;     Date: Fri, 17 Oct 2003 10:10:00 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 10-10-99 (Mandelbrot Maestro)
;       Id: <1.5.4.16.20031017101101.2b17d6fc@pop.mindspring.com>
; ---------
; 
; CLASSIC FOTD October 10, 1998 (Mandelbrot Maestro)
; 
; Fractal visionaries:
; 
; It was cloudy today here in fractal land, with a few light 
; showers in the evening.  The high temperature of 68F 20C was 
; perfect for exploring a hyperfractal, which I did with my 
; Mandel_4-D formula.
; 
; Every fractal explorer knows that when the starting point of Z 
; is perturbed, the features of the resulting image are distorted. 
; But when the fractal is a four-dimensional Mandelbrot set, the 
; distortion can be downright grotesque, as today's image shows.
; 
; The mis-shapen object in today's picture is the prominent midget 
; on the negative tail of the 4-D hyper-M-set, viewed in a remote 
; perturbed plane.  I have named the picture "Mandelbrot Maestro" 
; because that phrase popped into my head as I studied the image. 
; I can't begin to explain why the image appears as it does.  Nor 
; can I explain exactly what the formula does.
; 
; At times, the fractals drawn by this formula don't make sense, 
; leading me to suspect that some of the images are artifacts.  
; I'll need to do quite a bit of testing before I can add comment 
; lines -- something that I have resolved to start doing with all 
; my formulas.  (Nothing is more annoying than having a formula 
; and not knowing how to make it work.)
; 
; The GIF file of today's quick image has been posted to:
; 
;         http://home.att.net/~Paul.N.Lee/FotD/FotD.html
; 
; Tomorrow . . . who knows?  I'll be here again with another 
; fractal -- that's for sure, but as to what type of fractal it 
; will be -- I won't know until I actually see it.  Even then I 
; may not know.  So until then, take care, and didn't someone 
; once claim that the fractals of Autumn are the best of the 
; entire year?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE============================

Mandelbrot_Maestro { ; 25 seconds on a P200 at SF5
  reset=1960 type=formula formulafile=jim.frm
  formulaname=Mandel_4-D center-mag=-1.75909/0.0021\
  9158/69.70197 params=0/0/0/1.137/0.001/0 float=y
  maxiter=1200 inside=0 logmap=yes periodicity=0
  colors=000KYN<8>1u43n7029<3>06H47H<4>TEOYAPbGQg7R\
  lISmCTnPUoIVpVWpOXq`YrPZsc_oNzsb_lHgkaekJckZakL_k\
  WYkNXkYVkPTkVRkRP<3>kVIkWGlYH<12>hD0<7>4p0<13>l7y\
  <3>DRq0_r<7>VA_Z7Yb1X<13>R_MRaMPcO<6>EpWHxa<2>BhZ\
  4f`<12>u9N<2>lTCi_9dd3<12>sg_<15>a38<10>SgUNoMJwF\
  <14>ZaV_`W`ZZ<9>bPx<3>lxe<6>ZrmYrnWpl<9>L``<2>GlZ\
  KcQNVIfJHy7HdALKDOVLY<3>NWQ }

frm:Mandel_4-D {; 4-D Mandelbrot, 8-D Julibrot
a=(p1), b=(0,0), d=p2+2:
f=sqr(a)-sqr(b)+pixel
b=d*a*b+p3
a=f
|a|+|b| <16 }

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