Fractal of the Day
by Jim Muth

Dunes ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- November 19, 2002   (Rating 4)

Fractal visionaries and enthusiasts:

An unexpected rush job has arrived, the customer has already called once, and is waiting impatiently, so I'll have to make today's discussion a short one.

I found today's scene near a larger midget in the Z^(sqrt(2))+C Mandeloid, located 23.78 levels up the logarithmic spiral.   The image vaguely resembles a sea of sand dunes with a mis-shapen midget at the center, perhaps located on the well-known fictional planet known as "Dune".   I gave the picture the simplest name possible -- "Dunes".

Being found and colored almost automatically, I could not rate the image above average, so I gave it the highest possible below-average rating -- a 4.

The render time of almost 19 minutes is slow for such a mediocre image.   The best way to see the scene is to download it from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://sdboyd.dyndns.org/~sdboyd/fotd/

The pleasant autumn weather gave the fractal cats a pleasant afternoon Monday.   The temperature of 46F 8C was chilly, but the duo managed to find enough sun to keep them comfortable despite a moderate breeze.

I'll be comfortable when I finish this work, so until next time, which will arrive in 24 hours, take care, and make no fractal mistakes.


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Dunes              { ; time=0:18:51.52--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=recip passes=1
  center-mag=-1.10193383668258500/+1.115688662390884\
  00/397152/1/130/2.10770308151086994e-009
  params=1.414213562373/0/23.78/0 float=y maxiter=16\
  000 inside=0 logmap=-480 periodicity=10
  colors=000rjUrjUrjUrjUrjUrjUsjUsjUsjUsiUsiUtiTshSq\
  hRphQohPmfOkdOibOg`OeZOcXNbWNaUN`SN_QNYOMXMMWKMVJM\
  UHMTFLSDLRBLQ9LP7LO6LSAJWEH_IFbMDfPCjTAmX8q`6ud4xg\
  3wf6ve8vdAucCubFtaHs`Js_Lr_OrZQqYSpXUpWXoVZoU`nTbn\
  TdmVflXhkZjj_lianhcpgdrfftehvdiwZgrUfmPeiKddFc_AbW\
  D`YGZZJY_LW`OUaRTbTRcWPdZOfaMgcKhfJiiHjkFknElqCmsB\
  niOl``jRmhIygJvfJteJrdJpcJmbJkaJi`Jg_JeZJbYJ`XJZWJ\
  XVJVVMUXOTZQS`SSbURdWQfYQh_PjbOldOnfNphMrjMtlLvnKx\
  pKyoJvoJsnJqnJnmJlmJilJglJdkJbkJ_jJYjJViJTiJQhJOhJ\
  LgJJgJGgJEfLHeMKdONcPQcRTbSWaUZ`Va`Xd_YgZ_jY`mYapW\
  cnUdmSelRfkPgjNiiMjhKkgIleHmdFocDpbCqaAr`8s_7tZ8s_\
  9s_Ar_Br_Cr_Dq`Eq`Fq`Gp`Hp`Ip`JoaKoaLoaMnaNnaNnaQl\
  cSkdUjfXigZhh`gjbfkeelgdnicolbpnarp`sr_teclUhdImX6\
  mPCmSImVNiXTe_YbaccdhZfnUisPkrRjqSjqTipUioWhoXhnYg\
  nZgm_glaflbfkcekdejfdigdihdhichjcglbfmbfnaeoaepafo\
  `go`go`ho_ho_io_io_io_io_ }

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 20.0 PAR-FORMULA FILE==================================


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