;     Date: Fri, 21 May 2010 23:57:03 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 22-05-10 (Lost in Hyperspace [6])
;       Id: <1.5.4.16.20100521235810.2a1fb0d8@pop.mindspring.com>
; ---------
; 
; FOTD -- May 22, 2010 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is a scene in an abstract four-dimensional object 
; known as the Z^2+C Julibrot.  It is not a scene in the Mandel-
; brot set, nor in one of the perturbed M-sets.  Neither is it 
; a part of any Julia set.  True, it resembles a Julia set of the 
; East Valleys of minibrots, but only one single line of it is 
; part of any Julia set.
; 
; Actually, today's image is a hybrid.  In one direction it has 
; Mandelbrot characteristics; in the perpendicular direction it 
; has Julia characteristics.  It lies in the orientation I have 
; named the Rectangular, which is defined by the imag(z) and 
; imag(c) axes.
; 
; The image, which has been generously stretched and skewed, lies 
; in the East Valley complex of the large minibrot on the main 
; spike of the M-set, a short distance in the plus-imag(z) direc-
; tion from the M-set itself.
; 
; The rating of a 6 is about what the image is worth, (IMO).  The 
; name "Lost in Hyperspace" might be the title of a sci-fi series, 
; but it actually describes the location of today's scene.
; 
; The calculation time of 1-5/6 minutes is brief by any standards. 
; Equally brief is the time required to surf out to the FOTD web 
; site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; where the finished image may be viewed in relaxed comfort.
; 
; A hazy sun and temperature of 86F 30C made everyone happy here 
; at Fractal Central on Friday.  The fractal cats were especially 
; happy, though they still kept a watchful eye out for any stray 
; cats that might have wandered into the yard.  The activity 
; around a hawk's nest in a nearby tree also attracted their 
; attention.
; 
; My day, and FL's day as well, were satisfactory.  There is a 
; 90-percent chance the next FOTD will be posted in 24 hours, 
; which means there is a 10-percent chance it will be late.  Until 
; whenever, take care, and if you want to know the meaning of 
; existence, check your fractals.  The answer might lie hidden 
; there.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Lost_in_Hyperspace { ; time=0:01:50.17-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=+0.000000105\
  71810928/-0.09620033683075102/1.169683e+009/0.2073\
  /94.7415060222973153/84.1664349416200679 params=90\
  /90/0/90/-1.749996/0/0/0/2/0 float=y maxiter=3300
  inside=0 periodicity=6 mathtolerance=0.05/1
  colors=000DNUFMPGKLIIHKHDQF9XD5bC1iG2pK2qO2nS2kM3g\
  73d63a53b44d34f24g24h29h2Di2Hi2Mj2Qj2Uk2Yk2bl2fl2j\
  n0ll2nk4mj5li7jh9igAhfCfeEedFdcHcbJaaK``M__OYZPXYR\
  WXTUWUTVWSOzXUXRVYQWZPX_OY`NZaMZaL_bK`cJadIbeHcfGc\
  fFdgEehDfiCgjBhkAhk9il8jm7kn6lo5mp4mp45KAFRIOYPYdW\
  islfkbdcTbXJ`P9ZI0`J2aK4bL5cM7dN9eOAfPCgQDhRFiSHkT\
  IlUKmVMnWNoXPpYQqZSr_Us`VtaXxdZubYsaXp`WnZVlYUiXTg\
  WSeURbTQ`SPZROXTMWVLVXKTZJS`IRbHQdGOfFNhEMjDKlCJnB\
  IpAHr9Ft8Kv7Px6Uy5Zw8cuBhtEmrGrpJvoMzmOzlRzjUzhWzg\
  Zzeazcczbfz`iv_krblmdnhgoccNUcVUcaUciShQTmUTrYTvaU\
  zeUziUzmHzpJzpKzpLzpNzpOzpP`pRcpSepTgpNWHOXKOYNPZP\
  P_SQ`UQaXRbZRcaShdSmfTriTvkUznk4hi9igEjeIkcNlaSm_W\
  nY`oWepZFaXNeWViVbm9ZoKdp`1CNFJQQVS_e9XkBYlCZlD_lF\
  `mGamHamJbnKcnLdnNeoOeoPfoRgpShpTip_wvZvuZuuZuuYtt\
  YstYstYrtXrsXqsXpsXpsWorWorWnrWmrVmqVlqVlqVkqUjpUj\
  pUipdSd`Yh5Wm7Ui8SeARaCPY }

frm:SliceJulibrot4   {; 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(p5)+c
  |z|<=9 }

; END PARAMETER FILE=========================================
; 
; 
; 
; _______________________________________________
; Fractint mailing list
; Fractint@mailman.xmission.com
; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
;