; Date: Wed, 26 May 2010 23:49:03 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-05-10 (Squirt Minibrot [7.5]) ; Id: <1.5.4.16.20100526235013.2b57eaf0@pop.mindspring.com> ; --------- ; ; FOTD -- May 27, 2010 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; THIS VERSION WORKS!!! ; ; Today's unusually colorful image shows a minibrot in the parent ; fractal that comes about when the expression Z^(sqrt(2))+C is ; iterated 11 levels up the complex logarithmic hyperladder, and ; no function is applied. ; ; In this case, the series of elements around the minibrots is ; 1.4142, 2, 2.8284, 4, 5.6569, 8, etc. But with all the discon- ; tinuities in the images, this series is exceedingly difficult to ; discern. Despite the discontinuities, some interesting scenes ; sometimes pop up along the way however, and today's image is one ; of these scenes. ; ; The name "Squirt Minibrot" is a play on the words 'square root'. ; I rated the image at a 7, then added a half-point bonus for my ; part in the coloring, most of which was done by the program ; anyway. ; ; The calculation time of just under 3 minutes is about what the ; image is worth. Extra value may be found by surfing out to the ; FOTD web site at: ; ; ; ; and enjoying the finished image in virtual relaxed comfort there. ; ; The fractal cats complained about the hot weather here at ; Fractal Central on Wednesday. When the temperature reached 91F ; 33C, they stretched out so far on the wood floor that we had to ; turn on the cool air for the first time this season. With the ; cool air on, the rest of the day was comfortable enough, at ; least indoors. The next FOTD will be posted in 24 hours. Until ; then, take care, and take my word for it. The globe certainly ; *IS* getting warmer. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Squirt_Minibrot { ; time=0:02:52.20-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=+0.2626651480634892/+0.8900190082293845\ /3.828861e+011/1/55/0 params=1.4142/0/11/0 float=y maxiter=1800 logmap=395 mathtolerance=0.05/1 colors=000T09V0AW0AX0AZ0B_0B`0Bb0Cc0Cd0Cf0Dg0Dh0Dj\ 0Ek0Em0Em0Kn0Qo0Wq0`r0cs0gt0kl5cmA_mEYnIVnMRnQNoUJ\ oYFoaBk`Cg_Dc_E_ZFWYFSYGOXHKWIGUICSJ8RK4PL1OLazC`w\ B_tB_qBZnBZkAYgAYcAXZAXVAYWDYXGYYIYYLYZNZ_QZ`TZ`VZ\ aaZbc_cc_cc_dc_ec_ecC0LF0HF0EG0AMA7Q63U30X82cD4mI6\ VN7WR9WWBX`CzeEYjGYnHzmSzlbzllzfmh`m_VnSPiJJeBDeCG\ cDJYELVFOdGQcHTaIWeJYcK`bLbaMe_NhZOjXPmWPyVRzWSuWU\ uWziWztWYgWZfWYdZXb`W`bV_dUYfTWhSVjRTmQRoPPqOOsNMu\ MKwMJyPKsSLmULhXMbZNXaNScOMfPGhPBkQ5mQ0lT4kV8kYCj_\ GjbKidOifSeSXbE`_0d`6c`Cb`IbaOaaUaa_`be`bk_bq_STKH\ 54KBCNHJQNQTTXWZcYdjUfcQhXMiQIkJEmCAn5Dj8GfAJbCMZE\ PVGRRIUNKXJM_FObBQd7SeBTeFTeJWeMZfQcfUhfXmf`rgdvgg\ zgkzgozgrzdozbmz_jzYhzWezKzMAzOAzQAzSAzUAzWAzYAz_A\ zaAzczzezzgzzizzLzzSzzYzzdzzjzzhzzfzzdzzbzzazz_zzY\ zzWzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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|