; Date: Mon, 13 Jul 2009 19:44:23 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-07-09 (One Long Shoreline [8]) ; Id: <1.5.4.16.20090713194612.2b0fabb8@pop.mindspring.com> ; --------- ; ; FOTD -- July 14, 2009 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; What does today's image have to do with East Valley? It has ; everything to do. There are 12 east valleys in the image. The ; tip of the 12 spikes at the top of the scene are actually 12 of ; the 10-million east valleys spaced evenly around the edge of an ; order 10,000,001 minibrot. ; ; On my screen the spikes at the top of the image are about 3cm ; apart. Since there are 10-million spikes around the perimeter ; of this minibrot, its circumference must be 30-million centime- ; ters, which gives a diameter of about 10-million cm. Since ; there are 100,000 centimeters in one kilometer, the diameter of ; the entire minibrot at the scale of the image must be about 100 ; kilometers or 63 miles. No wonder the tiny bit of the minibrot ; that fits on the screen appears to have a straight edge. It's ; the same reason that the surface of the earth appears flat. ; ; Another curiosity is the detail inside the 12 spikes. At first ; glance, this detail appears to be identical in every spike, but ; actually it changes slightly in each spike. What an interesting ; trip it would be to circle the entire minibrot and watch the ; detail in the 10-million spikes gradually cycle through its ; series of changes. ; ; The elements at the top of the frame are made of order-10000001 ; stuff, which changes very slowly. The elements at the bottom of ; the frame are quadratic stuff however, and down here the changes ; come fast. And yes, there are countless smaller near-circular ; minibrots in the image. The most obvious one lies in the lower ; right quadrant. ; ; I named the image "One Long Shoreline" after the 300-kilometer ; shoreline of the minibrot whose edge appears at the top of ; today's image. I rated the image at an 8 because that's what I ; think it's worth. ; ; The calculation time of 4-1/2 minutes is well within reason. ; But if you decide to calculate the image, don't become concerned ; when nothing shows up for a minute or so. The top several lines ; are blank black. ; ; As always, the finished image is posted for immediate and total ; gratification on the FOTD web site at: ; ; ; ; Picture perfect weather prevailed here at Fractal Central all ; day Monday, while the fractal cats, Nicholas and Cassie, took it ; easy. (For the exact conditions, picture an absolutely perfect ; day at your favorite spot on earth.) At one point, Nicholas, ; apparently having forgotten the talk he had with the doctor when ; he was a kitten, got a bit frisky and started yelling like a ; lovesick tomcat. A quick serving of half-and-half settled him ; down and reminded him of what the doctor had told him. ; ; My day was un-eventful. With only a modicum of luck, tomorrow ; will be the same. The next FOTD will be posted in 24 hours. ; Until then, take care, and wouldn't life be dull if rational- ; thinking skeptics were right when they claim the paranormal does ; not exist? (Of course, this in no way implies that I think the ; skeptics are wrong. I *know* they are wrong, even though they ; are convinced they are right!) ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= One_Long_Shoreline { ; time=0:04:30.40-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-43.09731830432293/+56.66689961740695/\ 2.21687e+010/1/110.34/0 params=10000001/100 float=y maxiter=4000 inside=0 logmap=157 periodicity=10 colors=000`I4_H6YG8XFBVEDUDFSCGQBINAKLALIANGAQDARB\ AT7BV6DW5FY5I_5Lb5Ld5Nf5Og5Oj5Pm5Rn5So5Tn5Rn5Pl5Pk\ 5Ok6Ni7LgBLfDJdGIdIGbKGaNE_PD_SDYUBWV9VY7T_7Tb6Rd4\ Qf2Pi2Nk1Nn1Lp1Kq1It1Iv1Gy1Fz1Dz1Bz1Bz19z18z16z14z\ 16z16z18z18z19z19z19z1Bz2Bz6Dz9DzDFzGFzJFzNGyPGySI\ wSIwPKvNKvJKvGKtD4t90s60s20q10q42p78pBDnDInGLlJQlN\ VkP_kTbiWgiYlg`qgdtfgyfjzdkzblzdmzdnzdozdpzfqzfrzf\ szftyfuxgvvgwtgxqgxogxnixkixiixgixfixbkxakx_kxYkxV\ kxTlxRnxPpxNqxLsxKtxGvxFwxDyxBzx8zx6zx4zx1zx0zx0zx\ 0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0wx0px0gx0_x0Y\ x6WwFWvNVvVUtbSrkQplPpiNobSmV_lNglFpj0wi0zg0zg0ze0\ wd0rb0mb0h`0c_0ZY0UY0PW0KU0FU0AT09R09S0BS0DS0DS0ES\ 0GS0GS0IS9ISPKQbLOmLMmNKmPImPGmQEkPDkNDkLBkKBkK9kK\ 9kK7kKDbKDbKDbKDbKDbKDbKDbKDbKDVKDVKDVKDVKDVKDVKDV\ KDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKD\ VKDVKDVKDVKDVKDVKDVKDVKDV } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint