; Date: Thu, 20 Sep 2012 11:04:42 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-09-12 (Reciprocal of Infinity [7]) ; Id: <1.5.4.16.20120920110838.2adf513c@earthlink.net> ; --------- ; ; FOTD -- September 19, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's scene is a trip into the parent fractal that results ; when three negative parts of Z^(-2.3) are combined with one ; negative part of Z^(-5.6) on each iteration before (1/C) is ; added. ; ; This parent roughly resembles a diamond filled with debris. The ; southeast point of the diamond has strong Mandelbrot features ; including a pseudo-main bay and a very prominent straight main ; spike pointing southeast, which terminates as a filament in the ; shape of a large broken circle. Today's scene is located near ; the evaporating southwest edge of the shore line of the 'main ; bay'. ; ; A good part of the image is actually 'inside' stuff made visible ; by the 'zmag' inside fill. The black inside of the large ; central minibrot is hand colored. Luckily, none of the inside- ; the-minibrot color registers also appear outside the minibrot. ; ; The name "Reciprocal of Infinity" is a phrase that came to mind ; as I studied the image. The actual reciprocal of infinity is ; zero, though there might be different orders of zero (are they ; technically called infinitesimals?) for the different orders of ; infinity. I lack the knowledge to recognize the difference. ; ; With a rating of a 7, the worth of the image falls right in the ; middle of the FOTD range. ; ; The calculation time of 4-1/4 minutes is a slight drag, but ; headache relief is always available on the web sites. ; ; To avoid a calculation headache check the finished image at: ; ; ; ; A high-definition rendering is at: ; ; ; ; All the FOTD back images are online at: ; ; ; ; After yesterday's washout, when over 3-inches or 8-cm of rain ; fell, today seemed quite pleasant. The sky cleared just after ; sunrise, leading to a partly cloudy invigorating day with a high ; temperature of 68F 21C. The fractal cats, fully invigorated, ; got into a lively tussle over something only they were aware of. ; Little Cassie came out on top, while oversized Nicholas sulked ; away his defeat. ; ; The humans passed the mid-week doing totally human things such ; as finishing the unexpectedly heavy work. The next FOTD will ; certainly be posted, but I am not saying exactly when. Until ; whenever, take care, and don't forget to add rice to the list of ; foods that are hazardous to one's health. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Recip_of_Infinity { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.4271053768113824/-1.341152341307607/\ 41582/1/-105/0 params=-3/-2.3/-1/-5.6/0/0/0/0 float=y maxiter=1500 inside=zmag periodicity=6 colors=000SimOhkKhiGggCgeBdbBa`BZZBXXBUUBRSBOQBMOZ\ X9US8PN8LI8GE7C97747307BXxDUoERfGOYHLPSVSbdVmnYww`\ qrbkndeif_ehVaiXUbZMX`ERa7LUETNL`GSh9Zp2dw9hvGluMp\ uTttZxt`weavRbvCYnKTgSP`_SbVUdRWfN`jUdm_hpe0000000\ 00UUUmZZUUUhbaeXWbRR_LLXFG_DIbBKe9Mg7Nj5Pm3Rp1Tr0U\ fEOVRIH4NH4RJ4VL5ZN6bP7fR8lT7nV7rWDqWJqWPpWUpW_pWe\ oWhoWkoXnlXqiXqfXqcXq`XqYXqVXqTe_BhaAjb9mc8od7qe6t\ f5vg4xh4wZ5vQ6vH6rGCoFIlEOiDUfC_cCd`KaZSZW_WUgTSoQ\ RiUQdYP_aOVeNQiMLmMGpXSefbWb`XZZXWYXSWXOUXLTXORSQP\ OSOKVMGXKCZJ8kKZxLxZVr9dmCejFfgHfdKgbMg_PhXRhVNfZJ\ daGbeC`h8Zl5XoCVpJTqQRrWPsbNtiLuoKvjGkeC``8RW4GS06\ tS`oUYkVWgWTcXRZZPV_MR`KNaIQcOSdUUeZWgdYhj_ioWgpSe\ qOdqKbrHarSPgbDXm1Nl6PkARjESjIUiNWhRXgVZgZ_a_TX_MS\ _FN_9WgLdnXlugciiVYjMNkDBl50m76n9BnAHnCMnESnFXnHbn\ IgnMhmPimTilWjl_kkbkkfljiljdfb``VWVNSQFTRCUSAVT8WU\ 6XV4YV2RN4LF5F76907PXd0x3 } 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, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;