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July 19, 2010: The Wrong Angle July 18
July 20 2010 FOTD Home
 Rating 7

wrong angle

Fractal visionaries and enthusiasts:

Today's image is a zoom into the bit of Seahorse Valley that was stretched across the center of yesterday's image.  It took quite of anti-distorting to undo the stretching distortion in yesterday's image, but once this was done, the result was very near perfect.

The incredible thing with today's image is that it calculates in 13 minutes, but shows the spider-web, peanut-hole features that normally lie much deeper in Seahorse Valley and take hours to calculate.

The name "The Wrong Angle" refers to the fact that in the image, Seahorse Valley is viewed nearly edge-on, yet appears quite undistorted.  The rating of a 7 is mostly for mathematical interest.

The calculation time of 13-1/2 minutes is admittedly a drag, and I can give no guarantee that the result will offer full compensation.

BTW, I have simplified the new logo for the FOTD web page, which was getting over-worked and over-complicated.  It shows my favorite fractal and the six perpendicular slices of the 4-D Julibrot.  I'll send it to Paul on Monday.

Typical midsummer weather continued here at Fractal Central on Sunday, with lots of sun and a temperature of 93F 34C.  The fractal cats made the most of things by sleeping all day.  The next FOTD will be posted in 24 hours.  Until then, take care, and if the world ends within 24 hours, there might be no more FOTD's.

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


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

The_Wrong_Angle    { ; time=0:13:36.14-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.838351136\
  47022960/+0.01718083180624014/204.918/427.74/90/\
  0.0214321089199651232 params=-45/0/90.1/0/-0.7514/\
  0/0/0/2/0 float=y maxiter=125000 inside=0
  colors=000QJoRIpSHqTFrUErVBtUBsTArSBpRCoRDmRDlQDkP\
  DjOEhODhNDgNEfMEdMDcMCcLDbLCbKCaJCZHCYHBVGAUFAUFAU\
  E9UD9UD9UC9U94UB7UC9UDCUEEVFHWGJXHMYJO_KRaLTdMWfNY\
  hO`kPbmKbxNcsQdoSekVfgXfc_g_ahWdiSgjOijKlkGnlCqm8s\
  m4tk7tjAtiCuhFvgHwfKxeMydPzcRyeSxfSwgSvhTuiTskTrlT\
  rmUrnUroUqqUqrVqsVquVqwVpwWowXnxYnyZmzZlz_kz`kyajx\
  biwbhvchudgtefseerfeqgdphcoibnibmjalk`kl_jm`il`hk`\
  gj`fj`eiaehaehadgadfadfacebddbccbccbbbbbabaac``c`_\
  c`_c`Zc`YaaXb`Yc`Yc`Zd`Ze`_e`_f`_ge`ge`heaieaieajd\
  bkdbkdclfcmgdmhdnjdojeqletlfwmfxogwofvnfumfslfnjem\
  ielgekfejdeicdhadg`dfZdeYddXccWcbVcaUc`Tc_SbZRbYQb\
  XPbVQeWPcWObXOaXN`XM_YMZYLYYLXZNZZO__Pa_Qb`Rd`Se`T\
  faUhaWibXkbYlbZmc_oc`pdardbsedvdctdbtcbucaucaub`vb\
  _va_vaZwaZw`Yw`Yx_Xy_Wz_WzZVzZVyZUyYTxYTxXSxXSwXRw\
  WRwWQvVPvVPvVOuUOuUNuUNtTOtSOtSOsSOsSNsSNrRNrRNrRM\
  qRMqQMqQMpQKpQKpQKoQKoQKo }

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=========================================