Fractal visionaries and enthusiasts: 

Today's image is another trip into the Z^(2.003)+C Mandeloid.  Or perhaps it would be more proper to say one of the Z^(2.003)+C Mandeloids, for like so many other things in the world of fractals, there are an infinity of Z^(2.003)+C Mandeloids.

In today's case the parent Mandeloid is the one that appears when Z^(2.003)+C is iterated 0.00941066196782 levels down the hyperladder with no function applied.  This parent fractal is much like the 'normal' one, but the two branches of the main spike are spread a bit wider, and the large minibrot is broken into two totally separate and unusually distorted ones.  Today's scene is located in an un-named valley of the northern minibrot.

The point at a mere 0.00941066196782 levels down the hyperladder might appear unusually fussy, but it was carefully chosen.  This is the point where the parent fractal has perfect X-axis symmetry.  The symmetry probably has no special significance, but being of an artistic nature, I prefer the symmetry.

Surprisingly, no open rectangles lie in this area, (at least, I have not yet found any), but there are geometric open holes aplenty.  Today's little minibrot lies in the middle of a field of these holes.

The rating of an 8 indicates an above-average image that might have been better if I had put a little more time into the coloring.  The name "Broken Rectangles" refers to the twisted quadrilaterals that might have once been rectangles.  The calculation time of 2-3/4 minutes is about average, and should cause little restlessness.

A mix of sun and clouds, and a temperature of 82F 28C made today quite pleasant here at Fractal Central.  The fractal cats were puzzled about being locked out of their favorite spare room, where a new window was being installed.  The next FOTD will be posted in due time.  Until whenever, take care, and do we really believe that something as complicated as the DNA molecule could have evolved spontaneously and totally by accident in 13-billion years? . . . Or do we really believe that some super being intentionally designed it in some multiverse laboratory?

Jim Muth
jimmuth@earthlink.net


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

Broken_Rectangles  { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-1.750919845393386/+0.0200660824764789/\
  1.419367e+008/1/-107.5/0 params=2.003/0/-0.0094106\
  6196782/0 float=y maxiter=2500 inside=0
  logmap=291 periodicity=6
  colors=000YdYXbXU_VSXTQSRNNPLJNJELB9J04Hi2Bd1C_1DV\
  1EQ0EL0FG0Gp5jk4fg4cc3`_3YW2VS2SO1PK1MG0JSyIQsHPmH\
  NhHMbHKXHJSGHMGGGGEBGD5GVFuRClN9dJ6WF3OgGJbDIYBIU9\
  HP6HL4GG2GoM52aj7JV6Dg7Ce7Bc8Aa89_98Y97W96UA5SA4QB\
  3OB2MC1KC0IVzRSqPPhNM_MKRKHIJE9HF_IESHDLHDEGC7zrgz\
  XMzmjvfbn`VgVN`OFUI7NiKRkHDgFEdDEaCEYAFV9F3Ob3VY3a\
  T3gO8ePCcQGbRL`RP_STYTXXTaVUeTViSWnQWrPXvNYzMYbUQG\
  `IIaMKaQLaTNaXOa_SZkT_hT_eT_bT__U`XU`UU`SU`PU`MVaJ\
  VaGVaDVnAVe8b`A__CW_ERZFQZHPYJOXLNXMMWOLWQKVSJUTIU\
  VHTXGTYIVXKXWMZWO_VQaURcUTeTVfSXhSZjR`lQamQXcWTU`Q\
  SbORdMPeKOgIMiGLjFEjzo6XRP43g85dC6bGE_G0Il9WRATVBR\
  ZCPbDMeEKiFImGFqHDtIBoGCkECE2IgDDcBD_9EW8ES6FO4FK3\
  GG1GESrDEZAzqKtmUnjchfmccuY_zSXzMTzHUzBUz5UzbUzZUz\
  WUzTUzQUzMUzJUzGUzDUz9Uz6Uz3UzcUzYczSczUczUczUczUc\
  zcczcczczzczzczzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-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=========================================