FOTD -- July 20, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "It's in the Parent", which is an obvious truism. The name also refers to the parent fractal, which consists of two large Mandelbrot sets symmetrically situated with respect to the X-axis and connected by an unusually long and broad 'canal'. Today's scene is located on the western side of this canal, very near the X-axis. I chose to investigate the shore line of the canal because I assumed that this is where the most unusual minibrots would be found. A quick check had shown me that the minibrots in the two M-sets hold mostly standard M-set stuff. Both the art and math aspects of the image rate a 7 -- above average but not worth the proverbial cigar. The calculation time however is shockingly fast, finishing on almost any machine in under one minute. The only thing more convenient would be to find the image already calculated. And by a stroke of luck, the finished image may be found on the web sites. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun, and a temperature of 79F 26C, kept today in the comfort zone here at Fractal Central. The fractal cats took it as easy as possible, while the fractal humans spent the afternoon trying to forget the troubles in progress around the world. The next FOTD will be posted in the not-too-distant future. I realize that the FOTD's are not appearing as frequently as in the past, but this is mostly due to a lack of time to write the discussions, not a lack of enthusiasm for fractals. So until whenever, take care, and the other day I heard a young man say that he runs so many apps on his phone because when he is not online, his mind starts working and he starts thinking about his real problems. I guess I'm just a cranky old-fashioned codger, but I assumed this is why we have intelligent minds. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= It's_in_the_Parent { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.1984632682885229/-0.0030030724276861\ /1.280406e+007/1/57.5/0 params=1/1.5/0.15/3/0/0/0/0 maxiter=1500 inside=0 logmap=101 periodicity=6 colors=000ALk4MY2JL62L47G2CCIZSDUN9PI4KDPgRGYK8PEn\ WFYQCHLAZLyNJgBHQcL9pQxtvlXLDk8KOCEVynVg7N`8FU87N8\ kqQWdKGSEbfwJTYExx7aYBgo7Y`3PMYDJMEFJPGLSONVWPXcOc\ ZNiVNoRUrM`tIgvDmx9PfJ0PTDSLQUEbX7oZ0pQEqHSq8et9Sv\ AExA1oIJfP`YWq0gS2bP3YM4UKTa`JUR9NH`jEIVBv3Qb8KJCE\ jeXGWWiTDUOBFK98jFnDeaEXPFPCGGwQyULZD3WPStIPgCMW6J\ KLzaEjS7VI917498r65RB7`AhIDQDVc9RW6NO3JGo22Y74HC6w\ uiU`Rbm8Td8JX89O8Rq7d2BU6AK99AD8WPPj3CV8AFC9ShiEUR\ MPjGM`BKR5IHnybPbN2Oo1Md1KU0IJaBvJEXA4x68f3CP`NtOK\ cCIOgnDMXAUbKMXHFRE7LB7__4TQ2MH__zRVlIQZ9LLRkFDWBG\ azAUg5NQRkBDW9ldO_YKOSGCMCq0mR8T6fs4Yc2POvm_gdTTXM\ EOFrecdZWRTODMGoZ9bU8QP8DK8YNEOvAGg98U8`YhRTZIPQ9K\ HrQSdNNRLIDIDqxquUJTND3uP2gJ1UDX_tMTcBMOPQaJ_i9QRG\ 1hhrIXhFMZDBPA3Fi2GX1GKTAqLCeEDV7FJI`B9Q97nK5eH3XE\ 1OBZLAQJ9HI98H8inEYeCNXBBO9pgJQUDaTwPOeCKPqu2H_q8Q\ VVdsVMnWLvOJiGIX8HKTu_E`M } 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=========================================