FOTD -- March 18, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in the eastern part of the main bud of the HyperMandelbrot set, just west of Seahorse Valley. I posted it as a FOTD because of its interesting repeating patterns, which almost but not quite repeat identically. The image rates a 7.5 and would have rated higher if similar near-repeating patterns were not so plentiful in the classic Mandelbrot set. The name "8-Dimensional Landscape" indicates that the image is a slice of the 4-dimensional HyperMandelbrot set, which itself is a 4-D slice through the center of the 8-D HyperJulibrot figure. I am beginning to make some sense of these hyper images, but I still have a long way to go before everything adds up. The calculation time of 2-1/4 minutes borders on slowness. The web sites can bring relief however. Time may be saved by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High definition variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And back images are online at: <http://www.Nahee.com/FOTD/> Today brought thick clouds then heavy snow to Fractal Central, while the temperature hovered just at freezing. As of post time, about 2 inches (5cm) had piled up. The fractal cat took a quick glance out the shelf window, then settled to sleep. The humans spent the day getting the routine things done. The next FOTD will be posted in a reasonable time. Until reason prevails, take care, and take time to think things out. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= 8-Dimens_Landscape { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.7978139292256579/-0.016458707578773\ 58/2177/1/-157.5/0 params=0/0/0/0/0.5/0/1e-018/0 maxiter=750 inside=0 logmap=-358 periodicity=0 colors=000UYWOQcMO`LNYKMWJLTIKRHJOGIMCXG8kB4z62tN1\ ob3qc5rd6te8uf9wgBxhCyhFxZHxPJxFLqDNjBPc9QX7SQ5UJ3\ VC2OI8INECSK6XQUYXpZbkafgdjcgmZjqVmuRoxXhsbaogVjmO\ fsHaxAYqH`kNbeTe__gUejOglTinYgg_caU`iNbpG`wIZpKUiM\ QcOLXQHRSCKT8EUDDVICWNBXRAYW9Z`8_d7`eD`eJaePaeVbe`\ befcblaaqZbjUadP_ZLYTGWNBUH6SB2Q5I`6Yj6mt6ghDaXKWL\ RR9XZCVeFTlIRsLPmRSgXVabYWg_VQVV8R_C_cFghIplLxpFqr\ Ajp5dm6Tj7HcBDZF7TL7OT8PX9Q`ARaASXBSKCNFBI9AJ4AJ8A\ L9ANAAPBARCATDAVEAXFFYFL_FN`FPaFRbLTcQVdWXe`ZadWfg\ _kkcpoguokznnvkktfhrZepSboOanL_nOVoRUoULeUUXObNIkI\ GoEDsFJnFOiFTdFY`FdWFiREoQFjNGbLHTJIJHI9FLFEOKERQE\ UVEX`E_eEXr2ajEkbUecQ`cNWcKQcHLcEGcBBc8H`7MZ7SX7XU\ 6bS6gQ6fR8eSAdSCcTEhWHbTFXRDSOCMMAHJ9BH76F6KJ5XN4j\ R3wV2oS6hPAaMEVJINGMGDQ9AU27Y8HXERXK`WQjWUrRVsWVt_\ VudWvhWwmWxqWyu_vvcsvfqvjnvnkvqivpewpaxpYxpUypQzpN\ zmQtjTohWjeZeHnJca`jHOyPr } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================