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August 19, 2010: Nearly Quadratic Aug. 18
Aug. 20 2010 FOTD Home
 Rating 6

quadratic

Fractal visionaries and enthusiasts:

Today's image is named "Almost Quadratic".  The reason is that the exponent of Z is 2.01, which is almost quadratic.  The parent fractal is a Mandelbrot set, no surprise there, but this set is rotated 180 degrees, so that East Valley is on the west side of the main bay and the main spike points east.

Both East Valley and the main spike have split into fractalized pieces, with the greatest distortion on the southern branch of Seahorse Valley and the southern shore of the large period-2 bud.  But the Seahorse Valley distortion is an FOTD for another day.  Today we are concerned with the things happening to East Valley, which has broadened into a wedge.  Today's image lies in a curious patch of debris near the northern edge of this wedge.

All this strangeness might appear good in writing, but on the screen, even when helped by the 'tdis' outside option, it makes an image that I can rate no higher than a 6.

Lots of clouds, a little sun and a temperature of 82F 28C made Wednesday a rather pleasant but uneventful day here at Fractal Central.  The fractal cats were not concerned with the outside weather however.  Nicholas somehow worked open one of the high unused cabinets in the kitchen and disappeared inside for a couple hours during the afternoon.  Cassie checked the space but decided not to go in.

In my department, things were about average.  The next FOTD will be posted in 24 hours, and that certainly is average.  Until then, take care, and if all electrons are exactly the same, how can we distinguish one from another?

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

Nearly_Quadratic   { ; time=0:05:23.51-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-0.258603580125043/-0.00230274752051391\
  /2.985925e+008/1/166/0 params=2.01/0/1.5/0 float=y
  maxiter=4200 inside=0 outside=tdis periodicity=6
  colors=000RbBUb3ZZ6bW9fSCjPEcYNYfWRodLxmOqnQjnTdnV\
  YnXSnUWoRZpPbqMerKhrLkdMnRMpDOoJPnPQmVRl`SkfTjlUir\
  ViwjSmzAcsDbmFagIa`K`VN_PP_MRXF3PD5MFQPDDMBBJ99HD4\
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  iGDmH9pI6qP7qV8ra8rg9rm9nnEjnJfnNbnSZoXVo`RoeNoiLq\
  eKraIsZHtVGuREvODwKCxH6tJ1pK5qH9rFDsDHsBIlGIeKIZOI\
  SSILWIE_I7cI0gN8hRFiVMi_Tjc_jgfkkmkjniiohipghqegrd\
  gscilbjebkZbg`ZcbW_dTWeQSgNOiKKkHHlEPnHWoKcqMjrPqs\
  RvL7nK9gKA`JBUJCMIDFIE8HF1HG7myPdefXNwP4oV4g`4_e4W\
  b8S_BOXELUHHRKDONALQ9KV9K_8Jd8Ji7In7Is7IwaG9YLBVQD\
  SVEPZGMcHJhJGlK9kK2kK5mP8nUBpZEqbHrgKtlNuqQvucx_py\
  Er6df5WaE`YNdTWhPclWcOYVK_MHaDEc5B`L83YvG`mTcddeWf\
  aZhY`jVclRemOgVbZCqQEpSGoUInWJmYLl_NkaOkcTldXle`le\
  dlfhlgllgplhtlhsjarhVrgOqeHpcApb3jZBeVI`SQWOXQKcLH\
  kGDrBAygOSl`_qmgkgeKeTNcJ }

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=========================================