; Date: Sat, 19 Feb 2011 20:42:43 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 20-02-11 (Out of Order [5]) ; Id: <1.5.4.16.20110219204240.10871998@pop.mindspring.com> ; --------- ; ; FOTD -- February 20, 2011 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; An antiquing expedition did happen on Saturday, and it left very ; little time for a proper fractal search. However, I did manage ; to find an acceptable image, (rated a 5), in the parent fractal ; that results when the formula Z^(1.99)+C is iterated just one ; level up the complex logarithmic hyper-spiral and no function is ; applied. ; ; On its surface, this parent appears to be a normal everyday ; Mandelbrot set that has been rotated so that its main spike ; faces northeast instead of west. But problems arise on the ; negative X-axis, which in today's parent cuts through what is ; normally the southeast shore line of the main bay. Today's ; image lies in the mess of discontinuities in this small area. ; As would be expected, the image consists mostly of discontinui- ; ties. ; ; The name "Out of Order" refers to the fact that it is not normal ; for the negative X-axis to cut through the southeast shore line ; of the main bay of the M-set. ; ; The calculation time of 3-1/2 minutes may be cut to 2-1/2 ; minutes by resetting the passes to 'g', but doing so will cause ; some of the finer detail to be missed. ; ; Both speed and accuracy may be achieved by viewing the finished ; image on the current FOTD web site at: ; ; ; ; The original web site with all the past FOTD images may be ; accessed at: ; ; ; ; Lots of clouds, a strong northwest wind and a steadily falling ; temperature made Saturday anything but enjoyable here at Fractal ; Central. When the temperature dropped below freezing late in ; the afternoon, the fractal cats took to their shelf over the ; heat, where they enjoyed a comfortable evening. ; ; FL and I spent most of the day on an antiquing expedition. With ; the work just about caught up, the rest of the day was unevent- ; ful. The next FOTD will be posted in 24 hours. Until then, ; take care, and be satisfied with less than everything. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Out_of_Order { ; time=0:03:33.75-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.58310178265/+0.00224032835/223521/1\ /-105/0 float=y params=1.99/0/1/0 logmap=107 maxiter=1750 inside=0 colors=000EJK9DD466I6mF5fD4`B3V93P62I41C206oUYiQUc\ NQYKMSGINDFHABB67533VTuSQpQOlNMgLKcJHZGFVEDQBBM98H\ 76D4482243tP2lL2eI1ZF1SC1L90E6073NfhIY_DPR9HI489z3\ ku2gq2dm2ai2Ze2W`1SX1PT1MP1JL1GG0CC09806403uvdqram\ nZjjXfgUbcS__PWXNTTKPPHLMFIICEEAAB7775332`7nB3lLpl\ JlhIheGebFaZEZWCVTBSQ9OM8LJ7HG5ED4A9276133FDnA8Y54\ H`P3YN2WL2TK2RI2OG2MF1JD1HB1EA1C81960750430210x8Ts\ 7Qn6Oi6Me5K`4HW4FS3DN3BI28E1691440264X53U43R42O32L\ 32I21F21C1191060038vk6lc5bW4TO2JGdAN`BJYBFRAMLATEA\ _8AeNPlacrorxjntfkpbhlYehUbdQ_aItsKmnLfiM_eOT`PMWQ\ FS865D7EirpU_ZFIHry9nt8jp7gl7ch6_d6X`5TX4PS4MO3IK3\ EG2BC1781340guSZiMQYGHNB8B55ld4g`4cY3_U3WR2SN2OK2K\ H1GD1CA086043kVD_N9OF6C73gsoXebMZQBcDdhXZmSTrNNvIH\ zEBz95z4SzdQzaOzZMzWKzUIzRGzOzzLzzJzzGzzDzzAzz8zz5\ zz2zzzzzzzzQzzzzzTzzzzz0zzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|