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November 13, 2010: Juliptic Minibrot Nov. 12 Nov. 14 2010 FOTD Home
 Rating 6

juliptic

Fractal visionaries and enthusiasts:

As the name of today's image -- "Juliptic Minibrot" -- implies, today's image lies in an orientation half way between the Elliptic and Julia directions.  The center of the slice is the origin of the Julibrot.

The image lies just east of a larger minibrot on a kind of main spike of the parent fractal, which is shaped the same as the minibrot in today's image.

Quite a bit of trickery was necessary to bring today's image to a reasonable proportion.  It was necessary to expand the X-axis direction to nearly ten-thousand times its normal size.  The unexpanded view of the same area is only a series of vertical stripes.

A minor coloring trick -- rendering the scene with the outside set to 'tdis' -- brought just enough extra oomph to the image to qualify it as FOTD for the day.

The rating of a 6 is based more on mathematical curiosity than artistic value.

The calculation time of 5-1/2 minutes is slow for an image that rates only a 6.  I recommend viewing the image in finished form on the FOTD web site at:

       http://www.Nahee.com/FOTD/

Hopefully Paul is well enough to bring the site is up to date.  The last time I checked, the last posted FOTD was November 2.

Thursday began with fog here at Fractal Central, but by 9am the sun broke through, and for the rest of the day total sun prevailed, with a temperature of 57F 14C.  The fractal cats made the most of the sun, which at its low angle, comes in their window quite strongly.  My day was occupied with wrapping up the week's work.  The next FOTD is due in 24 hours, but if it is late, an antiquing trip most likely arose on Saturday.  Until whenever, take care, and be ready to sacrifice.

Jim Muth
jamth@mindspring.com


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

Juliptic_Minibrot  { ; time=0:05:31.15-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 center-mag=-2.474863995\
  1095/0/915153/9451 params=90/0/45/0/0/0/0/0 float=y
  symmetry=xaxis maxiter=15000 inside=0 outside=tdis
  colors=000zm0KgGIkIHnKCjU7fc3cl9`hEZeJWaOUZURVZPSc\
  MOhKLlGWpCet8ow4yU6STAVSEXRH_RLaQPdPSfOWiOZk97_ois\
  llbjoMhr6bhFY_OTRXOIeJ9mavGUDGVHEWLCXPAYT9ZX7_`5`d\
  3`g2RbIHZX7IY6DZ6DUAAUA7UA5UA6UA6UA6NACVAIbFNjKTrH\
  YzKUtNQnQNiTJcWFYZCTa8Nd5IeKTzYcelnzzyzrqzzinbapWU\
  sOMvGEx97r8Cm7Gh6Lc6PZ5UU4YP4aM6KJ8`G9KDB`ADK8E`9G\
  K9HcAJKAKfBLKBNiCOjCPkFUgHYdKa`MeYOiURmRTqNVuKXzQz\
  rWZza`pgazmznsazpaln`zk`ji_zfzhdZgazg_YfXYeVXdSXcQ\
  WbNWaLWaJx`VyYVx_Qx`MxbIwcEweAwf6wg2ue5tc7sa9q`CpZ\
  EoXGmVJlULkSNiQQhOSgNU_TWTYXMcZEh_7na0sbLpaemazkav\
  icsgepffldhicifakb`l_ZnXYoa_nf`mkalpbkucjl`ccZYWWR\
  NULERE6P88OD9NHBNMCMQDLUFLZGKbHKfwmNsnPpoRmpSjqUgr\
  WcrX`sZYt_VuaSvcOvdLwfIxhFyiCzk9zlBvjDshEofGldIhbJ\
  e`HbZF`YEYXCWWBTV9RU7PS6MR4KQ3HP1FO0DN2GQ4IT6LW8NZ\
  APaCSdEUfGXiIZlK`oMcrOeuPgwQfuResSdrTcpUbnVamW`kX`\
  jQZlKXnDVp7Tr1Rt7SsQYAO`C }

frm:SliceJulibrot2   {; draws most 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=sqr(z)+c
  |z|<=9 }

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