;     Date: Fri, 05 Mar 2004 12:33:48 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 05-03-04 (Cubic Mandelbrot [4])
;       Id: <1.5.4.16.20040305123639.22a72b02@pop.mindspring.com>
; ---------
; 
; FOTD -- March 05, 2004 (Rating 4)
; 
; Fractal visionaries and enthusiasts:
; 
; Today there is some good news and some bad news.  The good news 
; is that I will take steps to assure the unbroken continuity of 
; the daily FOTD's.  I will put several images and discussions 
; into a spare directory and hold them for use on the days when I 
; lack the time to find a new image and write a new discussion.  
; The bad news is that it will take several days to create the 
; backup supply of FOTD's.  As a result, today's FOTD will be the 
; last until March 9th.
; 
; On the Fractint list, Tony Hanmer wrote:
; 
; >In a formula such as MandelbrotMix4, are there enough midgets 
; >to make very tiny jumps from one to the next, such that each 
; >midget stays the same size and orientation but only its surroun-
; >ding detail changes slightly?  This would lead to animations 
; >with a stable midget, which would be amazing to see.
; 
; The answer is yes.  The number of midgets that could be created 
; with the MandelbtotMix4 formula is one of the higher infinities, 
; and animations such as you describe would be fascinating to 
; watch.  But making animations with the M-Mix4 formula raises 
; problems.  When the parameters are changed, the detail around 
; the midgets does indeed change.  And the size and orientation of 
; the midgets remains nearly unchanged.  But the midgets jump 
; around in a totally unpredictable manner, and are quickly lost 
; beyond the edges of the screen.  As a result, it becomes neces-
; sary to track the midgets down, and when they are finally found, 
; sometimes with much difficulty, it is nearly impossible to posi-
; tion them in exactly the same spot on the screen.  The resulting 
; animations are jerky and very unpleasant to watch.
; 
; Not much need be said about today's image.  It is a scene in a 
; remote valley in the northwest quadrant of the cubic Mandelbrot 
; set.  The image has been running for the last hour while I have 
; been busy at other tasks.  The rating of a 4 hardly makes the 
; render time of over 1-1/4 hours worth the effort.  The overall 
; value comes in at a nominal 5.
; 
; The image may be seen with much less effort by viewing it on 
; Paul's FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; But before going there, give Paul a chance to render and post 
; the image.
; 
; The light rain on Thursday morning ended before noon, leading to 
; a cloudy and mild afternoon.  Before venturing outdoors, the 
; dynamic duo checked the temperature and found it was 52F 11C.  
; They decided this was acceptable, and spent several hours in the 
; yard, nibbling the new grass.  This morning is starting with 
; similar weather.  We shall see what the duo decides.
; 
; My decision is to attack the pile of work still before me, so 
; until next time, which will not be until March 9th, take care, 
; enjoy fractals while you have them, and be certain you will 
; always have them.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Cubic_Mandelbrot { ; time=1:16:36.22--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotCube passes=1
  center-mag=-0.25362329215568170/+1.276686610281370\
  00/2.409843e+009/1/2.49999017136973389/7.615552049\
  72785837e-006 params=0/0/0/0 float=y maxiter=75000
  inside=0 logmap=-4088 periodicity=10
  colors=000TKUSKVRKWQKXPKYOKZNK_MK`LKaKKcKKeKKgKKjK\
  KmMKpOJpQIrWLtUOvWRxYUy_Xza_zcbzeezghzhkzgnzgqzcry\
  _sxWtwSuwOvwKwwGxwXywOzwFzw6zu8zs9wqAuoCsmDqkEoiFm\
  gFkeGicGgcHedHcfHaiI_kIYmJWoJWmJVkPWhTVcOU`MSZLPVK\
  JAJMAIOBHRBGTBISCJSDKSEMRFNRGORHQQIRQJSQKTQL`VJh_I\
  odHl_MiVRgRWcTU_VSYXQWZOX`MYbKZdI_fG`hEagIbfLceOdd\
  RecVfbYga`h`ci_gjZjkYmlYpmXnmWlmVjmUhmTfmSdmRbmQ`m\
  PZmOXmNVmMTmLRmKPmJNmIMmESmAXmDUmFRmHOmJLmLJmNGmPD\
  mRAmT8mQ7mO7mM6mK9mICmGFmEImCLmAOmERmIUmMXmQ_mUbmY\
  em`hmdkmhnmlqmptmtwmwzmvzmuzmtzmszmrzmqzmpzmozmnzm\
  mzmlzmkzmjzmizmhzmhzm`zmUzmNzmGzm9zmBzmDzmFzmHzmJz\
  mLzmNzmOzmRzmOzmMzmJzmHzmEzmCzmAzmCzmEzmGzmIzmKzmM\
  zmOzmPzmRzmTzmVzmXzmZzm`zmazmZzmXzmVzmTzmUzmUzmUzm\
  UzmUzmUzmUzmUzmUzmRzmNzmJzmEzmAzm6zm9zmCzmFzmIzmLz\
  mNzmQzmTzmWzmZzmazmczmXzmQzmJzmCzm6zm8zm9zmAzmCzmD\
  zmEzmGzmHzmIzmKzmLzmMzmMz }

frm:MandelbrotCube {; Jim Muth  real(c),imag(c)
z=p1, c=pixel+p2:
z=z*(sqr(z))+c,
|z| <= 16 }

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