; Date: Thu, 11 Jun 2009 19:01:35 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-06-09 (Seahorse Valley-12 [No Rating]) ; Id: <1.5.4.16.20090611190257.2bb721f6@pop.mindspring.com> ; --------- ; ; FOTD -- June 12, 2009 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; It yesterday's image we set the real(z) axis perpendicular to ; the Mandelbrot plane at the -0.75 limit of Seahorse Valley. In ; today's image we do the same with the imag(z) axis, which gives ; us the Rectangular aspect of the valley. The question then ; immediately arises, which Z axis is actually perpendicular to ; the Mandelbrot plane. The answer is that they both are. And ; every other line in the Julia plane is perpendicular to the ; Mandelbrot plane as well. The two planes are absolutely perpen- ; dicular to each other, with every line in both planes perpendic- ; ular to every line in the other. Absolute perpendicularity is ; one of those strange unvisualizable things that cannot exist in ; spaces with dimensions less than 4. ; ; Seahorse Valley is filled with holes that resemble crossed ; peanuts, which I call peanut holes. Today's image shows one of ; these holes in its full glory, with many other holes scattered ; about. These holes are not true areas of trapped points, but ; bottomless pits of ever increasing iteration count. In today's ; image the maxiter is 110,000, but even this value leaves the ; peanut hole wide open. A much greater maxiter of 1,000,000,000 ; or so would totally close it however, greatly increasing the ; already very slow calculation time in the process. ; ; The unlikely values in the parameter file show that the image ; has been greatly stretched and skewed to bring the large peanut ; hole to a reasonably undistorted state. Such distortion that ; needs to be undone is very common in the Rectangular and other ; odd planes. ; ; I gave today's image no rating. After all, how could a mere ; peanut hole earn a rating? In addition, the calculation time of ; 1-1/3 hours will try the patience of even the most patient ; fractalist. I strongly recommend viewing the finished image on ; the FOTD web site at: ; ; ; ; Heavy clouds blanketed the Fractal Central area on Thursday, but ; no rain fell during the daylight hours and the temperature ; hovered around a very comfortable 73F 23C. The fractal cats had ; nothing to say about things. ; ; My day was occupied with work. But the efficiency eventually ; paid off and the work was finished by 4pm. The next FOTD will ; be posted in 24 hours. Until then, take care, and no comment at ; this time. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Valley-12 { ; time=1:22:37.96-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Rectangular center-mag=-0.790706186467\ 98470/+0.00044125005017076/5.971931e+007/0.0001521\ /0.0745896617071803714/-89.9801123768401396 params=0/0/-0.75/0 float=y maxiter=110000 inside=0 periodicity=10 colors=000BJDBIEBHFBFGBEHBDIBCJBAKB9LB8MB7N84LB6ND\ 7OF8PH9RJASLBTMCVNDWOEXRFZUH_XI`ZJb`KcbLddMffNghOh\ jPjlQkoQnnRlmRjlRhkRgjSeiSchSbgS`fTZeTXeTWdTUcUSbU\ RaUP`UN_VLZVKYVIXVGVSEXVFZXF`ZGa`GcbHedHgfIhhIjkIl\ mJnozoqKqszsuLuwzvyLtwzsvNqtzpsOnqzmpPlozjmRilzgjS\ fiSdgTcfUbeU`cV_bWY`WX_XKPiQUbWZXacRghLmmFxp4uqzsq\ zqqzoqzmqzkrHirJfrLdrNbrP`sSZsUXsWVsYSs_QtaOtcMteK\ tgItiEwrFunGtkGshHreHpbIo_InXJmUKkQKjNLiKLhHMfEMeB\ Nd8Mb2Nc5Od8OeBPeEPfHQgKRgNRhQSiSSjVTjYUk`UlcVlfVm\ iWnlifjbjlWnnPrpHzsIvqIsoJomJlkKijKehLbfLZdLWcMTaM\ P_NMYNIWOFVOCTP8RP5PQ1QP2OP3NP3MP4LP4KP5JP5IP6GP6F\ P7EP7DO8CO9BO9AOA8OA7OB6OB5OC4OC3OD2OD1QE4RF7SFATG\ CVHFWHIXILYJN_JQ`KTaLWbLYdM`eNcfNfgOhiPkjPnkQqlQrl\ QsiUmfXgc_a`bWYeQVhKOnDQlESkEUjEWhFXgFZfF`dFbcGdbG\ e`Gg_GiZHkXHkWIjWJjWIiVHiVGcVEYWDTWBNWAHWAFWBDWBCW\ ADUADSCDQFDPHDNJDLMEJOEIR } frm:Rectangular {; Jim Muth imag(z),imag(c) z=flip(real(pixel))+p1, c=flip(imag(pixel))+p2: z=sqr(z)+c, |z| <= 16 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint