Fractal visionaries:

Every once in a while there comes a fractal picture that fairly shouts its name.  Today's image is one of those.  Despite the abysmal initial coloring, the moment I saw the image, with its stylized figure standing on a mountain top, showering blessings, I knew it could be named nothing but "Blessings to All".  It took only a carefully selected palette to bring the prophet to life.

The formula is one of my failed attempts to rotate the julibrot from the XY to the XZ plane.  But though the formula doesn't give me exactly what I was after, it does draw some very interesting images, which have earned it a place in my permanent formula file.

Probably half the formulas in my collection were failures when I first tried them.  But success can sometimes come from failure, and unless a formula draws nothing but a blank screen, I almost never give up on it until I have tried a wide variety of parameters.  My current effort to draw all the oblique and skew planes in the julibrot figure is producing an unusually rich variety of formulas and images.

For tomorrow's fractal, I'm going to wing it.  Maybe I'll post another of my lucky accident fractals; maybe one of my older gems.  But whatever it turns out to be, it will be interesting.  Today's image has been solemnly posted to a.b.p.f. and a.f.p. for the convenience of those who can't tie up their machines.

Jim Muth
jamth@mindspring.com


START COMBINED FILE FOR 19.6===============================

Blessings_to_All   { ; time=0:00:06.10-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=ManTest1XY-XZ passes=1 center-mag=0/\
  -0.869225/0.3778966 params=0/0.5/0.5/0/-2/0 float=y
  maxiter=1000 inside=bof60 logmap=yes
  symmetry=yaxis periodicity=10
  colors=000000_JBFBDFFEGLGIQHKRJLSKNTMOUNQVPRXQTYSU\
  ZTW_VX`WZaY`bZcc`fdbieclfeogfqhhtiiwjkzklzmlzmlzll\
  zllzlmzkmzkmzjmzjmzimyimximwimvhmuhntgnsgnrgnpfnnf\
  nlfnjenhenfdnddncdnccobcoaco`bo_boZboZaoYaoYaoX`oX\
  `oW_oW_oV_oVZoUZoUZpTYpTYpSXpSYpRYpRXpQXpPXpOXpOXp\
  OXpPXpPWpPWpPWpPWpPWpQWpQVpQVpQVpQVpRVpRVpRVpRUpRU\
  pRUpSUpSUpSUpSUpSTpTTpTTpTTpTTpTTpTSpUSpUSpUSpUSpU\
  SpVSpVRpVRpVRpVRpVRpWRpWQpWQpWQpWQpXQpXQpXQpXPpXPp\
  XPpYPpYPpYPpYPpYOpZOpZOpZOpZOpZOpZNp_Np_Np_Np_NpZM\
  pZMpYLpYLpYKoXKoXJoXJoWIoWIoWHoVHnVGnVGnUFnUFnUEnT\
  EnTDmTDmSCmSCmSBmSAmR9mR7mR5mQ3mQ1mQ0mP0mP0mO0mO0m\
  O0mN0mN0mN0mM0mM0mM0mL0mL0mL0mK0kL0mK0kJ0lI0kH0jG0\
  iF0hE0gD0fC0eB0cA0a80`60_40Z20Y00X00W00VbG_bH_bH`b\
  I`bI`_HaXHbUGcRFdOFeLEfIDgGCfGDfGDgGEgFFgFFhFGhFHh\
  FHiFIiFJiEJjEKjELjELkEMkENkENlDOlDPlDPmDQmDRmBNrCP\
  pDQnESlFUjGVgHXeIZcJ_aKa_ }

frm:ManTest1XY-XZ {
z=real(pixel)+(p1*(imag(pixel)))+flip(real(p2)),
c=imag(pixel)+(p1*(real(pixel)))+flip(imag(p2)):
z=z^p3+c,
|z| <= 16 }

END COMBINED FILE==========================================