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Jan. 6, 2015: Side of a Spiral Jan. 5 Jan. 26 2015 FOTD Home
  Rating A-5, M-8

side of a spiral

Fractal visionaries and enthusiasts:  

Today's image, which could use all the anti-aliasing it can get, is a side view of a two-armed Julia spiral in the area of Seahorse Valley.  When seen at today's angle, halfway between the Oblate and Rectangular orientations, the spiral shape totally vanishes, and is replaced by a series of straight, converging hairline arms.  The scene has been rendered with a skew factor of 20.5, though this is not necessary.

The name "Side of a Spiral" explains that in today's image we are looking at a four-dimensional spiral from the side.  The art rates a 5, since I did not really put much effort into the coloring.  The art rates an 8.  Who would ever guess that a spiral would look like this from the side.  The calculation time of 4 minutes will pass in half a flash.  And the flash can be eliminated by checking the web sites.

Light snow fell most all day here at Fractal Central today.  By the time the sun went down, about 2 inches, 5cm, of the powdery stuff had piled up on the ground, and was easily swept away by myself with a broom.  FL kept the coffee hot, since the outside temperature never rose above 19F -7C.  With even colder weather expected tomorrow, the coffee will probably stay hot.  The three fractal cats took turns watching the snow fall.

The next FOTD will be posted.  Until then, take care, and why do those who clamor for freedom of speech become so angry when something they disagree with is spoken freely.  I guess we're only free to speak those things that are considered politically correct.

Jim Muth
jimmuth@earthlink.net


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

Side_of_a_Spiral   { ; time=0:04:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrotSqr passes=1 logmap=-43
  center-mag=-0.0141593/-0.00529801/10/1/90/-20.47228
  params=45/90/0/90/-0.7504/0.014/-0.49957/0.00695/0\
  /0 float=y maxiter=16000 inside=0 periodicity=6
  colors=000WiXVgUTdRRaOQ_KOXHMUELSBJP8HM5GK2IL3JL4L\
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  e8Ad56c33b1Ac2Gd3Me4Sf4Zg5dh6ji7pi7cYPRMf7DyFBwN9u\
  U8sa6qh5op3mw2ku4ls6lr8lpAmoCmmEmkGnjInhKngLnfPoeT\
  pdXpc`qbdrbhrhfjmecrcXwbQucStcTrdUqdWpeXneYmfZlf`j\
  gaigbmkghgccc_Z`WVXSQUOLQKHMGCJC7F81D53C45B47A4994\
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  qZ_zddsaal__fXY_VWUSTNQRHNPALN4JL7KKAKJCLIFLHIMGKM\
  FNNEPNDSOCVOBXPA_P9_O8aP9 }

frm:SliceJulibrotSqr   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z*z+c
  |z|< esc }

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