;     Date: Wed, 14 Apr 2004 11:03:20 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 14-04-04 (Inter-Dimensional [7])
;       Id: <1.5.4.16.20040414110639.0d771eac@pop.mindspring.com>
; ---------
; 
; FOTD -- April 14, 2004 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Fractals are said to be things with a fractional dimension.  
; This concept is as hard to visualize as things with four 
; dimensions, but I think I have a vague idea of fractional 
; dimensions.  The way I visualize an object or a space with, 
; say, 2-1/2 dimensions is to picture something that extends 
; indefinitely in two dimensions but has limited freedom to extend 
; in the third dimension -- kind of like a lumpy plane.  Of 
; course, fractional dimensions are not supposed to be real 
; things.  Like the many interpretations of quantum mechanics, 
; they are mathematical concepts which happen to work rather well.
; 
; There is no uncertainty of the number of dimensions of today's 
; image however.  It most certainly has two dimensions.  If it did 
; not, it could not fill the monitor screen, and could not be 
; printed on the surface of a sheet of paper.
; 
; The scene is located in the fractal that results when 4.5 
; negative parts of Z^3 are combined with 3.375 negative parts of 
; Z^4 and 1/C is added.  This parent fractal consists of a main 
; Mandeloid surrounded by numerous large holes, which act as the 
; terminals of filaments.  Today's image is located very near the 
; point where a filament of a sub-bud of the main bud of the 
; parent Mandeloid terminates in a hole.
; 
; A good part of the image consists of empty holes, which have 
; been brought to life by the 'bof61' inside fill.  All this 
; dimensional stuff inspired the name "Inter-Dimensional".  I 
; originally had rated the image at a 6, but then I happened to 
; view it from across the room, and noticed that it looks as good 
; at a distance as it does close-up.  I raised the rating to a 7, 
; which, when the render time of 7-1/2 minutes is considered, 
; gives an overall value of 93.
; 
; The most efficient way of viewing the image is to download it 
; from Paul's FOTD web site at:
; 
; 
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; The clouds hung tough all day Tuesday here at Fractal Central, 
; while the rain fell in sudden short showers.  Combined with a 
; temperature of 48F 9C, these conditions proved too rigorous for 
; the dynamic duo, who spent the afternoon on their shelf by the 
; window, watching the birds and taking turns washing each other.  
; In the evening, a generous treat of mackerel helped improve 
; their moods.  Today is starting like Tuesday did -- with clouds 
; and light rain.  I expect similar things from the duo.
; 
; For me, it's work until it's finished.  That should take around 
; 5 hours, then it will be time for the daily trip to Fractaltown. 
; In 24 hours, I'll report what I find there.  Until then, take 
; care, and who could possibly solve the mystery of fractals?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Inter-Dimensional { ; time=0:07:33.19--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.31630130595552000/+0.075484039727471\
  52/9.709767e+009/1/-17.5/-0.00200669961294230176
  params=-4.5/3/-3.375/4/0/0 float=y maxiter=2000
  inside=bof61 logmap=114 periodicity=10
  colors=0000N_0PZ0RX0TV0VT0XR2_P4bN6eL8hJAkGEoAGs6J\
  u0Nw0Pz0T60T60ZR0`M0eG0iPUmZ0shcvqmzqmzh0ziczA0zbU\
  z60z6Kz60u60u80qG0oM0kT0g`0eh2bo4`u4Xd0zm0R80zz00z\
  00z00z06z0Ey0No0Vf0dX0kN0RXCRdPRj`PfdNdeNbgLZkJXmJ\
  VoHRsGPuGNvEKzCIzCGzACz8Az88zGAzLCuRCmXEebEXgGPmGH\
  sIAxI2qXGkkTeye`zsVzz0zm0zo4zoCuoHkoPdoXVobNoZKkVI\
  iRGgNEeJAdG8bC6`86Z46V06T06R06P06N06L06J06H06T0Ad0\
  Mo0Xz6hzuz0sy4swAssGsqLsoRqkXqjbqfeqdkqbqoZvoXzoTz\
  oRzoPzgMz`KzVIzNGzHEzAAx48u06q06o06k06i06g0Cg0Ge0M\
  e0Rd0Vd4`b6dbAjbEo`Hs`LyZPzZTzXXzXZzXPzeGzo6zx0zz2\
  zz8zzEzzJuzPozVhz``zeTzkMzqGzv8zz6zz6zz6zz6zz6zz6z\
  z6zz6zv6zu6zs6zo6zm6zk6zg6ze6zd6ze6zg6ziAziGzkMzmR\
  zmVzo`xqfxqkxsqvuwvuzvszuqzsozqmzqkzokzmizmgzkezid\
  zidzgbze`zeZzdXzbXzbbwZekXkZVoNTsCRuIJuNEvT6vZ0dh0\
  Nq04z00z00z00z80yL0uX0qg0mu0jz0fz6bzGZzNXxXTseRmmN\
  gvMbzIXzGRVjZLZgCPq2Gz06z }

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==================================
; 
;