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May 12, 2013: Oh-I-See-You May 11 May 13 2013 FOTD Home
  Rating M-9, A-6

oh-I-see-you

Fractal visionaries and enthusiasts:  

Today's rating is in two parts, a math part and an art part.  The mathematical interest is quite high, the artistic interest, just so-so.

The scene lies well inside the main bay of the Mandelbrot set, where nothing but a blank screen should be expected, but today's image is anything but blank.  The 'ghost bud' peeking out from behind the dark foreground stuff on the left is the first sign I have found of minibrots in the hyper part of the HyperMandelbrot set.  True, the scene is not critical, but it is a sign that interesting discoveries might lie ahead.  So far however I have been unable to bring the partially hidden bud out into the open.

The hole at the center of the parent fractal closely resembles the mandel-object found by Mike Frazier at the bottom of what I had previously assumed was an endlessly shrinking series of concentric fractal starbursts.  Today's scene lies inside a second-order bud at the edge of the circluar hole at the center of the main bay of the M-set.

The superior math rating of a 9 is held down by the merely average artistic-worth rating of a 6.  The name "Oh I See You" describes how I felt when I first caught sight of the unexpected bud.

The calculation time of 7 minutes is slow, let's face it.  The way to avoid time frustration is to find relief on the web sites.

A mix of sun and ragged clouds, a temperature of 59F 15C and a brisk northwest wind made today feel unseasonably chilly here at Fractal Central.  The fractal cat managed to find a stray shaft of sunlight in the afternoon, and curled up in comfort, but a cloud covered the sun after only 10 minutes and he retired to claim my favorite chair.  With no mothers to visit, the fractal humans had a pleasant day at a local barn that has been converted into an antique shop.

The next FOTD will be posted in the proper time.  Until that wonderful moment arrives, take care, and if the right is right, how can the left be right?

Jim Muth
jimmuth@earthlink.net


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

Oh_I_See_You       { ; time=0:07:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 passes=1 float=y
  center-mag=-0.1237598874/+0.0164735574/3530/1/-23/0
  params=0/0/0/0/10/0/1e-060/0 maxiter=7200
  inside=0 logmap=459 periodicity=0
  colors=00060I50K70J70K80K90LA0LB0KC0KD1LE2MF3OH4PJ\
  5RL6SN7UP8WR9XTAZWB_ZC`aD`cEacFacGbcGdcHccIbcHacIa\
  cJ`cI_cJZcJZcJYcJXcKWcKWcLVcMUcMTcNTcOScORcPQcPQcP\
  PcPOcPNcPRcPPcPNbPMaPK`PJ`NH`MG_ME_KDZJBZIAXJBWKCV\
  LDUKETKFSKGRKGQKHPKIOKJNKKMKLLKMKKMJJNIIOHHPHGQKMR\
  JMSIMSHMTGMUFMVEMWDMXCMXDMWEMWFMVFMVGMUHMUHMTDGTEH\
  SFISFJRGKRHKQHKQIKPJKPKKOKKOLKNMKNMKNNKMOKMPKLPKLQ\
  KKRKKRKJSKJTKIUKIUKHVKHWKGWJGXIFYHFZGEZFE_FE_JG_JG\
  ZIGZIGZIGZHGZHGYGGYGGYGGYFGXFGXFGXEGXEGXEGWDHWDHWC\
  HWCHVCHVBHVBHVBHUAHUAHUAHU9HU9HT8HT8HT8HT7HS7HS7HS\
  6HS6HS6HT7GT8GT9GT9GTAGTBGUCGUCFUDFUEFUFFUFFVGFVHF\
  VIEVIEVJEVKKWLKWLKWMKWNPWNPWOPXPPXQUXQUXSUXTUXTZYT\
  ZYUZYWZYXcYYcYZcZ_cZahZahZbhZchcembkmbkmbkmbkrbkrb\
  krbkrbkwhkwhkwhkwhkzhkzblzhlzhlzhlzhlzhlzhlzhlzhlz\
  hlzhgzhgzhgzhhzmmzmmzmmzmmzmmzmmzmwzmwzmwzzwzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

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