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Jan. 12, 2014: Hexapentabrot Jan. 11 Jan. 13 2014 FOTD Home
Rating A-7, M-6

hexapentabrot

Fractal visionaries and enthusiasts:  

Today's scene lies on the largest filament extending from the period-4 bud on the northeast shore line of the main bay of the large minibrot on the main spike of its parent Mandelbrot set, which is corrupted by Z^6 energies.  The scene lies very near the point where the filament changes from an apparent broad area of chaos to a thin jagged single line.

I named the image "Hexapentabrot" to point out that Z^6 Mandeloids come with only 5 large buds surrounding the central bay, when intuition would say there should be 6 buds to match the rings of 6 elements farther out, such as the Julia sets have.

The art rates a 7, as least as I see it, while the math checks in at a 6.  The math trick is not exactly new.

The calculation time of 1-1/2 minutes will almost fly by.  But it might be safer to remain on the ground by checking the image on the web sites.

Lots of clouds but a relatively mild temperature of 39F +4C made today quite unremarkable here at Fractal Central.  The fractal cats had nothing to say about the outside conditions, though they did speak out when their food was too slow in coming.  The fractal humans spent time discussing a few of the conspiracy theories presently circulating on the internet.

The next FOTD will be posted in the right time.  Until whenever, take care, and why is it so important that everyone believes in global warming when so very few are ready to make the financial sacrifices needed to slow it?

Jim Muth
jimmuth@earthlink.net


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

Hexapentabrot      { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MultiExp function=recip periodicity=6
  center-mag=-104.9372340850264/+0.8277172921039455/\
  1e+009/1/-81.25/0 params=6/60 float=y maxiter=1500
  passes=1 inside=0 logmap=150 mathtolerance=0.05/1
  colors=000JOKJPKKQKKRKKSKKTKKUKJVKIWKHXKGYKFZKE_LD\
  `MCaNBbOAcP9dQ8eR7fS6gT5hU4gV4fW4eX3eY3dZ3c_2b`2ba\
  2ab1`c1_e1_g0Zi0Yk0Ym4_i8`fCacGb_KcXOdUSeRWfN_gKdh\
  HhiEljApk7sl4vj1uh3te4sb5sY6rU7qR8kN9fJA`FB_BC_8DU\
  CGOAJN9MI8OG7O900700000EAKSFTeKVeNPfPKURFIS6PQ5VO4\
  cM3mK2rU1wU0sU1mM2iP2dS3`U3YX4U_4Rb5Od5Ui7_n8es9kw\
  AlqBlkCleCl_DmUEmOEmIFmCGm6GgU8aq1Vk7PfDJaJDXP7SVB\
  VYEY_I_aLbcPefSghWjjZllbooerqitslwuoywgut_qrSmpKin\
  DelCblB_lmNsUnHDd`Df_ChYCkXCmVCpUCrSCuRCwPCyOExQFx\
  RHxTIxUJxWLzX7zG6zJ5zM5zP4zR3zU3zX2z_`kjckifmiirif\
  wjcwkawlZwlXvmUunjtzmszoszqszsszuszwszutzttzrtzqtz\
  puznuzmuzluzkuzkuzkuzjtzjtzitzitzhtThtThtUgtUgsVfs\
  VfsWfsWesXesXdsYdsYdrYcrZcrZbr_br_br`ar`aqa`qa`qb`\
  qb_qc_qcZqcZqdYpdYpeYpeXpfXpfWpgWpgWohVohVoiUoiUoi\
  UojTojTokSnkSnlSnlRnmRnmQnnQnnUmcUm`Um`Um`Um`Um`Um\
  `UmaUmaUmaUmaUmaUmaUmbUmb }

frm:MultiExp   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }

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