Fractal of the Day
by Jim Muth

Psychoid Minibrot ©
Jim Muth's fractal image in GIF format (640x480).


Classic FOTD -- May 30, 2001   (Rating 7)

Fractal visionaries and enthusiasts:

Today's midget is named "Psychoid Minibrot", a name I just now invented.   The name evolved when I couldn't decide whether to use the word 'schizoid' or the word 'psychotic' in the title, and finally decided on a combination of the two.   After finding the name, I rated the picture a 7.

The image was created by the formula (1/Z)+0.5(Z^(-2))+(1/C), a formula that draws a most unusual parent fractal, which requires one outzoom before it becomes visible.   Today's midget is located at the extreme east edge of the parent, where the two feathery arms come together.

I took more effort than usual in coloring today's scene, most of which went into coloring the alternating arcs surrounding the midget.   The parameter file renders in a speedy 8-1/2 minutes with passes=b.   It takes almost twice as long with the normal single-pass method.

As always, the image file is posted in GIF format to:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and to:
http://sdboyd.dyndns.org/~sdboyd/fotd/

The fractal weather today was near perfect, the 78F (25.5C) perfection being marred by only a single minor squall of rain in the afternoon.   The fractal cats, Tippy and Thomas, who are half-brothers, approved of everything but the 5-minute shower.

And right now I'd approve of a junky sci-fi movie.   I can't say why I enjoy those things so much -- I just like to watch them.   So, until next time, take care, and flattering fractals fails frequently.


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Psychoid_Minibrot  { ; time=0:08:39.76--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=b
  center-mag=+7.02308642772854/+0.000132195301445/5.\
  500867e+010/1/40.027/-0.116 params=1/-1/0.5/-2/0/0
  float=y maxiter=1600 inside=255
  logmap=310 periodicity=10
  colors=000u0Ko0Kq1Ks2Kr3Kq4Ko5Ln6Mm7Nk7Mj7Li8Jg8If\
  9He9Gc9FbAE`AD_BBZBAXB9WC8VC7TD6SD5000000ZOJaUReZY\
  idem0m00igdgebezz0z42`Z`ZXZXczVrVSRSQPQONcmKMKKKHI\
  HKEKDCKBAB888666444222zU9zU6MC4D62i17f06d06b06`05Z\
  05X05V04T04R04P03N03K03I02G02E02C01A01801600400200\
  YbBW`AUZ9SX9RV8PT8NR7MP7KN6IL6HJ5FH4DF4BD3AB389267\
  2551331110Kc_I`YHZWGXUFVSETQDROCPMBNKALI9IH8GF7ED6\
  CB5A9487365243121RjjPggOeeMbbL``JYYIWWHTTFRREOOCMM\
  BJJ9HH8EE7CC599477244122kqPdiLYaHRUEKNADF7673agJJM\
  970x50k40_20O10CON_JISEDL99E447BtJAqI9nH9kG8hF8eE7\
  bD6_C6XB5UA5R94O84L73I62F52C4193162031zgGvdFsbEp`D\
  mZCjXCgUBcSA`Q9YO8VM8SJ7PH6MF5ID4FB4C83962641320uR\
  HmNEfKC_GATD8LA6E64732g78h88h87i97jA6kB6lC5mD5nE4o\
  F4pG3pG3oJ8nLCmOGlQKkTOjVSiYWh__gbcfdgegkdioclscmw\
  dmuemtfmsgmrhmqimpjmokmnlmmmmlmmkmmjmmimmhmmgmmfmm\
  dmmcmmbmmamm`mm_mmZmmY000
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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