pagetop 
May 27, 2012: Fractal in the Hay May 25 May 28 2011 FOTD Home
 Rating 7

in the hay

Fractal visionaries and enthusiasts:

Today's strange looking fractal is a near-Julia set of a parent Mandelbrot set that has been distorted almost beyond recognition by Z^101 energies.  This parent resembles the vaguest outline of an M-set, which is filled with one large fragmentary circular outline and various fragmentary circular arcs and curves of other shapes and sizes.

The orientation of the slice is only 0.0001,0.0001 degree from the true Julia direction of the Julibrot, but this slight departure fills the empty Julia circles with grossly enlarged images of some of the fragmentary arcs filling the parent Mandelbrot set.

I named the image "Fractal in the Hay" when the colors reminded me of the color of dried hay.  The large horseshoe-shaped object adds to the impression of a barnyard.

The rating of a 7 will set no new quality record, but the calculation time of 23 seconds will waste no time either.  And as always, the FOTD web sites are ready to make the viewing even easier.

FL and I made it to Old Fractal Central and back yesterday with few problems other than taking one wrong turn.  When we returned, we were loudly scolded by the Fractal Cats, who were cranky about having been left alone all day.

Lots of clouds and humidity prevailed here at Fractal Central today.  But enough sun broke through to raise the temperature to a sultry 86F 30C.  The fractal cats appear to have gone into summer mode.  They spent the warmest part of the day stretched in the coolest places they could find.

The humans had a slow day, resting after yesterday's trip to Old Fractal Central.  The next FOTD will be posted before long.  Until that incredible moment, take care, and when life serves a lemon, make a sour face and bite it.

Jim Muth
jimmuth@earthlink.net


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

Fractal_in_the_Hay { ; time=0:00:23.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideJulibrot passes=1 maxiter=1500
  center-mag=1.81961/0.00092575/2.211791/1/-45/0
  params=89.9999/0/89.9999/0/-2.3155315/0/0/0/101\
  /1.5 float=y inside=0 symmetry=none periodicity=6
  colors=000nIUsIQxIMZDdA8wGDqMIkSNeXS_bXUhaOmeJldIk\
  cHjbGiaFh`Eg_DfZCeZBdYAcX9bW8aV7`U6_T5ZT5`V8bXBdZE\
  e`GgbJidMjeOlgRniUpkXqmZsoauqdvrfwpewoewnexlexkexj\
  evhbtf`reYpcWnbTl`Rj_OiYMgXJeVHcUEaSC_R9YP7XO5dHJk\
  AWr3hl7dgB`aFXXITSMPMQLHUHCXEITLNPSSLZXHdjOnxUwiZv\
  WcvIhu4muCllJkcQkWSlXTmYUnZWo_Xo`YpaZqb`rcasdbsedt\
  feugfvhgviitjjrkkqllommnnolopkpqiprhqsfruesvctwbux\
  `vy_vzWozSizOczKYzGRzCLz8Fz49z03dIGK_TLbVLeXLgYMj_\
  Mm`MobNrcNueNwfPtdRqbTo`VlZXjXZgV`eTabRc_PeYNgVLiT\
  JkQHmOFoLDpJCnMDlPEjREhUFfXGeZG_WOVUVQRaLPhGNoXPlm\
  QijNfhKceIacFZ`CWZAUW7RU5PV7RW9SXBUYDVZFW_HY_JZ`L`\
  aNabPbcRddTedUfcWebXdaZc`_b_aaZbaYd`Ye_XfZWhYViYUk\
  XTlWSnVRoURpU_e`hVfqKly9rt8np8jk7fg7bb7_Z6WV6SQ6OM\
  5KH5HD5D84944504235865E95KC5PF5VI5`L5eO5kR5qU5vLps\
  GlgBhX6dM2aBVJXv1rw4pw7owAmwClxFjxIixLgxNfyQdyTcyW\
  ayY`z`ZJFqOGmUGiZGecHaiHY }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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), aa=-(real(p5)-2),
  bb=(imag(p5)+0.00000000000000000000001),
  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)/(z^(aa)+bb)+c
  |z|< 1000000 }

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