FOTD 21-01-10 (Hourglass Figure [6.5])
FOTD -- January 21, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's FOTD image shows a scene in the East Valley area of the nearly divided minibrot on the infinitely divided main stem of the Z^(2.003)+C Mandeloid, which is the area where the strange Julia rectangles are found. No rectangles appear in today's image however. I named the image "Hourglass Figure" for a reason that will be perfectly obvious when the image is seen in person. And with a calculation time of just under 5 minutes on a fast machine, it will not be too boring a task to calculate and see the image. The rating of a 6-1/2 includes 1/2 point for the semi-expert coloring. Otherwise, I could find nothing in the image worth more than a 6. The image may be viewed by starting the included parameter file and coming back in 5 minutes to stare in awe and wonder at the things numbers can do when they put their minds to it. Or one may visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and stare at the finished image in awe-struck amazement there. Lots of clouds, a little sun, chilly north winds and a tempera- ture of 41F +5C left the fractal cats unimpressed here at Fractal Central on Wednesday. My day began about average but turned rather satisfying during lunch when FL and I were watching the news. Out of nowhere FL remarked that she was growing disappointed with superpresident and his incredible shrinking promises. I could not resist mumbling "I told you so" just loud enough for her to 'acciden- tally' overhear. No reply was expected; no reply came. But FL was rather sulky for a while. The next FOTD, promised to meet expectations, will be posted in 24 hours. Until then, take care, and if the next FOTD fails to meet expectations, I can always blame the other party. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Hourglass_Figure { ; time=0:04:58.47-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.687\ 832787113062/+0.01411013382451336/1.458611e+012/1/\ -15.75/0 params=2.003/0/0/0/0/0 float=y maxiter=5000 inside=0 mathtolerance=0.05/1 colors=000NLIPDHmRGO0FmSGzSGmTGVLGmUGYUGmVHzVHmWHc\ WHmWHfXHhXHiZIkcIlhInmIzrIzvIzzzzzzzzzzvIprJomKmhK\ lcLjcLidMgeNfeNdfOcgOahP`iQZiQYjRWkSVlSTmTSmTQnUPo\ VNpVzqWKqWzrXHsYztYEuZzuZFmXzmVLmZzm_Oz`zzbRzcTzdU\ czWrzYczZrz`czarzcczaqzbfzctzddzewzebzfuzg`zUVjcUj\ VTjeSjXRjfQjYPjhOj_NjiMj`LjkKjgJjmMlgKklJjpMnpLnzJ\ mzIlzGkzFkzEjzCizBiz9hz8gz6fz5fz3ez2dk1di4cg6ce8cc\ AcaCc_EcYHczJczLczNczPczRczTczWczYcz_czacCzcAzc8zc\ BzbEzaGzaza`z``zZ_zY_zWZWVZZUYaSXcRXfPWiOWkNVnLVqK\ UyGXvIVsJUpKSmLRjMQgNOdPNaQLZRKWSJTTHQUGOWDNVFNVGN\ VHNVIMVJMVKMVLMVMLVNLVOLVQLVRKVSKVTKVUKVVJVWJVXJVY\ JVZIV_IVaIVbIVcHVdHVeHVfHVgGVhGViGVjHUkGVkFWkEXkDY\ kCZkB_k8bm9alA`kB_jCZjDYiEYhFXhGWgHVfIUfJTeKTdLScM\ RcNQbOPaPOaMBTMBTKBTKBTMBTLASMBTNCUODUPEVPFVQEWRFW\ QGWQGVPFVOEUNEUMDULCTKCTJBSIASI9RH9RG8QF7QE6PD6PC5\ OBAc81ZB4UD7PFAMHDJJFKLIJ } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================
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Jim Muth