;     Date: Sat, 24 Sep 2005 10:13:13 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 24-09-05 (Square Root of 2-2 [7])
;       Id: <1.5.4.16.20050924101543.29efbbcc@pop.mindspring.com>
; ---------
; 
; FOTD -- September 24, 2005 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Things are still a little busier than I would like here at 
; Fractal Central today, so there will be no time for a long 
; rambling discussion.
; 
; The parent fractal of today's image, which is based on the 
; square root of 2, is sliced 1234 levels down the complex log 
; spiral.  At this lowly level, the parent fractal is little more 
; than a lopsided circle with hints of tiny buds, but as today's 
; FOTD shows, it holds no shortage of midgets.
; 
; The rather striking scene is located in some explosive chaos on 
; the western shore of the main and only bay of its parent.
; 
; I am losing track of the number of consecutive 7-rated images we 
; have had.  I think today's is number 8 in a row.
; 
; The name "Square Root of 2-2" indicates that the image is the 
; second in the series of images investigating fractals generated 
; with the expression Z^(sqrt(2))+C.  The series will continue 
; until I grow bored.
; 
; The render time of 4+ minutes is within reason, but those who 
; are having an unreasonably impatient day may download the 
; finished GIF image from the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; In a recent letter to the list, someone wondered where I get the 
; color maps I use in the FOTD fractals.  The answer is, anywhere 
; I can find them.  Sometimes the program produces a satisfactory 
; color map with a strike of the 'enter' key, and all I need to do 
; is tweak a few troublesome registers.  At the other extreme, I 
; occasionally create the entire map one register at a time, which 
; is a slow process.  Occasionally I run the FOTD images through 
; an image-processing program such as Photoshop, though I never 
; make changes that cannot be entered into a Fractint parameter 
; file.  And finally, though my humility prevents me from admit-
; ting it, my profession does require at least a bit of artistic 
; sensitivity.  Some of it unavoidably rubs off on the FOTD 
; fractals.
; 
; With a high temperature of 93F 34C and increased humidity here 
; at Fractal Central on Friday, it was a bit too oppressive for 
; cat comfort.  But the showers never arrived, and the duo made 
; the best of the marginal conditions, lurking for several hours 
; in the holly thicket.  To ease their displeasure, I gave them a 
; bit of extra tuna in the evening.  Today is starting with 
; clouds and cooler temperatures.  I see no reason why the duo 
; should complain.
; 
; The next FOTD will appear, as it almost always does, in 24 
; hours.  Until then, take care, and be peaceful.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Square_Root_of_2-2 { ; time=0:04:17.49--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.40565767597375290/+0.069646715730597\
  94/5129615/1/62.5/-6.2025166898405093e-008
  params=1.414213562373/0/-1234/0 float=y
  maxiter=3200 inside=0 periodicity=10
  colors=000xFvwFuvFuuEtsEtrEsqDspDroDrkEphFneGmbHkZ\
  IiWJhTKfQLdNMcJNaGO_DPZAQX7RW9TUBVTDXSFZRG_PIaOKcN\
  MeMOgLPhJRjITlHVnGWoFUnGSnGQmGOmHMlHLlHJkIHkIFjIDj\
  JCiJAiJ8hK6hK4gK3gK6dJ8bIA`HCZGFWFHUEJSELQDNOCQLBS\
  JAUH9WF8YD8`GCbJFeLIgOMjQPlTSoVWqYZs_a2mn4ff5_Z6TS\
  7UR8VQ9VP9WOAWNBXNCXMCYLDZKEZJF_JF_IG`HH`GIaFIaFGU\
  MENTCG_A9f92l81g71b61Y51T41O30J20E109113004r43d32R\
  21D105ID4GC4FB3DA3C93B8297286165154143022nAXlAXjAU\
  e9R`8NV7KQ6HL4DF3AA2651307006005005004004003002002\
  00100100005av4Yp4Uj3Qd3MZ2JT2FN1BH17B035jXwm0wuzep\
  ubkq_glXbhUZcRU_ORVLNRIJMFFICBD9796343RcKO_IMWGKSF\
  IPDGLCEIACG9AD78A6684453221LTsJRoIPkGNgFLdEJ`CHXBF\
  T9DQ8BM79I57E45B2371135mq4im4ei3be3Za3WY2SU2PR2LN1\
  HJ1EF1AB077033N9yI7lD5`93O41CERfCObBMZAKW9IS8FP7DL\
  5BH49E36A247123ImGEcCAU97K63A3c3M_2JW2HS2FO1DK1BG1\
  8C068044020jq0NRr0ol0ig0d }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(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=========================================
; 
;