FOTD -- June 18, 2008 (Rating 5) Fractal visionaries and enthusiasts: I seem to be in one of those occasional fractal ruts, where I just can't seem to come up with a fractal that meets even my lowly standards of fractal worth. Yesterday's image was probably the least impressive FOTD of the past 11 years, and that's talking about a lot of fractals. Today's image is a small bit of an improvement. It is a view of Seahorse Valley, a slit view that I can virtually guarantee has never before been seen. The view is almost in the Rectangular direction, oriented so close to it that it was necessary to stretch the scene about 75 times in the vertical direction before the remnant of Seahorse Valley became recognizable. (The rectangular orientation is determined by the imag(z) and imag(c) axes of the Julibrot.) Where is the rest of the Mandelbrot set? This is a question I cannot answer. It is probably off somewhere, a lost potentia in a space of five or more dimensions, making the quest absolutely futile. I have been trying unsuccessfully for 20 years or so to visualize something with only four spatial dimensions, so far without success. Apparently I need to have my consciousness expanded before higher-dimensional awarenedd becomes possible. Maybe the local mystic, Madam Zucchini, can be of help. I named today's image "Portal to Infinity" and rated it at a 5. The calculation time of under 2 minutes should cause no hardships. And to be doubly sure no hardships are incurred, the completed GIF image has been posted for instant viewing and enjoyment on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A very pleasant and refreshing day here at Fractal Central on Tuesday, with a temperature of 72F 22C, was made even fresher by a quick shower that passed over at 6pm, followed by a brilliant rainbow in the east. The fractal cats, not appreciating the small pleasures of nature, slept through it all. My day was busier than I would have preferred, but much better than yesterday, when I posted a hasty fractal that virtually duplicated and was a poor imitation of the not-all-that-great image of the day before. The current work rush has about ended however, so tomorrow's FOTD, which will appear in the usual 24 hours, will likely be a vast improvement over today's. Until then, take care, and walk with the fractal elite. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Portal_to_Infinity { ; time=0:01:51.10-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 center-mag=0/0\ /33.52388/0.01407/90/0 params=89/88/0/90/-0.75/0/0\ /0 float=y maxiter=3600 inside=0 periodicity=10 colors=000JEYKGaLIfMJjNLoONsOOwRNtUNrLEDLDDLCCLBCf\ AQgCSgETgGUgIVgKWhMYhOZhQ_hS`hUaiWciYdi_eiaficgjfk\ iehhdegdbfc_ebXdbUcaRb`Oa`L`_I_ZF_Y9ZZCY_EX`GXaIWa\ KVbMVcOUdQTeSSeUSfWRgYQh`QibPidOjfNkhNljMmlLmnLnpK\ orJptKuyJpvIlsHhpGcnG_kFWhERfDNcDJ`CEZBAWA6TA2RD5U\ F7XH9_KCbMEeOGhXFjeElnDmkGjhIheKfbNd_PbXR`UUZRWXOY\ VL`TIbRGdPHeQIeQIeQJeQKeRKeRLeRMfRMfRNfSOfSOfSPfSQ\ fTQfTRgTSgTSgTTgUUgUUgWVg_VgcWigXkkYmoZosZnrZlqZjp\ ZgpZeoZcnZamZ_lZYkZVkZTjZRiZPhZNgZLg`KeaKdbJbcJadI\ _eIZfIXgHWhHUiGTkGRlFQmFOnFNoELpEKqDIrDHsCFtCEuCDu\ JGuQJuXMucPujSupUtnTslSrjRqhRpfQodPnbOnaOm_NlYMkWL\ jULiSKhQJhPJiNIjLHkJGoKAmJDkIFjHIhGKgGNeFPcESbDU`D\ X_CZYBaWAcVAfT9hS8kQ7mP7oR9nTAmUClWDlYEkZGj`HibIic\ KheLgfNfhOfjPekRdmScoTcpVbrWavT_tV`sXarYbq_cpadobe\ ndfmfglghkiijkjilkhnlgpmfqnesodupaywbwtcvqdtneskfq\ hfpegnbhm`ilYjjVjiSkgPlfM } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================