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 <enter> 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: <http://www.crosscanpuzzles.com/Archives.html> The high-definition rendering is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> 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: <http://www.Nahee.com/FOTD/> 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=========================================