pagetop 
July 9, 2012: Vague Recollection July 8 July 10 2011 FOTD Home
 Rating 8

vague recollection

Fractal visionaries and enthusiasts:

Today's image lies in the same area of a parent fractal that on the surface appears exactly the same as the parent of yesterday's image.  They both are everyday Mandelbrot sets.  But the formula of today's image is (-Z)^(2.00001)+C rather than the (-Z)^(2.0000001)+C of yesterday's.  This tiny change does little more than expand the width of the infinitely-divided main stem.

Today's scene lies in the divided main spike of its parent, just east of the large minibrot, though it lies a bit farther east than yesterday's image.  The color palette has been directly picked up from yesterday's image, with only a few registers changed.

Having a fractional exponent of Z, today's image is filled with discontinuities.  But the breaks are arranged around the central minibrot in such an orderly and symmetrical pattern that they are barely noticeable.

Despite the re-used colors, today's image rates an 8, at least in my opinion.

The name "Vague Recollection" came to mind when something about today's image reminded me of another image I had seen quite a while ago, but could not recall.  Since naming today's image however, I have remembered the earlier image, which is a scene in a 20-year-old computer animation named "Theology".  This animation is filled with extreme morphing representing mankind's changing ideas of God and religion.  One of the more impressive morphing sequences in that animation is when a dark gloomy cathedral-like interior changes into a brilliantly colored mosque-like interior.

The calculation time of a zippy 40 seconds will bring grief to no one.  And the finished image really is worth the loss of a precious 2/3 minute.  The web sites make the loss unnecessary.

Yesterday was a bit cooler than the day before here at Fractal Central, and today was another bit cooler.  It was still warm however, but the humidity was lower, making the temperature of 84F 29C feel cooler than it actually was.  The scenic blue skies dotted with puffy white clouds added psychological comfort.

The fractal cats, who have neither studied psychology nor watched clouds, found their comfort in the artificially cooled indoor air.  The humans, who do occasionally consider psychological problems, found comfort when the work went well.  The next FOTD will be posted in the near future.  Until whenever, take care, and how can we tell whether we have found *THE* long-sought Higgs boson particle or merely an imitation 'higgs-like' particle?  (And what's the difference?)

Jim Muth
jimmuth@earthlink.net


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

Vague_Recollection { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMiN center-mag=-1.7349056397\
  69034/+0.00001030834066302/7.94734e+010/1/-178.75/0
  params=2.00001/0/0/0/0/0 maxiter=950 periodicity=6
  float=y inside=0 logmap=114 mathtolerance=0.05/1
  colors=00000A00B00E10H25K3AN4FQ5KT6PW7U_8Yc9agAekB\
  ioClsAotDpzGszJtzMwzLuzKqzKmzKhvHbmFWcALU0BK04AA92\
  FI2KT2N`AP`JYXSfT`dVQbWFaY4kgLuqawaPpJCfCJXAQO9X0u\
  c3bZ5KUCKd9BX842P9Of5jz_rgDcfTfZMaEFYA8UuI44yq5jj6\
  Wc7HXBFrABj98c85XVx7PiCJVHDGM8S27L87FE78KEc_zvZZUU\
  f3HAIE8AK5lW6`U6PT7DRO8TJ6SF5RB3Qt18A5G94K83N2`55J\
  G6U87GHXB2K69Y_SRRRKJRDAQ0dWFUXCKU9BSbb9SQFHELDjDz\
  tC`ZHMIMJCDJCDI87H52I92IC3JF4JI5JM6KP7KS8KV9NYEP`I\
  ScMUfQX`UZlYaoacredqbep`fyZgoXhoVinSjnQjyOklMllKmk\
  HnkFojDpjBqi9qi7py3r2rp6ooAlnEimIflMdkQajUZiYWhaUg\
  eRfiOemLdpJeiLfcNgcPhcRicTjcUkcRkcOkcMkcJkcHkcElmB\
  lm9lm6lm4lm2lm2nm2pm2qm2sm2tm2vm2wm2ym2zm2sm2lm6em\
  CZmITmNVmOWmPXmPYmQZmQ_mR`mRamSbzSczTdzTbzPazL_zHZ\
  zDYz9Jz24z25z25z25z25z25z25z2zz2zz2zz8zzEzzKzzKzzK\
  zzFzzIzzKzzMzzOzzRzzTzzVzzXzzTzzQzzMzzJzzFzzCzz8zz\
  5zz2zz2zz2zz2zz9zzGzzNzzZ }

frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16 }

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