Fractal visionaries and enthusiasts:

Once today's image is viewed, the reason for the name "Dancing Lepidoptera" will be obvious.  The rating of a 7 is right on the mark.  And btw, a lepidoptera is a butterfly.

The scene is located in the remains of the northern branch of Seahorse Valley of the decaying large minibrot on the main stem of the parent fractal.  This parent is a Mandelbrot set on its surface, but in its depths, it becomes an order-7 Mandeloid.

I particularly enjoy the seven totally-separated butterfly-like elements surrounding the central near-perfect order-7 minibrot.

The calculation time of 8 seconds is no mistake.  The image actually does finish in this brief time span.  Of course, setting up this letter as a parameter file for calculation is a minor hassle.

Thursday was a most unpleasant day here at Fractal Central.  The day began with fog.  By 10am a chilly rain had set in, which continued off and on, mostly on, through the day, while the temperature hovered around 48F 9C.  The fractal cats avoided the unpleasantness by spending the day near the heat and eating an extra treat of tuna and cheddar.

Except for the routine things that pass every day without notice, my day was uneventful.  FL kept busy writing a word-search puzzle.  The next FOTD will be posted in 24 hours.  Until then, take care, and bad things happen to good people for the same reason that good things happen to bad people.

Jim Muth
jamth@mindspring.com


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

DancingLepidoptera { ; time=0:00:08.01-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-1.763845130568216/+0.00640222373378594\
  /2.281007e+010/1/-75/0 params=7/1000000/0/0 float=y
  maxiter=400 inside=0 logmap=12 periodicity=6
  colors=0001Ic5Jc9KcDLcHMcLNcROcWPc_QcbRceScgTcgUcg\
  TchSchRchQcAAA000KHKTLNXPQ_TScXUf`XjdZmh`qlctpeztg\
  zrcup_znWtlSzjOzhKzfGqdCzeBzfAzg9hh8zi7zj6zj5_k4zl\
  3Vm2Tn1Ro0Po0Qi4Rd8SZCTUGUOKUJOIwqMhsPVuTGwW2x_5ub\
  8seBqhDolGmoJkrMiuOgoPijQjeRk`SmWTnRUoMVqHWrCXsEan\
  GejIieJmaMl_OlYQlXSkVVkUXkSZjR`jPcjNeiMgiKiiJlhHnh\
  GphErhDhdKZ`RQYYGUd7RjDTeIUaNVYSWUXYPaZLf_Hk`Di_Gg\
  _JeZMcZOaYR`YUZXXXXZVXaTWdSWgQViOVlMUoKUrJUtK`uLfu\
  MmuMsuLoqKlmKiiJffJcbI`ZHXVHUSGROGOKFLGFIDHGEIFFJE\
  FKCGMBHNAHO8IP7JR6JS4KT3LU2LV9QWGUXMYYTaZ_e_ei`lma\
  sqbyudureqpfnnhjligijcgl`emXcnU`pQZqNXrJVsGTtKStOR\
  tSRuWQu_QubPufPvjOvnOvrNvuNsrPppRmnTklUhiWegYbe_`c\
  `_bb_bdZafZahZaiY`kY`mX_oX_pX_rWZtWZvWZwXYuYYsZYr_\
  Xp`XoaXmbWlcWjdWieVgfVfgVdhUciUaiU`EEUBUX8hZEdXJaV\
  OYTTVRYRPcONhKLmHJrDHwAGtCFrDFoEFmFFjHFhIFfJFcKEaL\
  EZNEXOE6KY6MY6NY6PY6QY6SY }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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