Fractal fans:

Here's the formula and par file for an eye-catching fractal. Notice the simplicity of the formula, and especially the ridiculously low power of Z. Take a few minutes to run the par file to see a sample of what can be done with well-chosen but unlikely parameters used in simple formulas.

I'll try to post a different image every day, until I make my point that complicated formulas are not necessary for new and unusual fractals.

My point is not so much that complex formulas are wrong, but rather that there is infinitely much to yet be found in simple formulas such as the one attached below.

Jim Muth
jamth@mindspring.com

START FORMULA===============================

Tree_of_the_Infini { ; time=0:00:29.11-SF5 on P4-2000
  reset=1950 type=formula formulafile=basicer.frm
  formulaname=snaketree passes=t periodicity=10
  center-mag=1.76988/0/2.894847/1/90/3.88 float=y
  maxiter=500 inside=0 logmap=yes
  colors=000FDDGEEHFFIGGKIHLJIMKJNLKOMLPNMRPNSQOTRPU\
  SQVTQWURXVSZXT_YU`ZVa_Wb`XcaYecZfd_KKOhfaKKPfc`FAK\
  da_FAKbZZFAK`XXFAKZUWFAK000FAK000FAK000FAK000FAL00\
  0FAM000FAM000FAL000EAL000E8J000EBJ000EDH000DBHDCGD\
  IFCKFCLFCMFBNFBPGAQGASGAUG9XH9ZH9`IAbKBcLBdMCeNCfO\
  DgPDgQEgREgSFgTFgUGgVHgWHgXIhYIhZJh_Jh`KhaKhbLmcLm\
  dMmeMmfNmgOmhOmiPmjPmkQmlQmmRmnRmoSmpSmqTmrTzzWzzY\
  zz_zzazzczzczzbzzbzzazzazz`zz`zz_zz_zzZzzZzzZzzYzz\
  YzzXzzXzzWzzWzzVzzVzzUzzUzzUzzTzzTzzSzzSzzRzzRzzQz\
  zQzzPzzPzzOzzOzzOzzNzzNzzMzzMzzLzzLzzKzzKzzJzzJzzJ\
  zzKzzKzzLzzLzzMzzMzzNzzNzzNzzOzzOzzPzzPzzQzzQzzQzz\
  RzzRzzSzzSzzTzzTzzTzzUzzUzzVzzVzzWzzWzzWzzYzzZzz_z\
  z`zzazzbzzdzzezzfzzgzzhzzizzjzzkzzlzzmzznzzozzqzzr\
  zzszztzzuzzvzzwzzxzzxzzxzzxzzxzzxzzxzzxzzxzzxzbxzz\
  xzzxzzxzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzz5z\
  z6zz7zz8zzAzzBzzCzzDzzEzz }

frm:SnakeTree {; Jim Muth
  z=pixel:
    z=(-z)^1.095+3.4
      |z| <= 100 }

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