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Nov. 22, 2013: A Passing Minibrot Nov. 21 Nov. 24 2013 FOTD Home
  Rating A-6, M-5

a passing minibrot

Fractal visionaries and enthusiasts: 

Today's image lies in one of the two East Valleys of the parent fractal that is generated when the expression Z^(1.85)+C is iterated 0.5094505 levels up the complex hyperladder.  The level is set to such a critical value because at this particular level the parent appears to have X-axis symmetry.  The appearance of symmetry is false however.  It exists only on the surface.

The art value of the image, with its overbearing minibrot, rates only a 6, and the math rates only an average 5.  All is not lost however, for the minibrot is surrounded by smaller detached minibrots just waiting to be explored.  I will check some of these smaller minibrots in the next few FOTD's.

The name "A Passing Minibrot" refers to the way I found the minibrot.  At first I passed right by it, but then I returned to have a second look.  After a few minutes I saw enough there to make it today's FOTD.

The calculation time of 2-1/4 minutes will pass fast enough, though it may still be a bit too slow for such a mediocre image.  Mediocrity can be avoided however by checking the FOTD web sites.

Thick clouds and occasional light showers held spirits to a low level here at Fractal Central.  The temperature of 50F 10C was mild enough, but was wasted by the clouds.  The fractal cats seemed cranky this afternoon, possibly due to the weather.  The humans had a very average Friday.

The next FOTD will be posted in two days, on November 24.  Until then, take care, and pay no attention to those who say we are becoming too dependent on technology and are even becoming addicted to it.  Even higher technology will solve all our problems and put the doomsday prophets in their proper places.

Jim Muth
jimmuth@earthlink.net


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

A_Passing_Minibrot { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=+0.2005901796/+0.1279569602/21526.13/1/\
  27.5/0 params=1.85/0/0.5094505/0 float=y
  maxiter=6400 inside=0 logmap=84 periodicity=6
  colors=000LIWKMVJRTIVSH_QGcPFgNElMDpKCtJBoIAkIAgI9\
  cH8ZH8VH7RG6NG6IF5ED4AC46B36E36H26K26N16M16Q06U06Y\
  77ZE7_K7_R7`X7`c7ai7abDWWJRPPLIVGB_BAWF9SJ9ON8LR7H\
  V7DZ69b66ffl`VSRK7HR6IY5Jd5Kk4Lq4MsOKufIvyGrzFozFk\
  zFhzFX4LX4PY4UY4ZZ4cZ4g_4l_4q`4v`4zOY_BzAAs99l98e8\
  7Z86S75L74E6376216659A8CDCFHFILILOMOSPQWSTZWWbZZfa\
  aiedmhgpkiqhfqfcrc`raZr_WsXTsVQtSOtQLdqHhnDll9pj5s\
  h2tc5t_8tVBuRDuMGuIJuELfRHScDEp9Bh69`37U0DQ9JMIOIQ\
  UEZ_Agd6oCpIEiNGbRHXVJQZLJbMDfO6jP0nHiWJ`bLShMJnSK\
  dXKWaKNYISVHWSG_PFcMEgJDkGCoTKqeSsr_tjVqDdKHbJL`IO\
  ZISXHVVGZTGaRFePEiNElLDpLCsMCwNBzOBuPAtQAsR9rS9rT9\
  pU8oV8nW7mX7mY7mZ6m_6m`6ma6mb5mc5cc5fc5jc4mc4pc4sc\
  4qc7oc9ncBlcEkcGicIgcLfcNdcPccSamU_mWZmZXm`WnbYoYZ\
  pT`qParKbsGetEguCivBkw9nx8py6qz5rz3sz2tz5uzUvzUwzU\
  xzUyzczzczzczzczzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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