;     Date: Thu, 17 Jul 2003 11:16:55 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 17-07-03 (Antlers in the Treetops [5])
;       Id: <1.5.4.16.20030717111659.2b6fa6d4@pop.mindspring.com>
; ---------
; 
; FOTD -- July 17, 2003 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; I saw four green antlers when I studied today's image in search 
; of a name.  In a fit of whimsy, I named the image "Antlers in 
; the Treetops".  I have no idea how antlers might get in the 
; treetops, since deer do not climb trees, but the name has a nice 
; sound to it, so it will remain.
; 
; The parent fractal was created by combining decreasing portions 
; of Z^2, Z^3, Z^4 and Z^5, calculating a critical point and 
; entering that critical value as initial Z in the MandelbrotMix3a 
; formula.  Actually, there are two critical points visible in 
; today's formula when it is calculated in the parabolic 
; direction.  I chose the secondary critical point because lesser 
; critical points often produce the most interesting fractals.  
; Though I have not yet checked the main critical point, I suspect 
; it produces a fairly normal Mandelbrot set.
; 
; The parent fractal is a vaguely triangular thing with X-axis 
; symmetry.  Its eastern part degenerates into non-critical chaos, 
; but an 'East Valley' type feature decorates the west part, while 
; prominent buds with three valleys lie on the north and south 
; edges.  Today's scene lies in one of the three valleys of the 
; north bud.
; 
; The four antlers in the image are spectacular to only an average 
; degree.  They therefore rate an average rating of a 5.  The 
; render time of 13 minutes is also about average for a F.O.T.D. 
; image.  The average download time of the completed GIF file is 
; around one minute.  And that download may be accessed at:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and at:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; Wednesday was a hot but dry 90F 32C day here at Fractal Central. 
; The cats were cool as they passed the afternoon resting in the 
; shade of the holly trees.  Of course, now that the duo are in 
; their 13th year, resting is just about all they do.  Only their 
; location changes.
; 
; Today is progressing in a similar manner.  My tasks for the day 
; begin with the professional work, then shift to fun with 
; fractals.  To see the results of that fun, check back in 24 
; hours.  Until then, take care, and be open to new fractal ideas.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

AntlrsInTheTreetps { ; time=0:13:20.15--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix3a function=ident passes=1
  center-mag=-1.004490349172/+0.54556575218534/18962\
  6.6/1/-15/2.341400962e-010 params=1/2/0.5/3/0.333/\
  4/0.25/5/-1.18856877723752/0 float=y maxiter=1200
  inside=0 logmap=76 periodicity=10
  colors=000msflrelqekqekpdjodjodincinchmchlcglbgkbf\
  jbfjaeiaeiadhadg`cg`cf`be_be_ad_ad_ccZdcZecZfcZgcZ\
  hbYibYjbYkbYlbYmbYnaXoaXpaXqaXnaXjbXcc2Uh7KmCArH6w\
  M7vL7tL7sL8qL8oL8nL8lL9jK9iK9gK9fKAdKAbKAaKB_JBYJB\
  XJBVJCTJCSJCQJCPJBOIBNIAMIAMH9LH9KH8KH8JG7IG7IG6HG\
  6GF5FF5FF4EF4DEADEFCEKBEPBDUADcRDmZDtfdtdbqcanb`ka\
  _h`Ze_XbZW_YVXWUUVTRUROTQLSPIROFQNCPMEQOFRQGRRISTJ\
  SVKTWMUYNU_OV`QVbRWcSWeUXgVYhWYjYZlZZm__o`_pa`ma`j\
  b`gb`ec`bc`_d`Xd`Ve`SeaPfaMfaKgaHgaEhaBha9ia6ia3ia\
  1hbFgcTfdfdadc_bbYaaW_`UY_SXZQVYOUWOTVORTPPSPOQQMP\
  QLNQJMRIKRGJSFHSDGSCIUDKWDLXDNZDO_EQaERbETdEUeETdF\
  SdFSdGRcGRcHQcHQcIPbIObJObJNaKNaKMaLMaLL`MK`MK`NJ_\
  NJ_OI_OI_OJ_NK_ML_MM_LN_KN_KO_JP_IQ_IR_HS_GS_GTbFU\
  eEVhEWkDXnCXqCYtBZwA_zA`z9az8az8_zEZzKXzQWzWVz`XzZ\
  YzXZzW_zU`zTazRbzQczOdzNezLfzJgzIhzGizFjzDkzClzAdz\
  WezYfzZgz_hz`izbjzckzdlze }

frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }

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