pagetop 
July 30, 2012: Triangular Entity July 29 July 31 2012 FOTD Home

triangular entity

Fractal visionaries and enthusiasts: 

Today's image is a quickie found in a hurry to bring the FOTD up to date.  It is a Julia set of a valley of the Z^(1.5)+C Mandeloid as calculated by the MandelbrotBC1 formula 15 levels up the hyperladder, with the floor function in effect.

Since the image is such a hasty one, I could give it no official rating, though if I were to rate it, a rating of a 6 would be about right.  The colors are consistent with the deep blues of the fractal artistic period I am currently going through.

The name "Triangular Entity" refers to the series of brilliant but blatantly inconsistent triangles down the center of the large fractal object, which might be some undersea creature crawling along the sea floor.

The calculation time of one minute even will pass a little slower than anticipated.  The unusually dark top part of the frame will delay the build-up of anticipation.

At this point I should add that the entire series of BC formulas was conceived by Andrew Coppin.  (Is he still on the list?)  My part in the BC series amounts to little more than tweaking.

We experienced another near perfect day here at Fractal Central today, with a temperature of 88F 31C and skies straight from the Caribbean.  Only the humidity, which was a little too high for total comfort, kept the day from being absolutely perfect.

The fractal cats had a quiet day most of the time, though Cassie began swearing at Nicholas when she had too much catnip.  The humans accomplished the usual commercial work without incident.  When the trap under the kitchen sink sprang a leak, we repaired it with duct tape.  The next FOTD will be posted whenever it is.  Until whenever, take care, and maybe the ghosts of the dead that are so widely reported are the same entities as the space aliens supposedly visiting earth in UFO's.

Jim Muth
jimmuth@earthlink.net


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

Triangular_Entity  { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC center-mag=0.240745/0.0073673/\
  1.041667/1/5/0 params=1.5/0/15/0/-0.2492/0.0617/0/0
  float=y maxiter=1500 inside=bof60 logmap=yes
  colors=00000E00G00I00K00M00O00Q00T00W13Z27b4Bf6Fj8\
  KnAOrBUtDZuFbuHevJivLlwMowRqwVrwZrwbswftwjtwnuwrvw\
  vvwrutourkuphumeukauiZufVtdStbPt_LtYItWEtTBtR8tPEo\
  TKjWQfZWaa`XdfTglOjrJmwFpylYx_lxOzwTywYxwbxwfwvkvv\
  pvvuuvyurxnoxgkw`hwUevNavGZu9Wu2YmA_fH`_ObTVcMaeLc\
  fKdgJeiIgjHhkHimGknFloEmqDorDpsCquBsvAtw9ux9vuCusE\
  upGunIukKtiMtgOtdQtbSs_UsYWsWYsXXpYWnZVl_Uj`UhaTfa\
  SdbRacQ_dQYePWfOUgNSgNQbSPZWOV`ORdNNiMJmMFrLBvK7zK\
  AxLDvLFtLIrMLpMNnMQlMTjNVhNYfN_eNWbdVacU`bU_bTZaSY\
  aSX`RW`QW_QV_PUZOTZOSYNRYMQXMQXVKPcFIl9Bu44p75l96h\
  B7cE8_G9WIASKAROEQSIPWLO_PObSUPhZBx`Tsainbfoccoc`p\
  dYpeVqeTqfQqgNrgKrhHsiEsiCsjCrkCrlBqmBqnBpoBppBoqB\
  orBnrBnsAms9ls9kt8kt8jt7it7iu6hu6gu5gu5fv4ev4ev3dv\
  3cw2cw2bw1aw1at4`r6`p8_nA_lC_jEZhHZfJZdLYbNY`PXZRX\
  WUXUWWSYWQ_WOaVMcVKfUIhUGjUElTCnTApT9mS9kR8iQ8fQ7d\
  P7bO7_N6YNEdPAfR6hT3iU2eX }

frm:JuliaBC   { ; BC formulas 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=========================================