FOTD -- January 23, 2008 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a scene in Seahorse Valley of the Z^2.001+C Mandeloid as it appears at a level 0.03 up the logarithmic ladder when the function is eliminated. At this quite unlofty level, the parent fractal, which appears as a perfectly normal Mandelbrot set, is rotated clockwise just far enough for the southern arm of Seahorse Valley to intersect the negative X-axis. In the area of the X-axis some rather unusual things often happen to fractals with fractional exponents of Z, and today's image is no exception. The unfamiliar features are all caused by the nearness of the scene to the X-axis, which lies only 0.00001 to the south. Unable to find anything of knockout value in the image, I could rate it at only an everyday 6. The name "Fractured Seahorses" indicates that the scene lies in a very fractured part of its parent's Seahorse Valley. The calculation time of just under 10 minutes is a bit slow, but relief is at hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image has been or soon will be posted for immediate gratification. Heavy clouds that threatened snow and a temperature that hovered around freezing all day made Tuesday rather unpleasant here at Fractal Central. The fractal cats made their day as pleasant as possible by hovering around the heat all day. Except for the fractal, which put up a bit of a fight, my day was peaceful enough. The next FOTD will be posted in 24 hours. Until then, take care, and knowing the future is the same thing as changing the past, though it is now seen from the opposite direction. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FracturedSeahorses { ; time=0:09:55.84-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.76117950836326/+0.00001163773987/\ 8.014934e+008/1/-60/0 params=2.001/0/0.03/0 float=y maxiter=6250 inside=0 logmap=1075 periodicity=10 colors=000GGGFzzBrwCmsDihDjiEjiFjjFkjGkkGkkHllIllI\ mmJmmKmnKnnLnoLnoUibbdQk_DtV1qU7oUClUHjUMhUReTXcTa\ `TfZTkXTp`WncYmf`libjleioghrjfulexndijeld_o_UrUOtP\ JsOMsNPrNSrMVqLYqL`qKbpJepJhoIkoHnnHqnGtnGvhHubItX\ JtRKsMLsQRrUWrY`qafqekpippV_fGJX23N76QC9TGCVLFYQI_\ UKbZNecQggTjlWlqZou`qr_noZllYjiXhfWedWcaVaZU_WTXTS\ VQRTORRMOPLMOKKMJHLIFJGDIFAGE8FD6DC4CG5FJ5HM5JP5LS\ 6NV6PY6S`6Uc7Wf7Yi7_l7ao7cmAdkCeiEfgGgeIhcLiaNj`Pj\ ZRkXTlVWmTYnR_oPapNcqMeqOgmPhjQigRjcSk`UUYVXVW_RXa\ OYcLZcIVcGRbENaCJ`AF_9EZGEYMDXTDWZCPdCIyYB_B4zG7pK\ 9iPBcTDXXGQaIKeKDZH7zZBgOFfPJeQNeRRhUQjXQl_QnbPqdP\ sgPujOwmOyoOsmQnlRikSdiT_hVVgWQOXLdYGcZIc_Kc`Mc`Oc\ aQcaScbUccWccYcd_Odacecced`ceYbfVafT`gQ_hNZhLYhKui\ ItiHtjGtjFtkEtkDtlBslAsm9sm8sn7sn6soUWoq9peJpvYqv_\ qvarvbruast`ts_us_vrZwqYxpXypXzoWznVznVzmUzlTzkSzk\ SzjRz_GziQziQzhPzgOzfNzfN } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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=========================================