FOTD -- December 23, 2007 (Rating 6) Fractal visionaries and enthusiasts: As promised, today's image shows the minibrot that lay invisibly at the center of yesterday's image. One glance shows why such deep minibrots are disappointing. The elements around the mini- brot are intricate enough, but they are so finely divided as to be almost meaningless, and they are arranged in perfectly boring perfect circles. This circularity explains the name "Circles of Numbers". In fact, it appears that, as we approach the minibrot, the circu- lar bands of elements start to take the shape of the equal itera- ion bands of the parent Mandelbrot set. It could be interesting to check if this is true, but the calculation would be extremely slow, and will have to wait until another day. The rating of a 6 indicates that I was much more pleased with the scenery on the way to today's minibrot than I was with what I saw when I got there. This is true of all extremely deep mini- brots. The most interesting parts of the basins are so far out from the center that the minibrots at the center are usually in- visible. Another drawback of course is the extreme calculation time, which in today's image is over an hour on the fast machine and over 4 hours on the slow one. But this will be no problem for those who view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of 43F 6C made Saturday just an- other first day of winter here at Fractal Central. The fractal cats made the most of the brief daylight hours by watching all afternoon for intruders. In that time, they saw one dog pass by. My day was occupied by holiday preparations. The next FOTD will appear in 24 hours. Until then, take care, and a few nights ago I dreamed of a mountain. Then someone told me that the mountain was not real; it was all inside my head. This might be true, but my head is much too small to hold a moun- tain. I am now totally confused. What is the real size of the mountain I dreamed of? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Circles_of_Numbers { ; time=1:06:19.02-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.825815776368296644495089770635123369\ 097730630839395359625564/0.18537815042145875449626\ 1784978523032875728204898436494525519/2.602102e+05\ 5/1/-148.75/1.3107570584481e-014 params=0/0 float=y maxiter=30000 bailout=100 inside=0 periodicity=10 colors=000XLLWNMUOMSPMRQMPRMNSMMUNKVNIWNHXNFYND_OD\ _OD`PCaQCbRBcSBdSAeTAfUAgV9hW9iW8jX8kY7lZ7m_6n`Cj`\ Ie`OaaVXa`TafOblKbsFcnJaiOZcTWZYTTbQX_TUbSReRPhRMk\ QJnPzqPztOzwNzzMztNzqNzmMzjMzfLvcLr`LmXKhUKcQJZNJU\ KJPGIKDIK9HK6HK2GK5GK8FKBEKFDKICKLCKOBKSAKV9LY8Na7\ LX9LWBLVCaQOcPPeORfNShMTjKUlJWnKXpM_rObpQenShkUkhV\ neWpeWndVkdVhcUebUbbT_aTW`ST`SQ_SM_SJZSGYSCYT9XU6W\ V2VW2TX3RY4Q`4Oc5Kf6Kj6Km7Kq8Km7Km8Jn8Kn9Mo9OoAQpA\ SpBUpCWqCYqD_rDarEcsEesFgsGitGktHmuHmuImvImvJmw0mw\ LmvMmuNmtPmsQmsRmrSmqUmpVmoWmoXmnZmm_hl`ckaZjcVhaR\ e_PbXN_VLXSJUQHROFOLDLJAIGBJGDKHEMIGNJHOKJQLKRLMSM\ NUNPVOQWPSYQTZRV_RWaSYbTZcU`eVafWchXbgZaf``ec_deZc\ gXbjWalV`nU_qTZsRYvTZsS_sR`sQasQZsPXsOWtNYtNZuM`uL\ bvKdvKewJgwIixHjxHjyGkyFlzEmzEmzDnzCozBpzEqzGryJnw\ LjuNfsQbqSZoUWkXTgZRc`O_cMWeJTgHRjEOlCMn9Kq6HmAKkB\ KjCKhDKfEKeGLcHLaIL`JLZKL } END PARAMETER FILE=========================================