; Date: Mon, 02 May 2011 22:35:43 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-05-11 (Most Unexpected [9]) ; Id: <1.5.4.16.20110502223550.153f7f38@pop.earthlink.net> ; --------- ; ; FOTD -- May 03, 2011 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; I was recently surprised when Brian found a minibrot in a scene ; that I had assumed and stated held no minibrots. As is so often ; the case in the world of fractals, things are not always as they ; seem. ; ; Knowing that minibrots were in the scene even though the ; (apparently flawed) 'fmod' method had indicated they were not, ; I made an old-fashioned search by locating areas of 2-way ; symmetry and zooming into the center. The old-fashioned way ; soon led to today's minibrot and image. ; ; I named the image "Most Unexpected", not because the minibrot ; was unexpected, but because the round-cornered square is unlike ; anything I have perviously stumbled upon in a fractal image. ; ; The image was given extra excitement by rendering it with the ; outside set to 'tdis'. When I found an acceptable color ; palette, the final result rated a lofty 9. Part of the rating ; expresses my pleasure at finding that there are more minibrots ; in fractals than I had previously assumed. Of course, since I ; have always assumed the number of minibrots is infinite, it is ; hard to explain how that number can be increased. (Almost ; anything done to infinity equals only more infinity.) ; ; The calculation time of 1 minute is already quite fast, but even ; this brief time may be saved by hopping to the FOTD web site at: ; ; ; ; where the finished image is posted. Those who prefer their ; fractals in hi-def may find satisfaction at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; Hazy sunshine through a veil of clouds, a few sprinkles of rain ; and a temperature of 70F 21C made Monday a very typical day for ; the start of May here at Fractal Central. The fractal cats ; spent the day trying to stay out of trouble. They were almost ; successful. ; ; My day was annoying. It could have been better but also could ; have been worse. The next FOTD will be posted in 24 hours. ; Until then, take care, and pay no attention to what they tell ; you on the telly. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Most_Unexpected { ; time=0:01:01.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.6316470288267675/-1.940029456046413/\ 7.679e+008/1/-42.5/0 params=11/-1.1/1.1/-11/0/0/0/0 maxiter=2000 inside=0 outside=tdis periodicity=6 colors=000zzAK8HI7GG7EF6DD5CB5B94A8396384273265356\ 35835935B45C44D44F44G54I54J54K53M63N63O13O33P42N43\ M44L84LG5LF6KF6KG7JG8JH8JG9IHAIHAIIBHIBHICGIDGIDGI\ EKHFKHFKHGJHHJHHIGIIGIIGJHGKHGKHFLGFMGFMFFNFEOFEOE\ EPEEQEEQDDRDDRCDSCDTCDTBCUBCVBCVACWABX9BX9BY9BY8BZ\ 8A_8A_7A`7Aa6Aa69b69c59c59d59d6Be7Ce7Df8Ef8Ff9Gg9H\ gAIgAJhBKhCLhCMiDNiDOiEPjEQjFRjFSkGTkHUkHVlIWlIXlJ\ YmJ_mK`nKanLbnLcoMdoNeoNfpOgpOhpPiqPjqQkqQlrRmrSnr\ SosTpsTqsUrtUstVttVuuWvuVxvWhuWhtWgsWfsWerWfqWhpXj\ pXloXnnXonXomXnlXmkXlkYljYkiajiciqhiskhzhgrefl`fgZ\ edZdcZcbZcaZbaZa`_`__`___Z_ZY_YX_YX_XW`WV`VV`VU`UT\ `TS`SS`SR`RQaQQaPPaPOaONaNNaMMaMLjLLgKKbJJcJIbIIbH\ HbGGZ99bGGfMMjSSnZYrdczkjzjiziiuiiuhiugitgitfitfit\ eitdhtdhychsbhsbhsahsahs`hr_hr_grZgyZgrYgvXgqXgqWg\ qVgqVgqUfpUfzTfpSfpSfpRfpQfoQfoPfoPeoOeoNeoNenMenM\ enLenKenKemJdmIdmIdmHdmHd } 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 ;