Fractal visionaries and enthusiasts:

Today's image is a scene in the Seahorse Valley area of the HyperMandelbrot set.  The Hypermandelbrot set consists of two overlapping classic M-sets, which coincide perfectly as long as all parameters are set to zero.  When the parameters are changed however, the sets become offset and begin covering each other.  When different parts of the two sets occupy the same coordinates, the part with the lesser iteration count always prevails. This gives some interesting effects, as today's image shows.

With the imag(p4) parameter in the formula set to 0.00000001, the two sets are offset to only a slight degree, but the image magnitude of over 10,000,000 is so great that the slight offset has a large effect.  The two overlapping minibrots, which are actually the same minibrot appearing twice, have obscured large parts of themselves.  The surrounding patterns also suffer with this identity mix-up, but everywhere, the parts with the least iteration count always prevail.

I named the image "No Warpage Here".  When I first saw the image, it appeared skewed, but when I checked, I found it to be perfectly straight.  The name reflects the discovery.

The rating of an 8 is well above the average 5 or 6.

Warm weather staged a comeback here at Fractal Central on Tuesday, as the temperature reached a high of 90F 32C.  When it got a little too warm for the fractal cats' comfort, they staged a return to the cool tile of the kitchen floor.  My day was as close to normal as is possible, but FL is starting to worry about the effect the lack of rain is having on her gardens.

The next FOTD will be posted in 24 hours.  Until then, take care, and as one zombie said to the other, "look alive!"

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

No_Warpage_Here    { ; time=0:06:28.69-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 passes=1 float=y
  center-mag=-0.7426122288127712/+0.163791441788755/\
  1.184834e+007/1/-80/0 params=0/0/0/0/0/0/0/1e-008
  maxiter=6400 inside=0 logmap=-1090 periodicity=0
  colors=0000000zw0yw0xw0wy0vx0uw0tv0su0rt0qs0pr0oq0\
  np0mo0ln0km0jl0ik0hj0gi0fh1eg2df3ce4bd4ac4`a4_`4ZZ\
  5YY5WW5TV5RT5PS6NQ6KP6IN6HM6FL9GNCHOEJQHKRJMSMPUOT\
  VRWXTZYW`ZYc``eacgcfhdiielgcofare`wdZzcXzbWzaUw`Sw\
  _RvZPuYOtWPsUPrSPqQPpOPoMPnKPmIPhGPcEPcCPcAQcAQgCQ\
  hEQiGQjIQkKRlMRlORmQRnSRnURmWVlYYlZ`m_dm_gm`im`kma\
  nlapkbrjbtjcwicyhdzhdzbhzXkzRnzLqzFtzMkzSczYVHcNMi\
  FQhHVgJZfMceOhdRlcTqbVucWscWrcXqcXpcYncYmcZlcZkd_i\
  d_hd`gd`fdaddacdbbdbaec_edYfeUgeSgfQhfOhgMigKihIjh\
  GjiERCoN3rO9pOFnPLlPRjPWhQafQgdRmbRs`vQKRxZWoT`gNe\
  _IjSCoK6tC1qD4nD7kDAhDCeDFbDI_DLiWdcRdZMdTHdODdUUX\
  _jPdzIeyGexEfxDfwBgvAgv8hu7ht5it4is2is1jp4jn6kk8ki\
  AlfCldElaHm_JmXLnVNnSPnQRgXY`ccUiiXfg_debhcemahr_k\
  vYnzWqzUtzSwzRezVOzZNz`NzbMzdMzfLzhLzjLzlPzkUzkZzj\
  czjhzjmzfrzbvzZzzVzzRzzNzzJzzFzzBzz7zz4zz7zzCzzDzz\
  DzzDzzDzzDzzDzzEzzEzzEzzE }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

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