Fractal visionaries and enthusiasts:

Mandelbrot images and Julia images are slices cut at two different orientations through the 4-dimensional hyperthings known as Julibrots.  But there are also four other perpendicular orientations in Julibrots, which I unofficially call Oblate, Rectangular, Parabolic and Elliptic.  Today's image shows the Oblate view of yesterday's cubic minibrot, which is determined by the imag(c) and real(z) axes of the Julibrot.

The coloring is almost the same, but the shapes have undergone a terrible transformation.  Instead of the attractive symmetrical patterns surrounding the minibrot in yesterday's image, we have the stretched, tortured patterns surrounding it today.

Despite the identical colors, the disfigurement cuts the rating from a 9 to a 6.  The name "Trouble in 4-D" refers to this drastic deterioration of the rating.

The calculation time of 1-1/3 minutes is a fair price for the image.  The bargains may be found on the FOTD web sites.

Total sun and a temperature of 68F 20C made today a day to be enjoyed here at Fractal Central.  The fractal cats found total enjoyment when they curled up on their sunny shelf in the southwest window.  The humans found their enjoyment when the day passed uneventfully.  The next FOTD will be posted in 24 hours.  Until then, take care, and global warming is a fact, so let's stop burning fossil fuels.  (It's a great solution, but what will we replace them with?)

Jim Muth
jimmuth@earthlink.net


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

Trouble_in_4-D     { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip float=y
  center-mag=-0.00000000000253310/-0.000000000099959\
  01/1.822797e+009/1.9508/-75.0923187513121064/50.92\
  04078507495339 params=3/30/0/0/90/0/-0.87249496347\
  77424/29.73584375063138/-0.8724949634777424/29.735\
  84375063138 maxiter=2200 logmap=215 periodicity=6
  colors=00000_00Z00Y00X00W00V00U00T00S00R00Q00Q10P2\
  0O30N40M50L60K70J80J90GA0DB0BC08D16E23F31H43J44L45\
  N56P57R58T69V6AX6BZ7C`7Db7Ed8Ff8Gg8HeBGdEFcHEbKDaN\
  C_QCZTBYWAXZ9Wa8Vd8WeDWfHWgLWhPXhUXiYXjaXkeYkjYlnY\
  mrYnv00K00K00K00K00K00K00K10K20K30K40K50K60K70K80K\
  90LA0MB0NC0OD1PE2QF3RG4SH5TI6UJ7VK8WL9XMAYNC_OE`PF\
  aQHbRJcSLeTMfUOgVQhWSiWTjUYWSbHRf2Tg7UhCViHWiMXjRZ\
  kW_l``leamjbnocnslTSt70s83s85r87r89r8Bq8Dq8Fp8Ip8K\
  p8Mo8Oo8Qn8Sn8Un8WrOPvcJyrDslHnfKi`NdVR_QUVKXQE`L8\
  cG3fL4cQ5aU6_Z7Yb7Wg8Tl9RpAPuBTyBXxA`wAdv9hvAmuKrt\
  PwsUxsXyr6Cq6Bp5Ap59o48n47m36m36o2Ap49p69p89qA8rC8\
  sE8tG7uI7vK7wM6xP6yS6zV6zY8za9zeAziCzmDzrEwvFrzKoy\
  MlwOiuQfsScrUcqWcpYco_cnaclcckecjgckiWhmYko_jq`jsb\
  iuckwahy_izYhzWhzUhzShzKmzOmzRmzUmzYzz`zzczzgzzjzz\
  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=========================================