Fractal visionaries and enthusiasts:

Since FL and I were away today, which is now yesterday, the FOTD is understandably late.  But here it is in all its un-glory.

Today we take one final look at the cubic minibrot of March 13, this time in the Rectangular orientation, which is determined by the imag(c) and imag(z) axes of the Julibrot.  And what a change we see.  The minibrot is a total wreck, well worth being rated a lowly 4.  All resemblance to any kind of minibrot is gone.  Instead, we have a narrow slit with its surroundings stretched into an S-shape.  The whole thing makes a rectangular mess, which justifies the name "Rectangular Mess" and also the abysmal rating.

The image is more an exercise in stretching and skewing than a piece of fractal art.  The skewing is greater than 89.999, while the Y axis is stretched over 400,000 times its normal length.  When the narrow slit at the center is un-stretched, it actually turns out to be a reasonable fractal, but I'll drop this feature where it stands and get on with a more artistic image for tomorrow, which is now actually today.

The calculation time of 1-1/4 minutes is more than the image is worth.  I strongly recommend visiting one of the FOTD web sites and saving this time.

More unseasonably warm late winter weather prevailed here at Fractal Central today.  The proponents of global warming put on their short-shorts and cried "I told you so" as the temperature reached 75F 24C under cloudless late-winter skies and a warm sun.

While the humans were away, the fractal cats, needing neither heat nor a cool place, spent the afternoon curled on the couch.  The next FOTD will be posted before too much time has passed.  Until this intentionally vague moment arrives, take care, and the present unusually warm conditions in eastern North America indicate nothing about the existence of global warming.  Despite my conservative tendencies however, I am convinced it actually does exist.

Jim Muth
jimmuth@earthlink.net


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

Rectangular_Mess   { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip
  center-mag=-0.00000000005146396/-0.000052031580625\
  10/1.686185e+008/4.6e-005/-89.9996703841590033/89.\
  9997085166255886 params=3/30/90/0/0/90/-0.87249496\
  34777424/29.73584375063138/0/0 float=y maxiter=1750
  inside=0 logmap=77 periodicity=6
  colors=00000_00Z00Y00X00W00V00U00T00S00R00Q00Q10P2\
  0O30N40M50L60K70J80J90GA0DB0BC08D16E23F31H43J44L45\
  N56P57R58T690Kz0Fz0Az00y00x00w00v00u00t00s00r00q00\
  p00o00n00m00l00k00j00i00h00g00f00e00d00c00b00a00`0\
  0_00Z00Y00X00W00V00U00T00S10R20Q30P40O50N60M70L80K\
  90LA0MB0NC0OD1PE2QF3RG4SH5TI6UJ7VK8WL9XMAYNC_OE`PF\
  aQHbRJcSLeTMfUOgVQhWSiWTjUYWSbHRf2Tg7UhCViHWiMXjRZ\
  kW_l``leamjbnocnslTSt70s83s85r87r89r8Bq8Dq8Fp8Ip8K\
  p8Mo8Oo8Qn8Sn8Un8WrOPvcJyrDslHnfKi`NdVR_QUVKXQE`L8\
  cG3fL4cQ5aU6_Z7Yb7Wg8Tl9RpAPuBTyBXxA`wAdv9hvAmuKrt\
  PwsUxsXyr6Cq6Bp5Ap59o48n47m36m36o2Ap49p69p89qA8rC8\
  sE8tG7uI7vK7wM6xP6yS6zV6zY8za9zeAziCzmDzrEwvFrzKoy\
  MlwOiuQfsScrUcqWcpYco_cnaclcckecjgckiWgmYjo_hq`hsb\
  fuchwaey_ezYczWbzUazSazKgzOhzRizUjzYxz`yzczzgzzjzz\
  mzzrzzttzuvzvwzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:JulibrotMulti  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2),
  bb=imag(p1)-0.0000000000000000001,
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=z*z*fn1(z^(aa)+bb)+c
  |z|< 100000000 }

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