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June 14, 1997: Festive Ribbons June 13 June 15 1997 FOTD Home

ribbons

Fractal visionaries:

Today's fractal is again a scene in the Z^-2 julibrot, this time part of the YW slice.  It reminds me of bouquets of bows made from the ribbons that wrap gifts, so I named it ribbons.

I can see that I've got much exploring to do in the odd slices of the negative mandeloids.  There seems to be some really interesting stuff in there.

Before I go, I must add my few words of praise to Alice Kelley for her Alice in Fractaland web page.  That seashell fractal is one of the best I've ever seen.  Curiously enough, a few months ago I wrote a test formula virtually identical to the one that drew the seashell picture.  When I discarded it without giving it a fair tryout, I made a big mistake.

Jim Muth
jamth@mindspring.com


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

Festive_Ribbons    { ; time=0:00:58.55-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=ManN-XW-YW passes=t center-mag=-2.7813\
  36924045611/+0.7398353640882788/7569.178/0.005067
  params=0/0/-2/0/1/0 float=y maxiter=1000 inside=255
  logmap=yes periodicity=10 sound=off
  colors=000y01x02x02w03v04u05u05t06s07r08r08q09p0Ao\
  0Bo0Bn0Cm0Dl0El0Ek0Fj0Gi0Hi0Hh0Ig0Jf0Kf0Ke0Ld0Mc0N\
  c0Nb0Oa0P`0Q`0Q_0RZ0SY0TY0TX0UW0VW0VV0WU0XT0YT0YS0\
  ZR0_Q0`Q0`P0aO0bN0cN0cM0dL0eK0fK0fJ0gI0hH0iH0iG0jF\
  0kE0lE0lD0mC0nB0oB0oA0p90q80r80r70s60t50u50u40v30m\
  20u20s10v00w00u11u22p22u33r44v59u55t66r79r88r88r99\
  qBEpBBoBBoCFnDDmEElEElHIkGGjHHiHJiIIhJJgKKfMLfLLeM\
  MdNOcNNcOObPPaRQ`QQ`RR_STZTTYTTYUUXWWWWWVWWVXYUYYT\
  ZZSZZS``R``QaaPabPbbOccNddMeeMeeLffKghJggJhhIiiHkk\
  GjjGkkFlmEmmDmnDnnCppBppAppAqr9rr8ss7ss7tt6uu5vt4v\
  t4ww3xw2yy1zw1zz0zx0zv0zx0zt0zw0zt0zu0zr0zr0zs0zr0\
  zr0zq0zp0zo0zo0zn0zm0zl0zl0zk0zj0zk0zi0zh0zg0zh0zg\
  0ze0zd0zc0zc0zb0za0z`0z`0z_0zZ0zY0zY0zX0zW0zV0zV0z\
  U0zT0zS0zS0zR0zQ0zP0zP0zO0zN0zM0zM0zL0zK0zJ0zJ0zI0\
  zH0zG0zG0zF0zE0zD0zD0zC0zB0zA0zA0z90z80z70z70z60z5\
  0z40z40z30z20z10z10z00K0r  }

frm:ManN-XW-YW {; Jim Muth, Thanks to Benno
; p3 = 0 = Julibrot XW plane
; p3 = 1 = Julibrot YW plane
; p3 = >0 <1 = Oblique planes
z=flip(real(pixel))+real(p1),
c=flip(imag(pixel))+imag(p1),
a=p3, b=flip(cos(asin(p3))):
z=z^p2+((a+b)*c),
|z| <= 25 }

END COMBINED FILE FOR 19.6=========================================