; Date: Mon, 08 Jan 2007 22:48:51 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 09-01-07 (Forever Flappable [6]) ; Id: <1.5.4.16.20070108225114.2a5f343e@pop.mindspring.com> ; --------- ; ; FOTD -- January 09, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image came about when I calculated the Z^(1.5874)+C ; fractal at a level 34 turns down the complex logarithmic ladder. ; The number 1.5874 is the cube root of 4, though this has nothing ; to do with the appearance of the parent fractal. ; ; This parent fractal is a very recognizable Mandeloid standing on ; its head, with a curiously distorted large period-2 bud. ; Today's image is located in the fractal chaos surrounding this ; period-2 bud. ; ; I chose this image to be the FOTD because the pattern around the ; midget at the center is unusually interesting. Most midgets in ; fractals in this range appear as centers of discontinuities, ; with explosive-like features radiating outward. The pattern ; surrounding the midget in today's image actually tries to do ; something different. ; ; After not-so-careful consideration, I rated the image at a 6, ; which is just slightly above FOTD average. I do not comment on ; how the FOTD average compares to the average in the wider world ; of fractals. ; ; The name I chose for the image, "Forever Flappable", has no ; connection at all to the image. It is simply a nonsense phrase ; that came to mind as I studied it. ; ; The calculation time of 3-1/2 minutes is fast enough for an ; average fractal. An even faster way to see the image is to ; visit the FOTD web site at: ; ; ; ; and view the fractal scene there. ; ; Early morning rain on Monday here at Fractal Central gave way to ; a clearing afternoon with strong winds and a temperature of a ; mild 46F 8C. The fractal cats, who do not concern themselves ; with weather, were unusually quiet most of the day. ; ; My day had nothing out of the ordinary happen. The next FOTD ; will appear in 24 hours. Until then, take care, and be one of ; them. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Forever_Flappable { ; time=0:03:28.77--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.00720760543061133/-1.434410808461740\ 00/7110435/1/180 params=1.5874/0/-34/0 float=y maxiter=4500 inside=0 logmap=86 periodicity=10 colors=000OSVKPP04n9Fd0tU0pS0kR1gP4bO9ZMEXLAexCaoE\ YgFV`cRSqP0hO0cO2YO7UOC0OHzz_wwPorOgkOYcMPVL_C0VF4\ SH7PIAMLFKMIO`zKUl0OI0OKzxKzwKzkLzOLz`VxxSgWR`xPUS\ OMPMR2zh_jVUYaz0Rl9zCl6W0CSAzu_soWlkVeeS`aRUWOMSM0\ wF1oH6hI9aKEVLz0os2d`EV0yl2lcA`UYg0ChgEdaF`YFWUHSP\ ROeYE2VF6UH7RIAPKCMLFLMHIOK0Rl1Pg4Pc7P_AOUEOPz7yuC\ qkFh`I`RLSz40eF6MRzLPzLPzKPsKPlIOeIO_HOSeP6a02Y26V\ 69SACPEEMIHKLKdkzWclOV_`0lR9_aYEYWFVVHSUIPSIMRKKPL\ zgzj99VHF04CoFgjHdeIaaK_YKWULUPMRLOOCc1E`6EY9FVCFS\ FHPIaKI_LKWLKUMKRMKOMLLOLIOLzrxqgj_YYLxVKwSKuRIzPI\ zOHzMVz0cz2mz7vzCzzHzzOzzMzzMzzMzzLzzLzzLzzazzUzz0\ zzozzgzz`zzSzzEzzFzzHzzIzzIzzKzzLzz_zzWzzVzzUzzSzz\ PzzOzzMzzkzzazzUzz9zzCzzEzzFzzIEzKRzzLze4zc2zF1z00\ z10zC0zM0zW0zI0zK1zK4zK7zLAzLAzWEzLkzdezaaz_YzWUzU\ PzRLzOzznwzgkzaazWRzRKzVIzPzzcrzYezUUzPdz``zYYzWVz\ USzSPzRMzOKzMczo_zjVzdSz` } 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|