;     Date: Sun, 06 Oct 2002 11:20:47 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 06-10-02 (Otherworldly Image [7])
;       Id: <1.5.4.16.20021006112212.29efac6e@pop.mindspring.com>
; ---------
; FOTD -- October 06, 2002 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; For some reason, I named today's fractal "Otherworldly Image".  
; I forget the reason, but fractals are truly not of this world.  
; How could they be when even the simple fractals I work with 
; exist in four dimensions, and this 'real' world of ours is 
; endowed with only three spatial dimensions?  So the name is 
; justified after all.
; 
; The formula that created today's fractal adds together 8 parts 
; of Z^(-1.3), 2 parts of Z^(-8.3), and one part of (1/C).  The 
; location of the image is in a Seahorse-Valley-like area of its 
; multi-bayed parent.  In this valley, the filaments extending 
; from buds end in ring-shaped loops with various decorations and 
; open areas along the loops.  These ring-like features are very 
; common in fractals that combine two negative powers of Z with 
; the reciprocal of C.
; 
; In the image, we are looking deep into one of the decorations in 
; the interior of a ring.  The ring theme infests the image, which 
; is filled with rings and parts of rings.  There are tiny rings 
; at the peaks of the hills, and gigantic rings out beyond the 
; borders of the image.  I might have named the image "Ringworld" 
; had that name not already been taken.
; 
; After a bit of critical consideration, (I CAN think critically), 
; I rated the image at an above-average 7.  The coloring at least 
; has somewhat of a theme, and the image is actually rather 
; pleasant to look at.
; 
; The 9-minute render time from the parameter file is a bit slow, 
; but not beyond reason on a Sunday, the day set aside for fun and 
; rest.  The minor task of rendering may be escaped by downloading 
; the completed GIF image from:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; or from:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; The Saturday weather here at Fractal Central turned out to be 
; even warmer than Friday's.  The temperature reached 88F 31C, but 
; drier air and a fresh breeze kept things within comfort.  
; Approving of the conditions, the fractal cats spent several 
; hours in the yard, behaving like the angels which they most 
; certainly are not.
; 
; It is now Sunday morning, and I've got to think of something to 
; do this afternoon that will make the day at least slightly 
; memorable.  If I were to find the world's best fractal, that 
; would do it, but if I did find the best fractal, how would I 
; know it?  What makes some fractals good and others not as good?  
; If fractals had never been discovered (or invented?) would there 
; still be good and less-good fractals?  While I'm pondering these 
; not-quite-monumental questions, I just might go out and have a 
; bit of a good time.  Until next time, which will arrive in about 
; 24 hours, take care, and continue the search for eternal, if not 
; universal truth, which, like fractal worth, might also be a 
; by-product of the human way of thinking.
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE================================

Otherworldly_Image { ; time=0:09:10.03--SF5 on a p200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.01903798379545600/+0.189182678822770\
  60/9.653445e+008/1/-130/-3.14957595125980871e-006
  params=8/-1.3/2/-8.3/0/525 float=y maxiter=1600
  inside=0 logmap=132 periodicity=10
  colors=000LBaLBcJ9gJ9eI9fI9gLDgNEiOIiRJkRNkVOlXRnY\
  Tn_XpaYpbaqfbsgfsigtkktllwppxqqxstztwzwzzxzzaLsG0l\
  E0kE0iD0iD0gD0gB0fB0s90d91l92b86e88a6Ba6D_6EV5GW4I\
  X4JX2NV2OV2QT1TT1VRgY0fX0dX0bX1aX1_X2YX4XX4VX6TX8R\
  X8QX9OXBNXBNXDLXEJXEIXGGXIEXIDXJBXL9XL8XN6XO4XO2XQ\
  1XRzzzzzzzxzztzwszqpzknwfls_inTgkOdfIbbD_Y6YVlkifg\
  f_fdVdaOb_IaYD_V6YT0Ik0Ji0Lg0Lf0Nd0Ob0Oa0Qa0R_0RY0\
  TX0VV0VT1XR2lz1iz1gz1fs1dn1ag1_b1YXzY0zX0xX0wX0sX0\
  qX1pX1lX2kX4iX4gX6dX8bX8aX9YXBXXBVXDRXEQXEOXGNXIJX\
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  22E42D64D86D98BB8BB99DB9EB9GD8IE8IG6JG6LI6NJ4OJ4QL\
  2QN2RO2TO1VQ1XRzRTzTRzTRxTRsTRnVRgVRbVRYVRRVRNXRIX\
  RBXR6XRz0nq0ki0gb2dV8bNE_GLX8RTziGkdLO_Ofz0bz0az0Y\
  z0Xz0Vz0Rz0Qw0Nt2Lq4Jp8GlBEkDBgG9fI8bL4aN2YQ0az0_z\
  1Yg6s04q04p04n24l42k82i92gB2fE2dG1bJ1aL1_O1YQ6QI4R\
  J4RJREpQEpQEnODnODlNDkNBk }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

; END PARAMETER FILE==================================
; 
;