[Fractint] FOTD 13-01-07 (Bare Tree [8])

12 Jan 2007

      FOTD -- January 13, 2006 (Rating 8)

Fractal visionaries and enthusiasts:

Today's image shows a virtual tree I stumbled upon in the 
fractal that results when 0.5 part of Z^(-4.5) is subtracted 
from 5 parts of Z^(-1.4) and (1/C) is added.

The parent fractal resembles a Mandelbrot set that is rotated 
about 180 degrees and located a bit too close to the bailout 
radius.  Today's image is found on the southwest shoreline of 
the main bay, which is on the west side of the parent fractal.

The resemblance to a tree in winter, with the branches covered 
in ice, is so striking that no other name but "Bare Tree" would 
be satisfactory.  All in all, the image is worth a rating of a 
lofty 8, at least in my opinion.

One of the best features of the image is its super speed.  The 
calculation finishes in a matter of 34 seconds even on my slow 
old 200mhz machine.  And the image is or soon will be posted on 
the FOTD web site at:

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

Friday began with light rain here at Fractal Central.  By 9am 
the rain ended, leading to a mostly cloudy day with a tempera-
ture of 46F 8C.  For some reason the fractal cats seemed annoyed 
most of the day, and spent a good part of the time sulking.  
Their good spirits didn't return until they had finished their 
evening treats.

My day was totally uneventful.  What more could one ask for?  
The next FOTD will appear in 24 hours.  Until then, take care, 
and don't get haunted by the spirit of a lost fractal.

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

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

Bare_Tree          { ; time=0:00:34.00--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip
  center-mag=-2.88099/-0.760467/31.83/1/65/3.435e-013
  params=5/-1.4/0.5/-4.5/0/0 float=y maxiter=128
  colors=000_ez0EP0EP0EP0EP0EP0EP0000EP0000CP0000CP1\
  004CP911CCSECSHCSKCSP9SS9SU9SYCS_CSbESgJSjMSmMSpPS\
  rPSuRSxWUxXUz_YzaYzdYzg_zj_zm_zpbzrbzuezuezuezugzu\
  gzxgzzjzzjzzjzzmzzmzzpzzpzzpzzrzzrzzrzzuzzuzzuYz0_\
  z1_z1bz1bz4ez4ez4gz6gz6jz6jz9mz9mz9pzCpzCpzCrzErzE\
  uzEuzHxxHxuHzrKzpKzmKzjMzgMzeMzbPz_PzYPzUSzSSzPSzM\
  UzKUzHUzEYzCYz9Yz6_z4_z1_z0_z0bz0bz0bz0bz0bz0bu0br\
  0bm0bj0be0eb0eY0eU0eP0eM0eH0eE0e90e60e10e00g00g00g\
  00g00g00g00g00g00g00g00g00m00p10uE0xU0zg6zuEzzMzzK\
  zzHzzHzzEzxEzuCzu9zr9zp6xp6xm4uj1uj1rg0re0pe0mb0m_\
  0j_0jY0gU0gU0eS0bP0bM0_M0_K0YH0YH0UE0SC0SC0P90P60M\
  60M40K10H10H00E00E00C00C00900900600600600600610610\
  4404404604904904C04C01E01M0EE01H01H01K01zzzzzzzzzz\
  xzzuzzrxzpxzmuzjrzjpzgmzemzbjz_gzYezUbxS_uS_rPYpMU\
  mKSjHPjEPgCMe9Kb9H_6EY4CU1CS09P06M04K010z00x00u00r\
  00p00m00j00e00b00_00Y00U0 periodicity=10 }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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