; Date: Mon, 25 May 2009 17:37:10 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 26-05-09 (World-Wide Webs [7]) ; ; Id: <1.5.4.16.20090525173819.2b47a99c@pop.mindspring.com> ; --------- ; ; FOTD -- May 26, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is filled with things that look like spider webs. ; This is why I named it "World-Wide Webs". The parent fractal is ; what happens when the formula Z^(1.83)+C is calculated 18 levels ; up the logarithmic hyper-ladder, (or hyper-spiral). This parent ; resembles a partially-eroded Mandelbrot set rotated about 180 ; degrees, with a very large disconnected minibrot just inland on ; the northwest shore line of the main bay. Today's scene is ; located in what I take to be East Valley of this minibrot. ; ; The rating is limited to a 7, mostly due to the colors, which ; have an annoying muddiness that I couldn't get rid of. But the ; image is still an example of some of the unexpected scenes in ; the fractals with exponents of Z between 1 and 2. ; ; The calculation time of 1-2/3 minutes is blessedly brief. ; Equally brief is the trip out to the FOTD web site at: ; ; ; ; where the already-calculated image may be viewed at leisure. ; ; Tons of sunlight prevailed here at Fractal Central on Monday, ; and the fractal cats made the most of every photon of it. ; Nicholas got a bit testy when a wandering tomcat made a litter ; box of the side walkway, but Cassie calmed him in a hurry when ; she started playing with the catnip rat. ; ; My day was slow and lazy, which is the way I prefer days to be ; . . . up to a certain point, that is. The next FOTD will be ; posted in 24 hours. Until then, take care, and how do we know ; for sure that anything is real, or even if such a thing as ; reality actually exists, for that matter? (My guess is that ; it's a leap of faith necessary to make science work.) ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= World-Wide_Webs { ; time=0:01:42.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.8745118926611518/+0.566229601300528/\ 283049.1/1/-55/0 params=1.83/0/18/0 float=y maxiter=1750 inside=0 logmap=133 periodicity=10 colors=00050050050250950F50K50Q50X50VB0TH0OM0OT0MY\ 0IiBgvazzzzzvzzozzizzdzzXzzQzzKzzFzz9zz_zxzzozzzXz\ z0zz0zt2zdFzOQz9dz0oz5goFaVOX9YQ0gK0eV0dd3a_2_Y0YX\ 0XV0XT0VQ0TO0QM0QK0OI0QH0VD0_A0eA0hA0mA2pA5sA7vEBx\ IFzMIzQKzSOzUOzWOzYOqTOgOOY0OO0OF0O50O00O00O00O00O\ 00O20O95OF9OMFVVK_aQgiXno_vxezzlzzqzzxzzzzIz_QzXXx\ VdxQlvMqvKztHztFzqBzq9zzezzzzzzxqoideXOVIBK50B0020\ 000000002303905F07K09O03H00B003000000700D00I00O00T\ 00X00_00d00g53lB9oHFtMIxTOzYVzdYzidzngz_QzM9z90zD2\ zF7zIDvKInOOeQVYV_QXeI_lBaq3ex0gz0lz0zzzTzzzzz0zzz\ zz0zzzzz0zzzzz0zzzzz0zzzzzzzzzzzzzz2zz3zz7zz9zzBzz\ Q0zM0zI0zH0zDBz9Mz7Xg3gO2qI0za0zi9zoOzvdzztzzzzzzz\ zzvdz_0Xqd0zz7znFzIMz0Bz30lH0XXzFiz0xz0zz0zz0zz0zz\ 0zz0zz7dzFHzK0zV0zd0zn0zx0zz0zz0zz0zz0zz0zz7zzHzzO\ zzKzzHzzDzz9zz5zz2zz0zz0zz0Kz2ez3zz5zzYzzzzzqzzizz\ azzVzzMzzFzz7zz0zz5nzngzo } 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|