FOTD -- June 29, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: It has been 3 days since the most recent FOTD, but that's the way of it sometimes. After all, fractals are almost the most important things in life, but not the most important. Today's belated image shows an order-11 minibrot lying deep in the chaos on the west side of the north branch of Seahorse Valley of its grossly oversized parent Mandelbrot set. The name "A Stray Undekabrot" confirms this description. I am becoming rather involved in investigating these higher- order fractals and their minibrots, though I have yet to concoct a formula that brings the size of the parent fractal under control in a satisfactory manner. In fact the futile search for a suitable formula is the main reason for the current irregular schedule of the FOTD. I could rate the art no higher than a 6 and the math interest no higher than a 5. The image is still worth a quick look however, at least in my opinion. The calculation time of 3-3/4 minutes is rather slow for an image that rates a measly 6+5. Here is where the web sites charge to the rescue. After waiting three days for further fractal satisfaction, why wait any longer. View the image instantly on the FOTD web sites 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 near perfect partly cloudy summer day with a temperature of 84F 29C passed uneventfully here at Fractal Central today. The two fractal cats, now almost impossible to tell apart from a distance, took it easy most of the time. The most excitement happened when Jasmine got excited about a flock of butterflies that appeared in the fractal garden in the afternoon. Luckily, the fractal humans made it through the day without getting so excited. The next FOTD will be posted in a day or a few. Until whenever, take care, and do we observe a world that is really out there, or do we create the world by our act of observing it? Goofy occultists and rational quantum scientists both say things that imply that we create the world as we observe it, though the scientists, who must maintain an air of reason and respectabil- ity, cannot state such apparently irrational things outright. Jim (the true believer) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= A_Stray_Undekabrot { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-75\ 8.7815699862324/+76.37727081857/1.132678e+009 params=11/1000 float=y maxiter=2250 inside=0 logmap=466 periodicity=6 mathtolerance=0.05/1 colors=000c7GeAIfCKhFMiHOjKQlMSmPUoRWpUYqW_sZat`cv\ cewegxghudesbbp_`nYYkVViTTfQQdONaLL_JIYHGZJJ_KM_MP\ `NS`PVaQYbS`bTccVfcWidYle_oe`rf`uf_wiYvkUvnQupMusO\ tuRtxUszXsw_juabscVqeNqgKqiIqkGqmDqoBqq9qr6qp4qm2k\ k2ii5ggAeeDccGabJ_`MYZMWWKUUISRGQPFOMDMKBKH9IF8GG8\ EH8EI8EI8EJ8EK8EL8EL8EM8EN8EO8EO8EP8EQ8ER8ER8DPBCO\ ECMGBLJAJMAIO9HR8FU8EW7CZ6Ba69c58f57h7Ag9DgBFfDIfF\ KfHNeJPeKSdMUdOXdQZcSacUcbWfbXhbXdaXaaXZaXW`XT`XQ`\ XN`XK_XH_XE_XB_YEZZGY_IY_KX`MWaOWbRVbTUcVUdXTeZSe`\ S_YPVVMQTJLQGFNDALA5I7hUfeTcbS`_RZXQWUPURORONOLMMI\ LJFKHCJE9IB6H93G6Azb8pW6gP4YI2PBekhLWOkn7nt1ls3js5\ hs7gs9esBcrDarF`rHZrJXrLWrMNpIFnE7lBKYBWKBTUGQbLOa\ MM`MK`NmlAmn7mo5pmHrkTtidvgptdoranp_nnXmlVmjSlhQkf\ NkdLjcIjcGicDhcBhd8ge6gf7fg7eh7di7dj7ck7bl7am7an7`\ o7_p7Zq7Zr7Ys7Xt7Wu7Wv8Xw9XwAXwBXwCXwDYwEYwFYwGYwH\ YwIZwJZwKZwLZwMZwNZwHSwCM } 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=========================================