;     Date: Wed, 24 Mar 2004 10:37:46 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 24-03-04 (X-Y Mandel Fractal [5])
;       Id: <1.5.4.16.20040324104049.0da796e0@pop.mindspring.com>
; ---------
; 
; FOTD -- March 24, 2004 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; In today's image things start to go wrong.  The midget at the 
; center is clearly of the quadratic variety, as are almost all 
; midgets in fractals created by the MandelbrotMix* series of 
; formulae.  But the expected 2-4-8-16... series of elements 
; leading toward the midget is not as well defined as it might be. 
; The confusion is just starting to appear, but it is there, and 
; from here on, the confusion will only increase.
; 
; The parent fractal of today's image is virtually the same as the 
; parent of yesterday's image -- a seemingly harmless mixture of 
; Z^3 and Z^4 that would be expected to do little but create a 
; routine combination fractal.  In the world of fractals however, 
; surprises are common, which is why I find fractals so fascina-
; ting.  The surprises coming in the next few days are some of the 
; greatest I have yet stumbled upon.
; 
; I have named today's image "X-Y Mandel Fractal".  Something 
; about the image reminds me of pictures I have seen of the X and 
; Y chromosomes that determine an individual's sex.  I believe all 
; individuals start as women, but half are mutated into men by an 
; X-Y chromosome.  If this is true, then half the population of 
; earth consists of alien mutants bent on death and destruction.
; 
; After watching the news, I guess it's true!
; 
; Before getting sidetracked into politics, an ever-present 
; danger, I must get back on the fractal track and admit that I 
; could rate today's image no higher than an average 5.  When the 
; render time of 4 minutes is taken into consideration, the 
; overall value jumps to 118.
; 
; The best value of all is to download the GIF image file from the 
; FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; A warmer temperature of 48F 9C, lots of sun, and lighter winds 
; gave the fractal cats a pleasant afternoon in the yard here at 
; Fractal Central on Tuesday.  Today is starting still warmer, but 
; with clouds moving in, the duo might not be as happy.
; 
; For me, it looks like another routine day of getting the work 
; finished, then exploring in Fractal Land.  So until next time, 
; take care, and good fractals make unhappy cows give more milk.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

X-Y_Mandel_Fractal { ; time=0:04:13.92--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.52128983921205970/+0.000169467990356\
  02/988403.5/1/90/3.88578058618804789e-016
  params=1/3/0.3555/4/0/0 float=y maxiter=1200
  inside=0 logmap=78 periodicity=10
  colors=000AGQAHR9IS9JT8KU8LV8LW7MX7MY6NZgzzTzxRzvV\
  vsZrpbntfjwifzdZu_RqVJmz_KzUKzBKxI2uHCsGLpFVnEclI_\
  jMWhQTfTPdzMbuIapFdkKffPicUk`YnYbpVgrSkqPhqSfqWcp_\
  arcZvgXzkVg1ElHBqW9zj7zhBzfEzdHwbKt`OqZRnXUkWXhTZe\
  Q`bNa_KcXHdUEfRBgOKjLSlI_noVopRpqNqrIrsEstAtu6trBn\
  pFhnKblOXjTRhXMoi`lgWjeShdOfbKdaGbcCad9`e6_f3Zg0px\
  _lx`hwadwb_wcWvdSveOvfhVdjSkkQqjR_jRJZOLNLMMQOMVQL\
  _RLdTLiVKnWKsYKxZaHHWJKRKNMLQGNTBOW6PZCSbIUfNWjTYn\
  Z_rcaveXtfSshOriJpkEolAneBmZBlSCkLCjEDi8DiGEhNFgVF\
  faGeiHdpHcfQWYZOOgGFo8JkFNgMQdSU`ZYXe`UkZKlXAlW0lS\
  1mP2nM3oI4pF5qC5r9Jn6Xj4igHccUY`fSYsMVtQZtTatXdt_g\
  i_j_`mQapGbsFcrEdqDepCfpBgoAhnAinOjZ`kJml4jm9hnEfo\
  IcpNaqS_rWWsQTtKPuDMv7Jw1DxB8yK3zT9zXFz`LzdRzhXzlb\
  zphztmzwjzrgzndzjaze_zaXzYUzTRzPPzLLzQIzVEzZBzc8zg\
  9zh9zhAziAziAzjBzjBzkCzkCzlCzlDzmDzmEznEznEznDzlDz\
  jDzhCzfCzdCzbBz`BzZBzXAzV }

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