; Date: Sat, 08 Jan 2011 19:35:50 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 09-01-11 (Chaos Incorporated [7.5]) ; Id: <1.5.4.16.20110108193547.145fe06e@pop.mindspring.com> ; --------- ; ; FOTD -- January 09, 2011 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; As long as one does not look too deeply into the parent fractal ; of today's image, it appears to be an everyday Mandelbrot set, ; but in its depths a certain strangeness starts to creep in. ; The surface minibrots are perfect miniature M-sets, but as we ; go deeper, the minibrots become confused, as though they are ; undecided whether to be quadratic or quintic miniatures. Then, ; when we reach the deepest depths, the minibrots are purely ; quintic, with the four lobes and everything else expected in ; such minibrots. ; ; Normally, quintic minibrots are rather boring things, with a ; tendency to all look the same, but the minibrot in today's ; image is far from boring. Minibrots usually lie at the center ; of a basin, with the iteration count steadily increasing as the ; minibrot is approached. Some minibrots in fractals created with ; certain formulas, such as the minibrot in today's image, are ; like volcanoes however -- rising mountains with deep craters at ; their peaks. As we near these minibrots, the iteration count ; first decreases gradually, then rises rapidly as we approach the ; minibrot itself. The reddish parts of today's image are the ; lowest iteration stuff. The sky-blue stuff behind the dark blue ; blobs surrounding the flat circular red ridge, as well as the ; stuff near the minibrot, is the actual high-iteration stuff. ; ; The image is located in the trunk of the period-10 elephant on ; the southeast shore line of the parent M-set. It is quite close ; to the limit of resolution, which makes the 'mathtolerance' ; entry necessary in the included parameter file. The name "Chaos ; Incorporated" expresses my impression of the background areas ; surrounding the red mountain. ; ; The rating of a 7-1/2 includes a half point for the coloring, ; which is a not-insignificant part of the image. (My modesty ; prevents me from rewarding myself with more than a half-point ; bonus.) ; ; The calculation time of 2-1/3 minutes is a fair price for such a ; curious image. The image may be seen for free on the currently ; active FOTD web site at: ; ; ; ; The original FOTD web site, not up to date, may be seen at: ; ; ; ; Lots of clouds filled the skies over Fractal Central on Satur- ; day, while the temperature hung around 27F -3C. Light snow also ; fell most all day, but by evening had amounted to no more than ; 1cm. The fractal cats complained about the lack of sun and then ; found comfort on the shelf over the hall radiator. ; ; My day was enjoyably slow. We needed the rest after the hectic ; days of the past few weeks. The next FOTD will be posted in 24 ; hours. Until then, take care, and be in there with the big time ; thinkers. (I leave it to the individual to decide who the big ; time thinkers are.) ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Chaos_Incorporated { ; time=0:02:23.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3438119752193327/-0.0560302035781458\ /2.973926e+013/1/-12.6/0 params=5/10000000000.0/0/0 float=y maxiter=1250 inside=0 logmap=164 periodicity=6 mathtolerance=0.05/1 colors=000zhdzkfwkftmhrokmrmktohtodwrbxtZzwXzxVzzR\ zzPzzNzzJzzHzzFzzVZXh11x00w00t00r00o00m00m00k00h00\ f00d00d10f00h00h00k00m00m00o00o00r01t0Kt0Uw0cw0mx0\ mz0iw0ft0cq0`n0Tj0Le0D_07V01Z04`05a07d0Ag1Ci2Dk4Fm\ 7Jo8LrANrDRtFTtHVwJXxN`xPbzRdzTfwRhrRhmRhhRkdRk`Rk\ XRkTRmPRmLPmHPmDPoAPo7Po4Po1Pr0Pr0Pr0Pr0Tt0Vw0Xw0Z\ x0`x0bz0dz0fz0hz0kz0mz0oz0rz0tz0wz0xz0zz0zz0zz0zz0\ zz0xw4tkAo`HkRNfJVbAbZ2kV0tR0zP0wR0tT0rV0oV0mX0kZ0\ h`0f`0db0bd0`f0Zf0Vh0Tk0Rm0Pm0No0Lr0Jt0Ht0Fw0Dx0Cz\ 0Az0Dt0Fm0Hf0J`0LV0NP1PL4TF5VA8X5AZ1D`0Fb0Jd0L`0NX\ 0NT0NR0NN0NJ2PH4PD5PA8P8AP5CP2FR1HR0LR0NR0PR0TT0VT\ 0XT0`T0XT0TT0PV0LV0HV0DX0AX07X04X01c01h01c01r01e01\ j01e01x01g01n01g01x01i01n01i01z`kz`kz`kz`kz`kz`kz`\ kz`kz`kz`kz`kz`kz`kz`kz`kz`kzwwzwwzwwzwwzwwzwwzwwz\ wwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzww\ zwwzwwzwwzwwzwwzwwzwwzwwz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;