;     Date: Wed, 07 Jul 2004 09:48:03 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 07-07-04 (The Cube-Root of 2 [6])
;       Id: <1.5.4.16.20040707095213.0d2fe344@pop.mindspring.com>
; ---------
; 
; FOTD -- July 07, 2004 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is named "The Cube-Root of 2".  The reason is 
; simple -- the exponent of Z is 1.26, which is approximately the 
; cube root of 2.  I have complicated things a bit by drawing the 
; fractal as it exists 70 levels down the hyper-something created 
; by multi-valued complex-logarithms.  (This something might or 
; might not be an actual spiral.)
; 
; The parent fractal is the nearly shapeless thing that would be 
; expected to be created by exponents in this low range.  Its most 
; interesting part lies on its west border, where a nest of 
; filaments appear to be trying to form a theme.  Today's image 
; lies near a node in this nest of loosely-organized filaments.
; 
; Filaments.  This is one thing that fractals in this range have 
; an abundance of.  They are easy sources of midgets, but the mid-
; gets have a tendency to all look the same -- like spiny undersea 
; creatures.  Today's midget, if that is what a theoretical but 
; invisible object at the center of the image can be called, is 
; surrounded by filaments different enough to almost create a 
; theme pattern.  The effect is striking enough to make the image 
; worthy of being declared FOTD for July 7.
; 
; The rating of a 6 and render time of four minutes (on my tired 
; old fractal machine) combine into an overall value of 146.  It 
; is up to the individual fractalist to decide whether to run the 
; attached parameter file and wait a couple minutes or to download 
; the completed image from the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; Monday was 95F 35C hot here at Fractal Central, until a brief 
; heavy thunder-squall cooled things notably at 6pm.  Tuesday was 
; sunny and cooler, but the strong sun and high temperature of 88F 
; 31C still made things uncomfortably warm.  The cats made the 
; best of the conditions.  Today is starting sunny and warmer.  It 
; looks like another day of overheated cats.
; 
; For me, it looks like a lot of work, so my intuition tells me 
; it's time to get started working.  Until next FOTD in a day or a 
; few, take care, and be fair.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

The_Cube-Root_of_2 { ; time=0:04:07.00--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1 center-mag=-1.46\
  8655458749068/+0.9535213132151095/2446642/1/75/1.16\
  947064154049318e-005 params=1.26/0/-70/100 float=y
  maxiter=1200 inside=0 periodicity=10
  colors=000nNrf_qcXqaVqZSqWPqTMqRKqOHqLEqKAsJCqJEoJ\
  GnJIlIKkIMiIOhIQfISdHUcHWaHY`H_Z7fPHaYRYe`UmgOwiQu\
  jSskUqlWomYnn_loajpchqefrgesictkaum_voYwqXxpWxpWxo\
  WxoWynVynVynVymVymVzlUzlUzkUzkUzkUxjSvjQtiOriNphLn\
  hJmgIkgGifEgfCeeBce9ad7`d6ab7aa8a`8a_9aZAaYAaWBaVB\
  aUCbTDbSDbREbPEbOFbNGbMGbLHbKH`MGZNFYOFWPEUQETRDRS\
  DQTCOUCMVBLXBJYAHZAG_9E`9Da8Bb89c78d76e64h35f65e86\
  dA6bD7aF7`H8_K8AY8A_9Aa9AcAAeAAgBAiBAkBAmCAoCBqDCs\
  DDuEEwEFvEGzCFfBHQDKSFNUHQWJTYLWaOZeQaiTdmVgqYjs`m\
  uboweqxhszkuzmwzpxzryztzznqwnpwnovnnuomuoltoksojso\
  irphqpgqpfppeorcqpdoodnndmmdkldjkdijdgidfheegecfeb\
  eeade_ceZbeYcdVaeX`eZ_e_ZfaYfbWfdVgfUggTgiSgjQhlPh\
  nOhoNiqMirKitJjvIjwHjy5gzGjzRmzapzYjtUdoQZjMTeHL`I\
  N`JP`JR`KT`KV`LX`LY`M_`Ma`Nc`Ne`Og`Oi`Pj`Pl`Qn`Qp`\
  Rr`Rt`Sv`Sw`LvVEuQ7tK1sF4qI7oKAmMCkOFjQIhTLfVNdXQb\
  ZTa`W_cYYe`WgcUifTkhRnkPp }

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==================================
; 
;