Fractal visionaries and enthusiasts:

You know things are bad when you get the remnants of an e-mail 'phishing' scam from the philofractal list.  Believe it or not, this is what I received a day or so ago.  At least the sender did not try to convince me that I had won a fractal lottery that I had never entered.

I named today's image "SCA".  I leave it to the fractalist to decide what the letters stand for.  Two possible things are 'small craft advisory' and 'sickle-cell anemia', neither of which has much to do with fractals.

What *does* have something to do with fractals is the formula Z^(1.5)+C as it appears 555 levels up the endless logarithmic ladder.  The Mandeloid at this level is little more than a roughly circular bay, with few buds that might add interest, but its Julia sets are far more interesting.

Today's image is the Julia set of an inconspicuous valley of the Mandeloid.  It is a rather unique image, shaped something like a comma turned sideways, which is why I decided to give it a kind of name and a rating of 7.

The calculation time of under 3 minutes will make running the included parameter file an easy task.

A slightly milder temperature of 41F 5C and a partly cloudy sky here at Old Fractal Central on Tuesday were not quite enough to please the fractal cats, who were outside only a few minutes before coming in to ask for extra tuna.  My days continue incredibly busy, but not so busy as to preclude fractals.  The next FOTD will appear in 24 hours.  Until then, take care, and the world may exist only in the mind, but if so, where is the mind?

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


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

SCA                { ; time=0:02:42.14--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC passes=1 center-mag=0.144306/\
  -0.216718/1.289431/1/-137.5/-6.32272012524027e-014
  params=1.5/0/555/0/0.0068/0.1961/0/0 float=y
  maxiter=350 inside=255 logmap=yes periodicity=10
  colors=0009AICCJFEKIGLJIMLKNNMOPOPRQQTSRVUSXWTZYU`\
  _VbaWecTgdRlfQofQrhOuiOwkNylNznLwoLxqKysKztIzvIzxH\
  zyHzzGzzGzyEzxDzvBztAzq9zo7xn6tl4qk7nkAkkDikGhkIfk\
  LdkOckRakV`kYZk`Yic`ifciihilkionisqivviyyizzizzizz\
  lzznvzqqzslzvhzxczzZzzVzzQzzLzzHzzDzzGzzIzxKzsNznQ\
  ziRzdVz`WzWZzRazNczIfzEhzAkz6nz1oz0sz0tz1szAqzHozQ\
  nzYnxflvoksxiozhnzhkzdizcfz`dzZcxY`tVZqTYnRVkOThNQ\
  dKOaINYHKVEIRDHOBEL9DI7AG49D27A1870A40C10E40G60I92\
  KB4MD7OF9QHBSJDULEWNHYPI_RLaTNcVQeXRgZSi`TkaUdhVZl\
  TTtQNzOmzLmzKHzGLoDQcAVQ7ZE4c41o00h00a01W04Q26K69D\
  AB7DD1GG0II0KK0LK0NL0ON0OO0QQ0QQ0RR0RT0TV0TW0VW0WY\
  0WZ0Y`0Ya0Za0Zc0`d0`f0ah0ah0do9fvKdxHYzELzD1zG2zH4\
  zI6zK7zL9zNAzOBxQDvREtTEsWGqYHoZIn`KkaLicNhdOffQdh\
  RciRafVZdYYc`W`cVZfTYiRVlQToNRsLOvKNyILzHIzGHzEGzD\
  KzKNzQRvWVqaYlh`odcsahvZlxWqzAvzAzz0zz0zzUzzczzmzz\
  mzs7ol4hd2cZ0dW0dT0dQ0YYY }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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