[Fractint] FOTD 11-07-07 (A Jolly Scene [5])

11 Jul 2007

      FOTD -- July 11, 2007 (Rating 5)

Fractal visionaries and enthusiasts:

I must once again apologize for the lateness of the FOTD.  My 
excuse is that the weather was very hot on Tuesday and I felt 
lazy.  It's really no excuse, but it is the truth.

The image that I found when I finally mustered the energy to 
search is a scene in a valley of the Z^sqrt(2)+C Mandeloid as it 
appears a meager 1/2 level up the complex logarithmic hyper-
spiral.  This formula is one of my favorites.  It is not as rich 
as its square, the classic Mandelbrot set, but there is only one 
fractal that can be generated by the formula Z^2+C, while the 
formula Z^sqrt(2)+C creates nearly an infinity of fractals, all 
different yet all strangely the same.

I'll not try to describe the parent fractal, since it is so 
easily generated, but the image I found within it rather reminds 
me of a gala event, which inspired the name "A Jolly Scene".  
The rating of an average 5 says very little about the image.  I 
did not put enough work into it to rate it any higher, and this 
type of image has been posted as the FOTD so many times that it 
has become hackneyed.

The parameter file takes 9-1/2 minutes to run on the fast 
computer.  On the slow machine it would take 45 minutes to 
finish.  For convenience the parameter file has been calculated 
and posted on the FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

With a temperature of 97F 36C and oppressive humidity here at 
Fractal Central, Tuesday was a day to be ignored.  And indeed 
the fractal cats did ignore it.  They concerned themselves with 
the chipmunks (I think there are two of them) that have been 
running around in the back yard grass.

I concerned myself with work first and fractals second.  The 
result speaks for itself in the parameter file.  As always, the 
next in the series of FOTD fractals will appear in 24 hours.  
Until then, take care, and wait with bated but not abated breath.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

A_Jolly_Scene      { ; time=0:09:29.97-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.11710695179565920/+1.315337975141092\
  00/6925.211/1/45/9.0035527644527491e-011
  params=1.4142/0/0.5/0 float=y maxiter=8000
  inside=0 logmap=549 periodicity=10
  colors=000S8CQ9DOAELBFJCGGCHEDICEJ9FK7GL5GM7JO8MP9\
  PRASSBVUDYVE`XFbYGe_Hh`TkbYnccrecufewhbxi_ujXqjXnj\
  WjjVfjXcjY_j_Wk`TkaPkcLkdIkfEkgAkj8oh7kf6gd6cb5_`4\
  W_4SY3OW2KU2GS1CR19Q1AP1AP1AO1AN1BN1BM1BL1BL1BK1CJ\
  1CJ1CI1CI1CH1DG1DG1DF1DE1EE1ED1EC1EC1EB1FA1FA1F91F\
  91FB3GD5HE6IG8JH9KJBLKCMMENNFOPHPQIQSKRTLSVNTWOUYQ\
  VZRW`TX_EIaUXcijexxgtthqqjnmkkjliilghlfgldglcflael\
  `dlZdlYclWblValTalS`mQ_mPZmNZmMYmKXmJWmHWmGVmEUmDT\
  mBTmASm8Rq2Pm7RiBTeGVaKXYOZUT`RXbNadJefFihBnj7rl4v\
  n6to8soAroCpoEopGnpIlpKkpMjqOhqQgqSfqUdrWcrYbr_`ra\
  _scZteXwggzi`zkTwmStnRtlQskQsjQsiQshQsgQsfQseQsdQs\
  cPsbPsaPs`PsZPsYPsXPsWPsVPsUOsTOsSOsROtQOuPOvOOwNO\
  xOPyMQzLRzJRzISzHTzFUzEVzDWzBXzAYz9ZzA_zC`zEazGbzI\
  czKdzMezOfzQgzShzUizWjzYkz_lzamzcmzemzgmzimzkmzmmz\
  mmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmm\
  zmmzmmzmmzmmzmmzmmzmmzmmz }

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=========================================