Fractal visionaries and enthusiasts:  

Today's image is a scene in the parent fractal that results when the formula Z^(1.3)+C is iterated one small step up the hyperladder with no function applied.  This parent consists of a large bay shaped somewhat like a half-moon, with a few minor bays around the edges and a field of cross-shaped filaments extending to the south.  Today's scene lies near the southern edge of this field of filaments.

The effect of an island in the middle of nowhere was achieved by rendering the image with the logmap set too high and coloring the very large area covered by the 001 register total black.  This took a little extra work, which raised the art rating to a 7.  The math rating scores only a 6.  I can see nothing very new or unique in the math aspect.

The name "The Long Arm of Math" refers to the unusually long main filament extending northeast from the oddly shaped order 1.3 minibrot at the center.

The image calculates in 55 seconds, which will pass unbelievably fast.  Those who still cannot believe may find calculation relief on the FOTD web sites.

Clouds spoiled today here at Fractal Central, though the mild temperature of 50F +10C prevented a total loss.  The new fractal cat Jasmine remained confined to her room with a collar around her neck.  The old fractal cat Nicholas wondered what was wrong with her.  The humans simply took it as easy as possible.

The next FOTD will be posted in the not-too-distant future.  Until whenever, take care, and our president says this is the 21st century and the world has moved beyond the days when one nation can impose its will on another nation by force.  So do as the U.S. says, not as it does.

Jim Muth
jimmuth@earthlink.net


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

TheLongArm_of_Math { ; time=0:00:55.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.5516410406928077/-1.356369190773757/\
  1.182505e+008/1/150/0 params=1.3/0/1/0 float=y
  maxiter=32000 inside=255 logmap=110 periodicity=6
  colors=00000014M25O38Q4IS5MU6PWCZYXgQpsKloJilJfiIb\
  eI_bHX_HTXGQTGNQFJNFGKEDGE9DD6AD37D8BCCECGHCKLBOOB\
  SRBXT8WUBWVEVWGVXJVYMUZOU_RSUWU_TVdRWiPXoNYtLSyNZy\
  JdyGjyDhuBfrAdo9bk8`h7Ze6`f8af9bfAdgBegCfgDghEihFj\
  hGkiHliIniJojKpjLslNqjMphLofKmdJlbIk`HiZHhXGgVFeTE\
  dRDcPCbNC_OEXOGUPIRPKOQMLQOIRQFRSCSU9SWCTVETVGTVIT\
  VLTVNTVPTVRUVTUVWUVYUV_UVaUVcUVcTWcSXcRXcQYcPYcPZc\
  OZcN_cM_cL_cLYcLWeNUgPSiRQkTOmVMnWKlWIjWGzUEzSFzQF\
  zOFzMGzKGzHGzEHzBHz8Hz5Fz6Hz7Iz8JzALzCMzDNzEPzGQzH\
  RzJTzKUzLPzMVzM`zNfuNlwOryNyxOwwPuvQsvRruSptTntUms\
  VkrWirWirWht`cud_whVxlRvjTuiUthVsgWqfXpeYodZnc`mba\
  kabj`ci_mhZmgYmbamYezUizPmzKqzGtzDmzBmz9mz7mz4mz5m\
  z6mz6mz7mz8mz8mz9mz9mzAmzBmzBmzCzzCzzKzzRziYzadzUn\
  zSkzNhzIezDbz8_z3Yz4Wz5Uz6Sz7Qz8Oz9MzAKzBIzCGzDDzB\
  FzEzzGzzIzzLzzNzzPzzSzzUzzWzzPzzYzzdzzezzfzzgzzhzz\
  hzzfzzdzzbzz`zzZzzXzzVzzz }

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=========================================