Fractal visionaries and enthusiasts:

Today's image is something different.  In fact, it is so different that it might be called radically different, which is what I named it.  The name is even more appropriate since I think it was Mr. Mandelbrot himself who gave the name 'radical' to the entire area of influence (filaments, stars, etc) associated with the familiar Mandelbrot buds.

There is no doubt that the things lining the bottom edge of the frame in today's image are Mandelbrot buds.  The doubt arises when the rest of the image is taken into consideration.  Something is definitely awry with the lesser-iteration stuff in the upper part of the frame.

The scene is sliced at an angle only one degree from the Oblate direction, which means that in the undistorted parent fractal, (which is worth checking), the mandelbrot stuff, including the buds, are stretched in the horizontal direction to 57.29 times their normal extent.  To correct this distortion, I squeezed the X-dimension of the parent down to 0.017455 of its normal value.  The trig literate know why I used these values.

This scrunching wreaked havoc with the lesser-iteration stuff, but it made quite an interesting image, once I worked on the coloring a bit.  The resulting image resembles a sunset scene on a totally alien planet, where fractals are reality and material is imaginary stuff created by computers from material formulas.

The rating of a superlative 9 includes a full point for the coloring.  The calculation time of 10-1/2 minutes is a bit slow.

Lots of heat continued here at Fractal Central on Friday, though the sun was weakened by high clouds from Hurricane Earl, which passed by 300 miles to the east during the day.  Not being weather buffs, the fractal cats survived the temperature of 90F 32C by stretching on the cool kitchen floor.

The humans had an average day.  I'll be alone at FC on Saturday while FL attends a nephew's wedding in Havre de Grace, MD.  This should give me a great opportunity to find a fractal or two.  Look for the next FOTD in 24 hours.  Until then, take care, and humanity surely is in a spot.  It knows that the over-population will eventually overwhelm the earth's resources, and technology will not be able to save it, yet it is helpless to stop the runaway reproduction.

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


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

RadicallyDifferent { ; time=0:10:28.43-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=slicejulibrot4 passes=1 float=y
  center-mag=+0.4220691763543036/+0.1260867862281196\
  /37.40621/0.5733/-5.65341784535408021/-84.170238\
  4804418955 params=0/0/89/0/-0.75/0/0/0/2/0
  maxiter=100000 inside=0 logmap=48 periodicity=6
  colors=0007Fi7Fj7Fj6Fk6Fk6Fl6Fl6Gl6Gm6Gm5Hn5Hn5Hn5\
  Ho5Io5Ip5Ip4Jq4Jq4Jq4Kr4Kr4Ks4Ks3Kt3Kt3Kt3Ku3Ku3Kv\
  3Kv2Kw2Kw2Kw2Kx2Kx2Ky2Ky2Ky3Kx3Kx3Kx4Kx5Kw6Kw7Kw8K\
  w9KvAKvBKvCKvDLuEMuFNuGOuHPtIPtJPtKPtLPsMPsNPsOPsP\
  PrQPrRPrSQrTQqUQqURqURqURpUSpUSpUSpUToUToVToWToXUn\
  YUmZTl_Tk`SjaSibRhcRgdQfeQefPdgPcgObgObgNcgNehOeiP\
  gjQikRjlSklTmkUnjVoiWrhXpgYofZne_md`mcambama`m``m_\
  `mZ`mY_mX_mWZmVZmUZmTZmSZmRZmQZmP_mO_mNamM`mL`mK`m\
  J`mI_lH_kGZjFYiEYhDYgEZgF_hG`iHakIamJboKcqLcsMcuNd\
  wOexPfyQgzQhzRhzSgyUfxWezYdv_cuactccsdcqecofcmgclh\
  ckickjcjkcjlbimahm`hm_gmZfmYfmXemWemYdnZco_cpabqba\
  rcase`tf`ug_viZwjZxkYymXznXzoWzpWsnXtmYulZvk_wi`xh\
  aygazfbzeczcdzbezafz`gz_gzYhzXizWjzYkzalzemzimzmnz\
  mozmpzmqzmrzmszmtzmuzmvzmwzmvzmzzmzzmzzmzzmzzmzzmz\
  zmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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