Fractal visionaries and enthusiasts: 

The name of today's image is "Pseudo-Symmetry".  The name refers to the shape of the parent fractal, which came about when I whimsically calculated the expression Z^(2.34)+C at a level 4.32 turns up the hyperspiral.  At first glance this figure-eight-shaped parent appears to have 'origin' symmetry, but a closer look reveals that the symmetry is only approximate.

Today's scene is located in a valley of a larger minibrot lying on a filament extending from a mis-shapen bud on the northeast shore line of the northern bay of the parent.  The semi-symmetrical shape of the minibrot at the center of the image reflects the shape of the parent.

The coloring is nothing exceptional, but with the minor math interest, still earns a rating of 6-1/2.  The calculation time of 2-2/3 minutes lies within the normal range.  As always, calculation may be totally avoided by checking the image on the FOTD web sites.

Today began with clouds here at Fractal Central, but in the afternoon, the sun finally made a brief appearance, its first since October 25.  The temperature of 45F +7C was rather chilly for early November.  Fractal cat Nicholas' anticipation is building as the arrival date of his new companion Callie nears.  She is due on November 14.  Meanwhile, the humans simply made it through another day.

The next FOTD will be posted when it is ready.  Until whenever, take care, and who are you voting against on Tuesday?

Jim Muth
jimmuth@earthlink.net


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

Pseudo-Symmetry    { ; time=0:02:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=+0.581511067122/+0.663743919851/1.3e+007
  params=2.34/0/4.32/0 float=y maxiter=5000 inside=0
  logmap=243 periodicity=6
  colors=000pQgnPilOkkOniNpgMrfLtdKvbJxaJzcMydOxeQwf\
  SvgUvhWuiYtj_skarlcrmeqngpoiopknqmnrkjsigtgdudavaZ\
  wZWxWTyUQwSNwQKvOHrKHmFGhAGc5Fa2F_2EY2EW2DU2DU1CU1\
  CT1BS1BR1AQ1AQ00Q19Q19P18N18K17K17K16F06F05F05F04F\
  04F03F03F02F02F01F01F00A09A08A08A08A07A07A07A07A06\
  A06A06A06A05A05A05A05A04A04A04A04A03A03A03A03E02D0\
  2B02A02901701601501300200100wytwxswwrmvqmuqmtpctoc\
  sncrnUqmUplUpkUokUnjUmiPlhPlhPkgPjfPiePheLhdLgcLfb\
  KebKdaKd`Jc`Jb_EaZE`YD`YD_XDZWCYVCXVCXUBWTBVSBUSBT\
  RASQASPARP9QO9PN9OM8OM8NL8MK8LJ7KJ7KI7JH6IH6HG6GF5\
  GE5FE5ED5DC4CB4CB4BA3A9398388287IDaL7eO2hS4ZV5PY6F\
  eCXbGV`KTaPYaTbbYgbalbeqqE8lPQgZgchxcfocdfccYcaPc`\
  HmbMmdRmeVmg_mhcmjhmklciecg_cfTcdNccHceNmfTmgZmhdm\
  ijmjombgmV`zOTzGMz9FzJSzScz`ozXpzUqzUqzlnzUozUpzUq\
  zUqzcrzcszcszctzcuzcvzcwzcxzcyzcyzcxzcwzcvzcvzcuzc\
  tzctzcizc_zcQzcGzc6zc9zcB }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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