; Date: Tue, 22 Jan 2008 17:44:54 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 23-01-08 (Fractured Seahorses [6]) ; ; Id: <1.5.4.16.20080122173451.2b3f44fa@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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|