Fractal visionaries and enthusiasts:  

With its rating of a 4, the art aspect of today's image makes little impact, but its math rating of an 8 gives near full compensation.

The image shows perhaps the most convoluted bud I have yet come upon.  This bud appears to have cubic tendencies in much of its nooks and crannies, while other areas appear almost quadratic.  The name "Bud Menagerie" refers to this zigzagging bud.

The parent fractal is a classic Mandelbrot set caught morphing into a cubic Mandeloid.  The most obvious feature is Seahorse Valley, which has joined its two branches into a kind of narrow bridge with a large diamond shaped area of chaos at the center.  Today's image lies within this diamond.

In addition, the main stem of the parent has spread out into a broad area of intricate detail, with several large minibrots centered along the ill-defined negative X-axis.  I may check these minibrots in a future FOTD.

The image calculates in a measly 1-1/2 minutes, so seeing its glories will demand little sacrifice.  Checking the image on the web sites will remove any remaining sacrifice.

Heavy overnight rain ended by late morning here at Fractal Central today, followed by a cloudy afternoon with a temperature of 64F 18C.  The fractal cats approved of the temperature but were disappointed by the lack of sun.  The fractal humans simply made it through the day without a notable event happening.  The next FOTD will be posted in two days on May 18.  Until then, take care, and the only sure way to end racism is to stop giving it so much attention in the media.

Jim Muth
jimmuth@earthlink.net


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

Bud_Menagerie      { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=t
  center-mag=-0.24168893/+0.00468962/1052/1/92.5/0
  params=3/3/0/0 float=y maxiter=3600
  inside=0 logmap=14 periodicity=6
  colors=000`00Y00V00S00P00N00K02H02F02C049047074272\
  770B97GX9KXBOXBOXDIrDKrGMrGOrGGzIIzIKzIMzKRzKTzMVz\
  MXzMZzOazOczOezIxz4zzBzzIzzOtzVkzaezgZznRztKzzDzz4\
  zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz7zzDzzKzzOzvVztazp\
  gzkkzgrzcxzZzzVzzRzzMzzIzzBzzGzzIzzMzzOzzTzzVzzZzz\
  azzezzgzzkxznvzrrztpzxkzzjzzezzgzzczzazzXzzVzvRxtO\
  trMrrInrGkrBgr9er4ar2Zr0Vr0Tr0Or0Mr0Ir0Gr0Kr0Or0Tr\
  0Xr0ar0et0jz0kz0pz0tz0xz0zz0zz0zz0zz0zz0zz0zzBzzMz\
  zVzzczxeznrzerzVrxKrpBrg0rZ0rR0rK0rI0rG0rD0rD0rB4r\
  99r7Dr7Ir4Mr2Tr0Xr0ar0er0jr0nr0tr0xr0zr0zr0zr0zr0z\
  t0zv0zx0zz0zz0zzBzzjzzezzazzXzzTzzOzzKzzGzzBzz7zz2\
  zz0zz0zz7zzGzzOzzZzzgzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

END PARAMETER FILE=========================================