FOTD -- July 06, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image takes us to the East Valley area of the large minibrot on the main spike of the (-Z)^(2.0000001)+C Mandeloid. On its surface, this parent fractal appears to be an everyday Mandelbrot set. But all is not well in its depths, especially in the area of the main spike, which proves to be infinitely divided once we zoom in well beyond the surface. Today's scene lies on a filament in a small area of chaos at the edge of the divided stem. The rating of 7.5 is an honest estimate of the image's worth. The extra half point is a self-awarded bonus for the coloring. The name "Identical Twins" points to the most surprising feature of the image -- the two distinct minibrots at the center of the four-armed, starfish-like surrounding pattern. Unfortunately, the magnitude of the image is as great as we can go, at least with the Fractint program. The identical twin minibrots are beyond reasonable resolution. The calculation time of one short minute will pass quickly. The image may also be seen on the FOTD web sites. For a view of the image without the need of calculating it, check the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And enjoy the revealing high-definition rendering at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site with thousands of back images is online at: <http://www.Nahee.com/FOTD/> Blazing sun and a temperature of 93F 34C made it obvious that we are entering the hottest time of the year here at Fractal Central. The fractal cats agreed by finding the coolest places to stretch out in. The humans turned up the cool air and went about their work. Then, thinking of the heat, I wondered why 'liberals' and 'progressives' try so hard to convince everyone that climate change is real. Of course the climate is changing -- it's how the earth works. As long as I can remember, there have been heat waves in summer, but the summer heat never seemed as threatening as today's environmentalists are claiming. I guess the concerned worriers simply need something fresh to worry about. One would suppose the 'end-of-world' shows on TV would supply all the worry the worriers need. Anyway, the next FOTD will be posted before the earth heats to the boiling point . . . I hope. Until whenever, take care and before concerned environmentalists begin their worrying, they should make sure they are fully informed on the situation they are concerned about, and what if anything can be done. For example, a weather pattern that brings prolonged hot weather to the East Coast of the U.S. is not 'global'. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Identical_Twins { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMiN center-mag=-1.7482953881\ 52179/+0.00000022197569962/6.471309e+012/1/-5/0 params=2.0000001/0/0/0/0/0 maxiter=3600 logmap=218 inside=0 float=y periodicity=0 mathtolerance=0.05/1 colors=00000A00B00E10H25K3AN4FQ5KT6PW7U_8Yc9agAekB\ ioClsAotDpzGmyJitMeoLaiKYcKUYKQSKMMFIHAEC074042A92\ FI2KT2N`AP`JYXSfT`dVQbWFaY4kgLuqarXPpDCfCJXAQO9X0u\ c3bZ5KUCKd9BX842P9Of5jz_rgDcfTfZMaEFYA8UuI44yq5jj6\ Wc7HXBFrABj98c85XVx7PiCJVHDGM8S27L87FE78KEc_zvZZUU\ f3HAIE8AK5lW6`U6PT7DRO8TJ6SF5RB3Qt18A5G94K83N2`55J\ G6U87GHXB2K69Y_SRRRKJRDAQ0dWFUXCKU9BSbb9SQFHELDjDz\ tC`ZHMIMJCDJCDI87H52I92IC3JF4JI5JM6KP7KS8KV9NYEP`I\ ScMUfQX`UZlYaoacredqbep`fyZgoXhoVinSjnQjyOklMllKmk\ HnkFojDpjBqi9qi7py3r2rp6ooAlnEimIflMdkQajUZiYWhaUg\ eRfiOemLdpJeiLfcNgcPhcRicTjcUkcRkcOkcMkcJkcHkcElmB\ lm9lm6lm4lz2lz2nz2pz2qz2sz2tz2vz2wz2yz2zz2sz2lz6ez\ CZzITzNVzOWzPXzPYzQZzQ_zR`zRazSbzSczTdzTbzPazL_zHZ\ zDYz9Jz24z25z25z25z25z25z25z25z2Cz2Iz8PzEVzKfzKqzK\ DzFCzICzKCzMCzOBzRBzTBzVBzXCzTDzQEzMFzJGzFFzCKz8Pz\ 5Uz2Zz2cz2hz2mz9rzGwzNzzZ } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================