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: <http://www.crosscanpuzzles.com/Archives.html> where the finished image is posted. Those who prefer their fractals in hi-def may find satisfaction at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> 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=========================================