FOTD -- July 21, 2011 (Rating 6) Fractal visionaries and enthusiasts: I named today's image "Reference Standard" because it illustrates a standard object. Objects resembling the one that fills the frame appear very often in fractals with features of both the Mandelbrot set and the Mandeloids created by a higher power of Z. The higher power in today's image is 31. Objects similar to the one in today's image exist in immense numbers on the filaments extending from the half-morphed large minibrot on the main stem of the parent, which closely resembles a normal Mandelbrot set. Today's image lies on one of these filaments. The rating of a 6 is disappointing, even for me. I guess my excuse is the hot weather here at FC, which makes one think of nothing but taking it easy with a cold drink. But after all, it is midsummer, and laziness is the order of the day. I could probably beat the heat by moving to Patagonia for the summers, but the twice yearly trips could prove quite costly. Relief in the form of fractals is far more cost effective. The calculation time is a fireball 17 seconds -- fast by any standard. And the image is posted in finished form at: <http://www.crosscanpuzzles.com/Archives.html> and in high-definition 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/> Unrelieved heat, haze and humidity prevailed here at Fractal Central on Wednesday and Thursday, with a high of 95F 35C on Wednesday and 100F 38C on Thursday. It should hardly be necessary to say that the fractal cats spent both days in the coolest spots they could find. The humans also sought the coolest places. The next FOTD, which should be a very cool one indeed, will be posted in 48 hours. In the near future, we will return to the daily posting schedule, and I'll hopefully get out of the fractal doldrums. Until next time, take care, and believe the things you want to be true. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Reference_Standard { ; time=0:00:16.48-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.758898341086305/+0.01826569421574188\ /3.4381e+010/1/-32.5/0 params=31/1e+030/0/0 float=y maxiter=1000 inside=0 logmap=37 colors=000FemKhlPkkUnjZqicsheuhfxgduabrXamR_hMZcGX\ ZBWU6SP7PL7MH8JG8FE9CD99CA6BAe2ed7hdBkdGnzzqzttzqv\ zommndmhdmbdcXdcRdbLdbFda9da4dzFMzFLzFKzFJzFJzFIzF\ HzFGzFGzDMzBSzAXz8bz7gz5mz4rzAnzFjzEkzEkzDkzDkzDkz\ HizLgzPezTczXaz__zPSzFLz5Ez8PzB_zEjz0yz5kzAYzELzIO\ zMRzQUzUXzY_zabzdezBuzIvzOwzUxz_yzezzkzzmszolzqezs\ ZzuSzvLztNzrPzpRznTzhRzcPzZNzULzPKzUNzZPzbRzgTzlWz\ pYzu_zyazpbzhbz`bzWXzRSzNMzIHzDBz96z_hzdbzhYzmTzqO\ zvJzzEzkKzgIzcHz_GzWFzSDzOCzKBzHAzFFzDKBzOEzSHzVKz\ ZNzaQzdTzhWzkZznwzcuzXtzQszJrzCkz9dz7Yz4Sz2Pz9MzGJ\ zNGzUDz`BzfAzd9zc8za7z`7z_8z_9z_9z_Az_Bz_Bz_Cz_Cz_\ FzaIzbLzdOzeRzgUzhXzj_zkYziXzgWzeVzcUzaTz_SzYRzWPz\ _NzbMzfKziJzmHzpGzsCzc8zOIzUSzZazdjziozVtzGyz1fzyV\ zcJzJKzIKzHLzHLzGMzFMzFUzCazAiz8qz6xz4tzPqzipzeoza\ nzYnzVpzVqzVrzVszVtzVrzRpzNozJjzKfzLazLYzMUzNPzNLz\ OHzOSzPazPkzQWz7Qz4Kz1Oz8 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================