FOTD -- July 01, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's fractal FOTD image lies in an oversized Mandelbrot set corrupted even near its surface by Z^8 energies. (The real p(1) parameter defines the order of the corruption; the imaginary p(1) parameter defines the intensity of corruption as well as the size of the parent fractal. The greater the value of the imaginary parameter, the deeper the corruption is buried and the less its intensity.) Today's scene lies in the large minibrot on the main spike of the parent M-set. This minibrot has already partially morphed into an order-8 minibrot, with an interesting mixture of Z^2 and Z^8 elements. Today's scene lies in some Z^8 stuff that is just appearing in the area of Seahorse Valley of the main spike minibrot. The art rates a 6. I did give the colors a bit of extra effort, but hardly enough to make the image in any way exceptional. With a rating of a 7, the math rates a little better. I still find higher order minibrots with such unexpected surrounding patterns rather fascinating. The image is astoundingly fast, calculating in a fireball 20 seconds or less. And the web sites are always ready to remove the task of calculation entirely. The finished image is posted 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> Lots of heat and humidity prevailed here at Fractal Central today. A mild thunder shower in the afternoon cooled things down from 95F 35C to 79F 26C, but also raised the humidity. The fractal cats went into full stretch-out mode in the coolest places they could find, while the humans took the day as easy as we have taken hundreds of others. The next FOTD will be posted in a day or two or three. Until whenever, take care, and science is saying things about the 'real' world that have even the most devout skeptics shaking their heads in puzzlement. As for me, I find their frantic and often contrived damage control efforts quite amusing. Jim (It don't worry me none!) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Octagonal_Activity { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip params=8/8 center-mag=-14.17122276570695/+0.04224104480374021\ /4.1626e+009/1/-15/0 float=y maxiter=1000 inside=0 logmap=40 periodicity=6 mathtolerance=0.05/1 colors=00002603704805906A17B28C39D4AE5BF6CG7DI8EK9\ MHALD9SF9ZHAdJGkLPpNZyPhuKmqGmmCmi8he4cb0Zc8UcFPcM\ KcTFWZHOcPGhW9m_BicCegDbkEZoFWsGSwHPiMUXQZJUc6YhIm\ TLcTNUTPPVQKXRGZSB`T6bU2daWXhyQjnYkdelVmmJjeLlYNmR\ OoJQpCRqATp8Vp6Xp4Zp3`p8cjDfeIi`NkVSnQXqLasGMsdTea\ _T_fGYl3Wh5Td6Qa7OdBSfEVhIYkLamPdoSglTViTIgT6``FVg\ NUbQUZSTUVTQXTMZYUVbaSgiOkpLlYHlFEfHQaJ`XLk`SdcZZf\ eTilNlrHcoFVmEMkDHCoM_uRwzOxsMxlJyeHy_EzTCzMAzGOwO\ `uWVvYPw_Kw`Exb8yd3yeUNjPQfKTcFW`AZX5aU0dRQifomval\ uOkuXbleVcnMVwEMuFKsGJqHIjLGcOEXSCQVAJZ8Ca7FYBHUEJ\ QHMMLOIOQERSAUdlJhhIleHobGqWQsPZuJgwCpx6yp5li4`b4P\ WFSPQUI`WCkYSiOggEvf4va4vX4vY6vY7vY9vYAvYCvYDpVKjT\ ReRX_PcUNjPLpRNiSPcTRYVTSWVMXXGYYAcVShSimPziSteVna\ XhY_bUaXQdRNfLQhKSjJUlIWnHZpG`rFbtEduEcg9cU5cH1ZNO\ UTjRUeOV`LWWJWRJSPJOOJKNJGMJCKJ8JJ4IJ1HIALIIPIRSIZ\ WIg_IobMkYPhTSeOVbJXBOVGP } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================