; Date: Thu, 08 May 2014 16:02:55 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 08-05-14 (Something is Wrong [A-6,M-9]) ; Id: <1.5.4.16.20140508160258.38af9fd0@earthlink.net> ; --------- ; ; FOTD -- May 08, 2014 (Rating A-6,M-9) ; ; Fractal visionaries and enthusiasts: ; ; Something is indeed wrong with today's scene. This is why I ; have given the math a rating of 9, while the art rates only a 7 ; despite my extra work. The math is interesting because the ; minibrot at the center is clearly quadratic, while the elements ; in the surrounding pattern are of order-6. As an example of the ; strangeness, notice the 6 small spirals near the frame edges and ; the 36 tiny spirals at the next level inward. ; ; I have seen this phenomenon several times before, and it appears ; no more logical today than it did when I stumbled upon it about ; 12 years ago. But such counter-intuitive things in fractal math ; are what makes fractals so much fun and has kept me fascinated ; for over 25 years. By comparison, those who approach fractals ; with a 'look ma I'm an artist' attitude all too often quickly ; lose interest. ; ; The parent fractal came about when I subtracted 0.35 part of ; Z^(4) from Z^(3) and added straight C on each iteration. This ; parent resembles a Mandelbrot set rotated 180 degrees, with ; large open bays at the end of every filament. The largest bay ; of all lies at the eastern tip of the main spike. This bay has ; a large but unstable valley intruding into it, which is very ; sensitive to changes in the real(p2) parameter. Today's scene ; lies in this valley, very close to the X-axis. ; ; The calculation time of 3 minutes is well within reason, but the ; viewing can be made even easier by checking the finished image ; on the web sites. ; ; Enjoy life to the fullest. Avoid the calculation hassle by ; viewing the finished image on the FOTD web sites at: ; ; ; ; ; ; ; ; ; ; The weather was rather pleasant here at Fractal Central today, ; with partly cloudy skies, gentle winds and a temperature of 75F ; 24C. The fractal cats passed the time watching the birds in the ; yard, while the humans took care of the business department. ; ; The next FOTD fractal, for better or worse, will be posted in ; the near future. Until then, take care, and some of yesterday's ; supernatural nonsense has become today's scientific wonders. I ; wonder how much of today's supernatural nonsense will become ; tomorrow's scientific wonders. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Something_is_Wrong { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4473682468658692/-0.0008456880636021\ /2e+007/1/-22/0 params=1/3/-0.35/4/0/0/0/0 float=y maxiter=2600 inside=0 logmap=160 periodicity=6 colors=000DqjDqiDqhGqgJqfMqePpdRpcUpaXo__oYanWejVh\ gUkcTn`SmZQlXOkWNkULjSJiRIhPGhOFgMDfKBeJAeH8dF6cE5\ bH3bK2ZO1WS1TW1PZ1Ma1Jc0Ge0Cg09i06k03m0Ao4Gq7MsASu\ D`wHgxKkyNmzQnvVosZppbpmfqljslnulnznnxmmvllukksjkq\ ijpiinhhlghkfgiefhefebdb`b_Z`WW_SUYOPVKMSGJPDGMBEJ\ 9CG7BD6AC79C78D87C86B85A94A93AA2AA1AA0AB69B58B57E7\ 6H85K95SL3ZW1YW6YWBXWGXWKWWPWWUVWYVWbUWgUWkTUhTTfT\ SdSQaSP_SOYSNWRLTRKRRJPQHMQGKQFIQEGTGLWIQYKV`M_bOc\ eQhgSmjUrlVvmXtmZsm`rmbqmdpmfomhnnimnklnmknojnqins\ hnugnvfiq_dmU_hOVdIQ_CLW6HS0MR7QQDVQJZPPcPWgOalOgp\ NmtNsuPquRpvTnvVmwXkwZjx`hxbgxcfr`dlYcfWb`TaVX`PO_\ OMVOLRNJNNBIMGEMFAOJCPNER7GSUITXJV`LWdNYgPZkR_nSi`\ erOspXqndombpm`qm_qmYrmWrmVsmTsmStmTtmUumVumWvmXvm\ YumZum_pmakmcmreowgqziszkuzmwzozzqzzszzuzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;