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May 24, 1997: Zodiac May 23 May 25 1997 FOTD Home

zodiac

Fractal visionaries:

Today's fractal is a delicate little one that takes only a few seconds to draw.  It pictures 12 Mandelbrot midgets, all facing inward.  I was going to name it Apostles, but I decided on Zodiac, because the midgets are lined up in a circle.  I could have named it Months or Hours, but those names just don't have enough class.

The delicate fractal arcs connecting the 12 midgets are filled with smaller midgets of the most unusual kind.  I'm not going to post any of these, but anyone who explores this image will not be disappointed.

As you may have noticed, I'm spending a lot of time with my Test15 and Test16 formulas.  Sometimes this happens.  I get hung up on a particular formula and just can't seem to let go of it.  But for the sake of variety, I'll move on to a new formula for tomorrow's fractal.

Jim Muth
jamth@mindspring.com


START PARAMETER FILE FOR 19.6===================================

Zodiac             { ; time=0:00:02.81-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=Test16 center-mag=0/0/0.9363296
  params=1/6.5/0.075/-5.5/2/1 float=y maxiter=500
  inside=0 logmap=yes symmetry=xaxis periodicity=10
  colors=000A0PA0PA0PHUrNirTxrTwrmvrmtrmsrzrrzqrzorz\
  nrznjzncznWzmOzmzzmzzqzzqzzlzzkzzpzzkzzkzznzzvzztz\
  zqzWou`vxvzWrzYoz_kzbgzddzf`zhYzaVzUSzN_zzgzzdzzbz\
  z_zPXzUUzYSzbPzfMzkSznYzqbzthzwfzpdzjckdaiY_gSZeMZ\
  hDZeLZeKZfKZfJZfIZfHZgHZgGZgFZgEZhEZhDOhrOhqOhpPho\
  PhnPhmPhlQhkQhkQhjQhiRhhRhgRhfRheShdShcShbShaTh`Th\
  _ThZThYUhYUhXUhWUhVVhUVhTVhSVhRWhQWhPWhOWhNXhMXhLX\
  hKXhKYhJYhIYhHYhGZhFZhEZhDu40t50t61s71s81r92rA2qB2\
  pC3pD3oE3oF4nG4mH4mI5lJ5lK5kL6kM6jO7iP7iQ7hR8hS8gT\
  8gU9fV9eW9eXAdYAdZAc_Bb`BbaBabCacC`dC`eD_fDZgD_zp_\
  yn_xl_xk_wi_vg_ue_td_sb_s`_rZ_qYZpWZoUZoSZnQZmPZlN\
  ZkLZjJZjIZiGZhErp5qp5po6po6oo6nn7mn7ln7lm8km8jm8il\
  9hl9hl9gl9fkAekAdkAdjBcjBbjBaiC`iC`iC_hDZhDOFUOGUP\
  GTPHTPISPJSQJSQKRQLRQLQRMQRNQROPROPSPOSQOSQOSRNTSN\
  TTMTTMUUMUVLUVLUWKVXKVYJVYJVZJW_IW_IW`HWaHXbHXbGXc\
  GXdFYdFYeFYfEYgEZgDZhDb8n }

frm:Test16 {; Jim Muth
z=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3), g=f*(pixel):
z=((a*(-z^b))+(c*(-z^d)))^k+g,
|z| <= 100 }

END PARAMETER FILE FOR 19.6=====================================