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April 6, 2014: Cozy Quadrilateral April 5 April 7 2014 FOTD Home
  Rating A-8, M-5

cozy quadrilateral

Fractal visionaries and enthusiasts:  

The formula behind today's image combines 2.475 negative parts of Z^(-1.05) with 0.275 negative part of Z^(-5.5), then adds (1/C) on each iteration to produce a parent fractal that consists of a hugely oversized near circular bay with two large buds on its west side and a large near-circular extra bay where its East Valley should be.  Today's scene is located in the action around this extra eastern bay.

The name "Cozy Quadrilateral" has little to do with the image except to point out the roughly four-sided semi-chaotic area surrounding the central minibrot, which lies nearly invisibly at the center.

The art rates an 8, helped by the slate gray features in the outer parts of the image.  The math rating of a 5 indicates that such scenes have been common in FOTD images for at least ten years.

The calculation time of 9-1/4 minutes is inexcusably slow, but relief from the resulting impatience may be found on the FOTD web sites.

Total sun prevailed all day here at Fractal Central, while the temperature reached a rather pleasant 55F 13C.  The fractal cats took full advantage of the sun, Nicholas on the shelf, Jasmine on the scratching post.  The humans, still pondering the world situation and our pseudo-freedom, passed the day preparing for the belated but inevitable blossoming of spring.

The next FOTD will likely be posted in 24 hours, but I am not a fortune teller, so this is no guarantee.  Until whenever, take care, and big brother knows what is best for us.

Jim Muth
jimmuth@earthlink.net


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

Cozy_Quadrilateral { ; time=0:09:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-3.216611489264438/+0.5748460602506118/\
  3.97213e+011/1/69/0 params=-2.475/-1.05/-0.275/\
  -5.5/0/0/0/0 float=y maxiter=5000 inside=0
  periodicity=6 mathtolerance=0.05/1
  colors=000hfcfdbecadb`ba_a`Z`_YZZXYXWXWVVVUUUTTTSS\
  SRQRQPQPOOOMNNLMMKLLIKKHMJGIIIMJHJJJMKLMMMONOPOQRQ\
  RSRTUSVWUWYVY_W_aYacZbf_dgafkdgkhiomlornsvqsztuzww\
  zwzzwzzwzzwzzrrzrrzmozmmzamzemzjmzkmzlmzmmlimmfmmc\
  mm`nmYnmVonSonPpnLqnIrnFroCqo9qo6po3po0oo2on4no6mq\
  8lsAkuCjwEixFhzHgzJfzLezNdzPczRczSbzUazWazY`z__za_\
  zcZzdZzbYzaXz`Wz_WzZVvYUvXUrUTrTSmRSmQNhOQhOJ`LF_L\
  GZH5TGESF0REBOD0PG7MB0NCA4A57CAFFBKHCPMDUUKZYLc_Lh\
  cMmfMrhNvjNzmOzpOzsOzvOzuOzlHtgGobFiYEdTDZOBUKAOG9\
  JC8D87846355555655855955A55C55D54F54G54H54J54K54M5\
  4N54OA8PFCQKGRPKRUOSZSTcWUgZUfYTfYTb_W_`YWa_TcbPdd\
  MefBSIBTJBUJAUKAVKAWLAXLAXLBWMCVNCUNDTODSPERPEQQFM\
  RGIR0ES0AT00T00U00U00U00U00U00ULEmMDZMCmLDYKdzJDYJ\
  EwIEYUUzGFXGFwFFXEUzDGXDGwDESDDmDCmDBmDAmD96D82F76\
  H79J6CL6FN5IP5LR4OT4RV3UX3XZ2_`2bb1ec1hb3ga5f`7e_8\
  d_AcZCbYEaXFaeRSfVVgZYhb` }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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