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May 15, 2011: Many Happy Returns May 14 May 16 2011 FOTD Home
 Rating 6

happy returns

Fractal visionaries and enthusiasts:

Today's discussion is brief because an antiquing trip did happen on Saturday.

The image turned up when I decided to see if any rectangles exist in the (-Z)^(2.003)+C Mandeloid.  I found no rectangles but I did find some interesting other stuff.  Today's image is a sample of that 'stuff'.

Most of the effect is due to the high-contrast color palette.  It takes more than sharp colors to create a great fractal however, so I could rate the image no higher than a 6.

The name "Many Happy Returns" has nothing to do with the image.  In fact, I have no idea why I chose it.  The words just kind of popped into my head when I shut off everything else.

My plans are to eventually post all the past images on my own web site, but judging from the way things are presently going, I may never finish the job.

Heavy clouds and a temperature of 63F 17C cast a pall over Fractal Central on Saturday.  The rain was barely enough to dampen the sidewalk, but it did dampen the spirits at the fair for the benefit of the local volunteer fire company.

The fractal cats, who were left alone all afternoon, had their spirits dampened also, and gave the humans a sound scolding when they returned.  The next FOTD will be posted in 24 hours.  Until then, take care, and some claim that everything is a dream.  If this is so, then who or what is the dreamer?

Jim Muth
jamth@mindspring.com


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

Many_Happy_Returns { ; time=0:01:06.24-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=-1.746803722\
  297722/+0.00001106402990913/2.52e+007/1/-57.5/0
  params=0/0/0/0/0/0/0/0/2.003/0 float=y maxiter=1500
  inside=0 logmap=198 periodicity=6
  colors=000HEWCAO87G438fGaWCSL8JA49ipk8rs1I60D40930\
  411ch0Zb0UX0PS0KM0FG0AB055IcM9KBixhGXLAME5B7gSg_N_\
  TITMEME9E747q25JqSC_I6I9j8hd7bZ6XT5SN4MH3GB2B5150r\
  i0g_0XR0MI0B92bR1JDaOIVKFPGCJC9C866436jdWP6LG4A82O\
  TLKOIHKFDGCeHKgEGiBCk88fABbBDZCFVDHQEKMFMIGOEHQiUF\
  mj5tm8jgBk_ElZGkaIkdJjgLjjMimOipPhsRhvSbuVXtYSs`Ms\
  cGrfBqi5pl0poOMvPSrQYnRbjShgTmcUs_UxXTmXTcXTUXTKXT\
  AXQQcNejLtpMqqNnrOksOhsPetQbuQ_uSXtUVtWSsYQs_Nr`Lr\
  8X3AZAC_HDaOFbVHdaIehKgoLhvQcvV_vZWvcRvgNvlJvpFvjD\
  qeBm`9hW8dQ6`L4WG2SB1O75L48J1BHSCOrDUhAP_8KR6FI4A3\
  10925`jcOVQCFDm3Kc2GU1CK18A041cM0QE0D7xv7pn6hg5a_4\
  UT3MM2FE1770nholvM_gGOTBCE5sbmiWd`QXSJPIDG968ApC8g\
  A6Z85Q63H4182GwmDneBeZ9YS6PL4HE287gY1h0k`0cU0cM0cF\
  0m70muDmgJm`GmVDmPAmI8mC5m62mhz5_z4Rz3Iz29z1GzVAzK\
  5zAtzRlzNezKZzGSzDLzAEz67z3zzwzzUzzszzkzzczzWzzOzz\
  Gzz8zzhzzXzzMzzBzzszzkzzc }

frm:SliceJulibrot5   {; 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=========================================