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February 22, 2012: Midget in a Trunk Feb. 21 Feb. 23 2011 FOTD Home
  Rating 7.5

midget in trunk

Fractal visionaries and enthusiasts:

Today's FOTD image takes us into one of the disembodied elephant trunks in yesterday's image, where I checked for minibrots.  The search did not take long.  Within 5 minutes I located the minibrot at the center of today's image.

This minibrot is unusually well-formed for one in a fractal with an exponent of 1.5.  Actually the minibrot resembles the classic Mandelbrot set far more closely than its parent fractal, which is little more than a shapeless blob with a well-defined East Valley on the X-axis.

I retained the rather pale basic color palette of yesterday's image, tweaking the colors only when necessary to achieve more smoothness.  (Some bands still show, since total smoothness is impossible with only 256 colors.)

The rating of a 7-1/2 is high enough to make the 1-3/4 minute calculation time worth the effort.  And as always, the finished image is available on the web sites.

The day turned out unexpectedly pleasant here at Fractal Central, with enough sun and a mild temperature of 57F 14C.  The fractal cats took full advantage of the conditions, and spent most all afternoon on their window shelf.  The humans had another uneventful day, which is not nearly as boring as it seems.

The next FOTD will be posted in 24 hours.  Until then, take care, and sometimes I wonder whether the trouble with religion is that so many people believe it or that too few believe it.

Jim Muth
jimmuth@earthlink.net


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

Midget_in_a_Trunk  { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 center-mag=+0.170759311/\
  -0.00818564225/25953/1/-56.9/0 params=1.5/0/1.5/0
  float=y maxiter=15000 inside=0 logmap=135
  colors=00005X05Y05Z05_05`05a05b05c05d05e05f05g05h0\
  5i05j05k15l26m37o48q59s6At7Bu8Cu9DtAEsBFrCGrDHoEIk\
  FJgGKdHMaIOXJQUKSYIUaGWeFYiF_mEaqEctCdpBclAai9Ze8V\
  a7RZ5NV4LR3JO2IK1HI6GH8GGBHGEJIILJMNLQOMMUOJZQGdSD\
  iTAoV7tX4yY4uc3rc3mc3gc2ac2Wc2Qc1Kc2Gd3De4Bf59g68h\
  79i8Cg9FfBIeCLdEOcFRbHUaIW`JY_K_ZLaYMcXPeWPgVOiULk\
  TGmNBoIApJCqLFrQLsWStaYtgcsmiqskprlnqmlpnkpokopknq\
  knrkmskltllulkvnjwpjxqiyrhzrhpvQmsTkpWinZfkadidbig\
  _ijYimWioXilXiiXifYidYiaYiZZjXZlUZnRZoP`jUbfZdbbfZ\
  ghVljRphSlfShdSdbS``TYZTUXTQVTMUTJTSKSSKSRLRRLQQcQ\
  QcPQcOPcOPcNOcMOcMNcLNcLNcKOcKPcKQcKRmKRmKSmKTmKUm\
  KUmKUmJUmJUmJUmJUmJUmJUmJUmJUmJUmcUzcUzcUzcUzcUzcU\
  zcUzcUzcUzcUzcUzcUzcUzcUzcUzcUzcczcczcczcczcczcczc\
  czcczcczcczcczcczcczcczcczcczcczcczcczcczcczcczccz\
  cczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcc\
  zcczcczcczcczcczcczcczccz }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100, p=real(p2)+PI
  q=2*PI*floor(p/(2*PI)), r=real(p2)-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=========================================