOTD -- January 20, 2004 (Rating 8) Fractal visionaries and enthusiasts: Today's image is the second consecutive one to rate an 8, though its slower render time cuts its overall value to 59. I did need to take a slightly liberal view of the image to reach that rating however, but it is still an unusually interesting sample of a midget in an almost-cubic fractal. The name I chose for the image, "The Cubic Trinity", has nothing to do with religious belief. It merely reflects the fact that, in the image, everything comes in powers of 3. While yesterday's FOTD image examines the negative real axis of the Z^(2.003)+C Mandeloid as it appears 1040 levels up the spiral, today's image looks at the negative real axis of the Z^(3.003)+C figure at the same level. Not unexpectedly, much of the same type of detail appears. We have the same features resembling skeletal hands, and the same barely noticeable lack of symmetry. The breaks that do appear are arranged symmetrically around the midget so that they become a regular part of the pattern. Indeed, it takes a bit of searching to find the places where the symmetry breaks, but a careful search will reveal that all corners of the midget's basin are not quite identical. The render time of 13 minutes is slow for an image that might be a bit exaggerated. That wait may be eliminated by downloading the finished GIF file from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With the temperature hovering around 25F -4C all afternoon, the day was far too cold for the delicate whiskers and paws of the fractal cats. They tested the outdoors only a few minutes before deciding that warmth was better than adventure. A bit of tuna kept them happy. Today is starting sunny and just as cold. The cats will likely have a similar day. I have a bit of work to finish before starting the search for the next fractal, but I can finish that work with the speed of a photon. I also have an urge to treat myself to some junk food at the golden arches 1/2 mile down the road. If I survive, I'll return in 24 hours with the next FOTD image. Could we possibly have three consecutive images that rate an 8? Check back here in 24 hours to find out. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ The_Cubic_Trinity { ; time=0:13:28.73--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=mandelbrotbc1 function=floor passes=1 center-mag=-1.08945153107755200/-0.010540023154615\ 56/4.734514e+012/0.9997/-170.7/0.200745373042978764 params=3.003/0/1040/0 float=y maxiter=2100 inside=0 logmap=355 periodicity=10 colors=000EEKCDJGHMJLPNPRQTUUXWX`Z`d`chchmfmskryou\ uuwwwXuTSmONhIHcCCZ67U1UY6p`AmYFjVJgTNdQRaOVZL_WIc\ TGgQDkNBoQEpTHpWKpYMp`PpcSpeUpdTmdTkdTicTfcTdcSbbS\ `bSYbSWaSUaRSaRP`RN`RL`RJaPKbOLcMMcLNdKOeIPeHQfFRg\ ESgDThBUiAVi9WiCUkETmGSoIRqKPsMOuPNwRMwUKwWJwZIw`H\ wcFweEwhDwjCweLw_UzQbtHZnGWiFScDPZCMTBIOAFI8CD7876\ 585287688A8AD8BH8DL8EO8GS8HW8JZ8Kb8Mf8NiELeKKbQIZW\ HWaGT_EUZDVYBVWAWV9WU7XT6XR5YQ3YP2ZO1ZP6WQAURERSIP\ TMMUQKVUHWYFXaCYeAZi7Zm5X3lV4hU4eT5bS5_Q5XP6UO6RN6\ OL7LK7IJ8FI8CG89F96E93D90GA2IA4KA5NA7PA9RAAUBCWBEY\ BF`BHbBJdBK`EIYHGUJERMDOOBKR9HT7EW6AY4lr2fj13Z33W5\ 3T72Q92NB2KC2HE1EG1BI18K15L27M39M4AM5CM6EM7FM8HN9I\ NAKNBMNCNNDPNDQNGRPJSRMTTPUVSVXVWZYW``XbcYdfZfi_hl\ `jo`libecd_YfUThONjIHlCCm6Dn9DnCDnFDnHEoKEoNEoPEoS\ FqVFsXFu_FwbFxdJz`MzXQzTTzPXzL_zHczDfz9azNYz`Uznbz\ `kzOszBczJQzQNzPLzNJzMGzL } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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==================================