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January 26, 2006 Jan. 25 Jan. 27 2006 FOTD Home

jan26

Fractal visionaries and enthusiasts:

Today's image is a Julia set of the Z^(1.3)+C Mandeloid as it appears 15 levels up the complex-log hyperspiral.  The corresponding Mandel point is located in the center of a squashed bud with a periodicity of 7, which lies on the southeast shoreline of the main bay of the Mandeloid.

The image was rendered in pretty much the traditional manner, with equal iteration bands on the 'outside' and extra interest added by setting the inside to 'zmag'.

I found the image in under 2 minutes and colored it in under 5, hardly enough effort to earn a name or rating for the image.  The render time of 1-3/4 minutes is true on my 10-year-old 200mhz computer.  On the current fireball units, it should render in around 15 seconds.

Chilly temperatures and gripping winds here at Old Fractal Central on Wednesday kept the fractal cats confined to quarters.  The extra treat of mackerel came as a surprise, but it kept them reasonably happy.  My day was kept busy with a combination of the usual work and the moving preparations.  The forecast is for a 90-percent chance of a FOTD in 24 hours.  Until that transcendental moment arrives, wait with bated breath.

Jim Muth
jamth@mindspring.com


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

FOTD_for_26-01-06  { ; time=0:01:45.31--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC center-mag=0.0071442/-0.115288\
  /0.5788618/1/10/-1.23373533611470521e-014 passes=1
  params=1.3/0/15/0/0.7152/-0.3012/0/0 float=y
  maxiter=500 inside=zmag logmap=yes periodicity=10
  colors=000rQQECHH9GK6FN3EQ0DT3GW6JZ8LaBOdERgGTjJWm\
  LYpLRsLKvLDyL7xUBxaFwiIwqMwyPuwQsvRquSosTmrUkqVjpW\
  dbTZQQTDNPKLLRJHYHmsF9kDDhJGePJbUM__PYd3xPaDFcPUe_\
  hgjv`grUenNcjHieBn`5sWBtYHu_NvaTwcZxedyfirZmkRqdKp\
  gOojRnmVnoYphWrbUsXSuQQvKOxEMy8LzGKzOKzWKzcKzkKzsK\
  yoJxkIwhHvdGu`FtYFlSMeNTZHZRCeK6lD1rG8iIF`KMTMTKO_\
  BQf3W`AaVHgPNmJUrD_qC_pCZpCZoCYnCXmCX_BWlBWkBVjBUz\
  hUiAThATgASfARfAReAQd9Qc9Pc9Ob9Oa9N`8N`8M_8LZ8LY8K\
  Y8JX7JW7IV7IV7HU7GT6GS6FS6FR6E920Q6DP6DO5CO5CN5BMY\
  zL5AL49K49J48I47I47H46G36F35F34E34D33C23C22B21A219\
  206bD7`C7ZB7XB7VA7T97R98Q88O78M78K68I58G58E49D39B3\
  992971951930_qTZoSYmRXkQWjPVhOUfNTeMTcLSaKR`JQZIPX\
  HOWGNUFMSEMRELPDKNCJMBIKAHI9GH8FF7FD6EC5DA4C83B72A\
  51930SJURITRISQHRQHRPHQPGPOGPOFOOFNNFNNEMMELMDLLDK\
  LDJLCJKCIKCHJBHJBGIAFIAFIAEH9DH9CG8CG8BF8AF7AF79E7\
  8E68D67D56C56C55C44B44B33 }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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