; Date: Thu, 31 May 2012 19:45:34 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-05-12 (Fractal in the Sea [9.75]) ; Id: <1.5.4.16.20120531194837.37df60e0@earthlink.net> ; --------- ; ; FOTD -- May 31, 2012 (Rating 9.75) ; ; Fractal visionaries and enthusiasts: ; ; Today's image rates a 9-3/4, which is one of the highest FOTD ; ratings of all time. At least 2.75 points are a bonus for the ; coloring effort. Without the colors the image would have rated ; no more than an everyday 7. I granted myself the unusually ; large bonus for the very convincing effect of a fractal object ; floating on the surface of a serene lake. (Actually, the ; program created the basic palette. I merely tweaked it.) ; ; Yes, I know there are formulas that apply this lake effect to ; fractals, but today's image achieves the watery effect using ; nothing more than the natural numbers. The scene is appropriate ; -- Seahorse Valley area of the Z^2+C Julibrot. In today's image ; the valley is viewed from an angle about halfway between the ; Oblate and Rectangular directions. ; ; The reason for the name "Fractal in the Sea" will become ; apparent as soon as the key is struck and the image, ; which is a very fast one, begins building on the screen. ; ; FOTD old-timers with sharp memories may remember a virtually ; identical image from several years ago. That image was created ; with a different formula however, and suffers from too much ; periodicity checking. Today's version retains the old colors ; but shows the total image with nothing left out. ; ; Though the image finishes in a mere one minute, it is still ; necessary to contend with the nuisance of setting up and running ; the parameter file. All such nuisances may be escaped however ; by visiting the FOTD web sites. ; ; The finished image is posted at: ; ; ; ; The high-definition rendering is posted at: ; ; ; ; The hi-def version is so real that I advise having a bath towel ; handy before viewing it. ; ; All the back images are online at: ; ; ; ; Drier air and crystal blue Kodachrome skies dotted with puffy ; cumulus clouds made today a prize winner here at Fractal ; Central. Since Kodachrome film is now a thing of the past, it ; might be better to describe the sky as digital blue, but somehow ; it just doesn't sound the same. One thing that never changes ; however is the way temperature feels, whether it's measured in ; Fahrenheit or Celsius, and the high of 79F 26C fell right in the ; middle of the comfort range. ; ; The fractal cats were far too interested in their new cube ; complex to concern themselves with the outside weather. They ; enjoyed exploring the cube maze so much that they raised their ; tails in eager anticipation and dragged the very light cubes out ; of alignment. Perhaps we humans need to add some weight on the ; bottoms of the cubes to anchor them in place. But we don't want ; to make the cube bottoms too lumpy for the cats to curl up and ; sleep in. ; ; The next FOTD, much drier than today's watery image, will be ; posted before long. Until then, take care, and I hear that the ; end of the world scheduled for this coming December 21 has been ; cancelled. I was looking forward to it with abated breath. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Fractal_in_the_Sea { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.0518924/0\ /2.548364/0.9081/90/0 params=40/90/0/90/-0.75/0/0/\ 0/2/0 float=y maxiter=100000 inside=255 logmap=yes periodicity=0 colors=000Q0hR2iS5jT8kUPnVSmWTnXVoYXpZZq_`r`bsadtb\ fuchvejwfkwglxfkzekwdjvciubhtagrafq`ep_doZcnYbmXak\ X`jW_iVZhUZgUYgTXfSWdRVcRUbQTaPS`OR_NQYMPXMPWLOVKN\ UJMSILRHKQGJPGIOFHNEGLDFKCEJBDIBCHABG9AE89D78C67B5\ 6A55944733622511400300600810A30A509709908B07D07F06\ H36J45L54O54R53U53W52W41W31W10W6IW5HW5HW5HW5GV5GT5\ GT5GS5FR5FR5FQ5FQ4EP4EP4EO4EO4DN4DM4DM4CL4CL4CK4CK\ 3BJ3BJ3BI3BH3AH3AG3AG3AF39F39E39E39D28C28C28B27B27\ A27A2792682682672671561561551551441431431321321311\ 3102002002002001001001001000000000z0Qn0mm0ml0mk0mj\ 0mi0mg0Mf0Le0Kd0Kc0Jb0Ja0I_0IZ0HY0GX0GW0FV0FT0ES0E\ R0DQ0DP0CO0BN0BL0AK0AJ09I09H08G07E07D06C06B05A0590\ 4803603502402301201100r0`p0_o0Zn0Yl0Xk0Wj0Vi0Ug0Uf\ 0Te0Sc0Rb0Qa0P`0OZ0OY0NX0MV0LUYKTXJSVIQUIPSHORGNPF\ LOEKNDJLCHKCGIBFHAEF9CE8BC7AB68A678567455334222111\ 0ENuDMsDLrL4dL4dL3eL3eaKa } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;