Fractal visionaries and enthusiasts: 

Today's image came about when I took the expression Z^(1.333)+C, calculated it 7 levels up the hyperspiral (hyperladder) with the 'floor' function applied, and checked the resulting fractal.

The name of today's FOTD, "Wrapped Around", does not refer to the image itself, but to the parent fractal in which it lies.  This parent has been caught in the act of wrapping around the complex logarithmic hyperspiral and slipping off into uncharted higher dimensions.  It consists of a large twisted open area with two broken chaotic filaments extending north and west, and a prominent bud on the southeast shore line.  Today's scene lies not too far out in the chaotic filament extending to the north.  I have not yet checked the bud.

The art aspect rates an 8, which is justified because the image is one of the better ones I have found in the exponent range between unity and two.  And I really did put extra effort into the coloring.  The math aspect rates a 7, with a good part part of the worth lying in the parent fractal, which has been caught spiraling off into another world.

The calculation time of 1-1/4 minutes is close to the average time it takes for a fractal to calculate on today's fireball fast but not always DOS capable machines.  The web sites can deliver the image faster, with no DOS compatibility problems.

Cloudy cold weather with a temperature of 27F -3C prevailed here at Fractal Central today, with light snow beginning in the afternoon and worse to come tonight.  The fractal cats, who do not appreciate their snug warm home, kept watch for the unlucky cats outside, who have no snug warm home to go to to keep them comfortable.  In fact, Nico growled and hissed from the window when one of them wandered into the yard, looking for food.  The fractal humans spent the day battening down for the winter storm, which might not be as bad as some are forecasting.

The next FOTD will be posted in a reasonable time.  If the storm causes problems, it might not be for a couple days.  Until whenever, take care, and everyone knows what must be done to stop climate change and save the earth, but no one wants to inconvenience themselves enough to do it.

Jim Muth
jimmuth@earthlink.net


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

Wrapped_Around     { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=floor passes=1
  center-mag=-0.5153288927852182/+1.547161935824231/\
  2075069/1/92.5/0 params=1.333/0/7/0 float=y
  maxiter=2250 inside=0 logmap=122 periodicity=6
  colors=000A2YA3XA4WA5VA6UA5TA3SA7RA5QA0PA5OA5NA6MA\
  2LB1KA3IA3G93E82C72A60850640430220010000000O05c0Rw\
  0zz0mg0hF0m00z00F0480010zczzzzgtzYmzPfzE_zBQz7Jw3C\
  s06o04k00g00c00c00c00c00c00c0vz0czFnnYwNqz0pk4nS7n\
  BBl0Hi0Li0Ne0Lc0La0L_0LY3KWCKUKKRUKOaKMiJPnRUp_Vuh\
  _wrczzezzizzkzzizzizvgzehyTfwEfu3gr0kp0nn0pk0rh2wf\
  3yd5zb7z_9zYBzWDzUEzUGJe00p00i00e00a00Y20UB0PL0LW0\
  He0Dp09z03z10z90zD0zG0uD0r90r50p30p00n00n00n00l00l\
  00i00i00g00g00g00n40uL0zc0ze0yg0ri0ll2en9ZpFSrMMuS\
  Fw_9yf3zm0zt0ca1FL704D00H0BRO_aqygluigpjeknafn_anV\
  YpUUpPRrNNrJJrGFuCBuA7w73w62wBJJF_00zH0zP8iVOcccci\
  rcpncUlM9ih0gh0`h0Xh0Th0Nh0Jh0Fh0cy0cy0hy0hy0hy0my\
  2my4my5my0my0my0zy0zy0zy0zy0zyDz_mzcmzhmzjmzomzrmz\
  vmzymzzmzzmvzmrzmnzmizmezm_zmWzzRzzNzzJzzFzz0zz0zz\
  0zz0zz0zz7zzEzzLzzTzzazzhzzrzBzz5zz0zz0zz0zz0zz5zz\
  9zzDzzGzzLzzPzzTzzXyzZtzc }

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=========================================