Fractal visionaries and enthusiasts:  

It's a new day, a new month, a new year and a new view of an old friend, Seahorse valley of the Mandelbrot set.  The outer border of the fractal is the familiar Julia set of the valley, while the brilliantly colored inner features are the Mandelbrot valley itself, twisted and stretched by the strange angle of the slice.

I named the image "New View 01" because I will be posting many more new views of old friends in the upcoming month.

The art rates a 7 because I was lucky with the coloring.  The Fractint program did most of the work.  The math rates an 8 because it is the start of a venture into new aspects of familiar 'objects.

The calculation time of 3 minutes makes life easy.  Checking the online web sites makes life even easier.

Total sun and a high temperature of 39F +4C here at Fractal Central today brought a cheery start to the new year.  The fractal cats soaked up as much sun as possible, though the window shelf is too small to accomodate three cats at the same time.  A new larger shelf might be needed.  The fractal humans, having survived the holidays, settled down to looking ahead at what might be accomplished in the 364 days remaining in the year.

The next FOTD will be posted in a reasonable time.  Until reason prevails, take care, and see you soon.

Jim Muth
jimmuth@earthlink.net


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

New_View_01        { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrotSqr passes=1
  center-mag=0/0/0.8820956 params=88/88/88/90/\
  -0.75/0/0/0/0/0 float=y maxiter=15000 inside=0
  logmap=yes periodicity=6
  colors=00054L65K76K87K98K99MAAOABQ9CS9EU9GW9IY8K_8\
  La8Mc8NeAPcBQaDS`ETZGVYHWWIYVKZTL`SNaQOcPQdNRfMSgK\
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  `L6aO7aQ9bTAbVBcXDc_EdaGddHefIehKfkLfm7vnFnoMfoU_o\
  `SohLooDoy0pv6msCjpIgnJdlKajLZhMWfNTdNRbMQ`IM_DJY9\
  F_3AY4BX5CW6CV7DT7ES8ER9FQAGPBGNBHMCILDIKEJJFKHFKG\
  GLFHMEIMDJNBJOAKO9LP8MQ3PR5NQ7MQ9LQBJQDIQFHQGGQIEQ\
  KDQMCQOAQQ9QS8QT7QU9PVAPWBPXCPYDPZFP_GP`HPaIPbJPcL\
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  qaYqbWpdUpeTpfRphPpiOpkMplKpmJolInkHmjGmjGliFkhEjh\
  EjgDifChfCgeBgdAfdAdc9ba8a_8_Y7YW6ZV3ZV5ZV6_W8_Y9`\
  _B`aC`cE_eF_gHZhIZiKYjLYjMYjMWkLWkKWkKVkJVlJUlIUlI\
  UlHUmHUmGUmGVmFWmEYnE_oDapDdrCgsCitBkuBmvAowAqx8ty\
  7wz6zz5zz3zz2zz1zz0zzTzzU }

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=========================================