;     Date: Mon, 09 Jun 2003 11:00:18 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 09-06-03 (This is How Low [5])
;       Id: <1.5.4.16.20030609105957.29cf7f4a@pop.mindspring.com>
; ---------
; 
; FOTD -- June 09, 2003 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image takes us to the bottom of the barrel, way down to 
; the land of Z^(1.009)+C.  At this abysmal depth, the sand-like 
; fractal material has reached such a high maxiter that it is 
; effectively beyond reach.  But the areas of extreme discontinu-
; ities continue to multiply, and though still of a very high 
; maxiter, are within reach for those with patience.  The 'recip' 
; function was an accident.  The 'floor' function works best with 
; this formula, but the image is good, and who's complaining.
; 
; In today's fractal, the coloring makes the picture.  A very 
; broad palette is necessary to add definition to an otherwise 
; featureless image, but when this is done, a series of feathery 
; curving arms appears.  I have named the image "This is How Low" 
; because its exponent of Z is about as close to unity as it is 
; possible to come and still get something other than an empty, 
; featureless circle.
; 
; I have rated the image at an average 5, more for mathematical 
; interest than for artistic worth.  If it were not for the render 
; time of over 2 hours on my machine, the image might have rated 
; a 6.  But don't be put off by the slowness of the image.  Give 
; Paul and Scott a couple hours to render the image, then visit 
; their web sites to download the completed image.  Paul's site is:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; Scott's is:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; The rain held off on Sunday here at Fractal Central.  Despite a 
; temperature that never reached 70F 21C, the fractal cats had a 
; good day.  When the cats are happy, I'm happy also, so I also 
; had a good day.  Today is actually starting with some sun, and 
; no rain is forecast, making another good day near certain.
; 
; Once the day's work is behind me, assuming the cats are happy, 
; my day should once again be good.  Tomorrow's FOTD might launch 
; out in a new direction, or it might be a return to the 
; MandelbrotMix4 formula and the midgets it draws.  To see what 
; happens, check back in 24 hours.  Until then, take care, and 
; hope for the best.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

This_is_How_Low { ; time=2:05:42.24--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=mandelbrotbc1 function=recip passes=1
  center-mag=+0.07536313779841985/+0.000859404003554\
  35/8654862/1/51/-1.76329913170736319e-009
  params=1.009/0/-182/1000 float=y maxiter=12000
  inside=255 logmap=3216 periodicity=10
  colors=000zlPzmQzmQzmQzmQzmRzmRymRymRymRymSxmSxmSx\
  mSxmUwmTwmSwmSwmRvmRvmQvmQvmPumPumOumOumNtmNtmMtmM\
  tmLslKskKsjJsiJrhIsgItfHueHvfGwfGxgFygFwhEwhEwiDwj\
  CziDziDzhDzhDzgEzgEzfEzfEyeExeFwdFvdFucFtcGsbGrbGq\
  aGpaGo`Hn`Hm_Hm_HmZIlZIlYIlYIlXIlXJlXJlWJlWJkVJkVK\
  kUKkUKkTKkTLkSLkSLjRLjRLjQMjQMjPMjPMjONjONiNNiNNiM\
  NiMOiLOiLOiKOiKPhJPhJPhJPhIPhIQhHQhHQhGQgGQgFRgFRg\
  ERgERgDSgDSgCSfCSfBSfBTfATfATf9Tf9Uf8Ue8Ue7Ue7Ue6V\
  e6Ve5Ve5Vg3Wf4Ve5Ve5Vd6Ud6Uc7Uc7Tb8Ta8Ta9S`AS`AS_B\
  R_BRZCRYCQYDQXDQXEPWFPWFPVGOUGOUHOTHNTINSINSJMRJMQ\
  KMQLLPLLPMLOMKONKNNKMOJMOJLPJLQIKQIKRIJRHISHISHHTG\
  HTGGUGGVFFVFEWFEWEDXEDXECYDCYDBZD9YCBZDC_DD_DE`EF`\
  EGaEHaEIbFJbFKcFLcGMdGNdGOeGQeHRfHSfHTgHUgIVhIWhIX\
  iJYiJZjJ_jJ`kKakKblKclKclJblJalJalJ`lI_mI_mIZmIYmH\
  YmHXmHXmHWmGVmGVmGUmGTmFTmFSnFRnFRnEQnEPnEPnEOnDNn\
  DNnDMnDLnCLnCKnCJoCJoBIoB }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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