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June 26, 2010: A Near Oblate Set June 25
June 27 2010 FOTD Home

near oblate

Fractal visionaries and enthusiasts:

Today's image lies near a small minibrot on the main stem of the Mandelbrot set, quite near the main body of the set itself.  It is neither a Mandelbrot nor a Julia fractal.  It is oriented at an angle 16 degrees from the Oblate plane of the Julibrot.

The orientation explains the name "A Near-Oblate Set".  Since I put almost no effort into the image, I gave it no rating.  And the calculation time of 13 minutes is far too slow for the unimpressive result.

Lots of sun, reasonable humidity and a temperature of 86F 30C kept the fractal cats of Fractal Central subdued on Friday.  The lazy conditions kept me subdued also, while FL still worried about the lack of rain on her garden.  The next FOTD will be posted in 24 hours.  Until then, take care, and where are the multiple universes?

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

A_Near_Oblate_Set  { ; time=0:13:01.86-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1 symmetry=none
  center-mag=+0.64407582162/-0.00000162218/704047.3/\
  0.183/180 params=0/0/90/16/-1.4013068817/0/0/0/2/0
  float=y maxiter=10000 inside=0 logmap=534
  colors=000L9qF6s93uC4nE5hH6bJ7XM8RO9LQAFODGMGHLJIJ\
  LJIOJGRKFULDWMCZNAaN9dO7fP6iQ4lR3nR2RL13F24I25K26M\
  26O27R28T28V29X2A_2Aa2Bc2Ce2Cg4Z`5uV8sWBrWEqWGpWJo\
  XMnXOmXRlXUkXXjYZiYahYdgYffYdfWbfU`fSZfQXfOVfMTfKR\
  fIPfGOfFPWOPMXQPWRSWSVVTYVU`UUcUVfUWiTXlTYoSZrSZuS\
  YtOYsLXsIXrFXrCZtD`vEbwFdyGezGcyJaxL`wNZvQYvSWuUVt\
  XTsZSs`QrcPqeNpgMpiPqhSqgVrfXre_rebsddscgsbjtamtao\
  t`ru_uuZwuZpgYjUXdGWZ3V_7X_BY`FZ`I_aMaaQbbUcbXdc`f\
  cdgdhhdkicgjbckb_laWm`Sn`Oo_KpZGqZCqVGmSJjPMgLPdIS\
  aFVZBYW8`T5cQ2fN1_I1TD1N91G41A05E38H5BL7EOAISCLVEO\
  ZHRaJUdLWZHYUE_OBaJ7cD4d81eB5eD8eGBeIEeLHeNLeQOeSR\
  fVUfXXf_`facfdfffifilfkoghkhehhcdi`aiYZjWVjTSkQOkO\
  LlLIlIEmGBmD7nA4n81i84e86a88Y8AUmDQmFMmHImJEmMAmO6\
  mQ2mSBmQKmPTmN`mMWmQSmTOmWJm_zmbzmezmhzmezmbzm`zmY\
  zmVzmTzmQzmOzmLzmIzmGzmDzmAgz8jz5lz3IzMDzK8zJ3zI6z\
  J8zJBzJDzJGzJIzKLzKNzKPzK }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(p5)+c
  |z|<=9 }

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