;     Date: Fri, 28 Mar 2014 10:08:55 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 26-03-14 (The Eighth Dimension [A-6,M-8])
;       Id: <1.5.4.16.20140328100907.226fb914@earthlink.net>
; ---------
; 
; FOTD -- March 26, 2014 (Rating A-6,M-8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is a simple scene deep in the northern branch of 
; Scepter Valley of the Mandelbrot set.  But this parent 
; Mandelbrot set is not your everyday Mandelbrot set.  It is a 
; slice down the middle of a four-dimensional HyperMandelbrot set. 
; As long as the real(p3) parameter in the generating formula 
; remains at zero, the parent fractal is the M-set.  But when the 
; value is changed, strange things begin to happen.  Tomorrow's 
; image will show the beginning of the strangeness.
; 
; The name of the image, "The Eighth Dimension", indicates that 
; the scene is a slice through an 8-dimensional Julibrot, which 
; will become apparent in the images to follow.
; 
; The artistic rating of a 6 is what the image itself is worth, 
; since despite the hype, it is simply a scene in the Mandelbrot 
; set.  The math rating of an 8 shows that some quite unusual 
; mathematical things are to come.
; 
; The calculation time of 6-1/2 minutes is rather slow.  Luckily, 
; the web sites can speed up things significantly.
; 
; Check the finished image at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; The day began with a snow flurry here at Fractal Central, which 
; dropped a full 1/2cm 1/4-inch of snow.  By late morning the 
; clouds blew away, leading to a sunny but blustery afternoon with 
; a high temperature of only freezing.  The fractal cats enjoyed 
; the afternoon sun on their shelf, while the fractal humans 
; wondered when the spring greenery would appear.
; 
; The next FOTD will be posted in 24 hours.  Until then, take 
; care, and become one with the numbers.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

TheEighthDimension { ; time=0:06:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 passes=1
  center-mag=-1.250229217708301/+0.01137634927677889\
  /6.174502e+010/1/-155/0 params=0/0/0/0/0/0/1e-100/0
  float=y maxiter=12000 inside=0 periodicity=0
  colors=000l6cl7_n8Wn9ToBPoCMoBJrAGo8Ck59j2Ii2Lg2Pg\
  2Kh6HjCGlKDoTAs_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\
  PFMMDIKAEH9CF69E46C35B24A038028027016004003003008C\
  6GbEOzObrNwfO0W00S30P70MB0IG0HM0FS1EZ2De3Cn4Av5Az4\
  Aj7AWBBIEBAME1SF0ZI1WF0UE1RD8PBGMAPNA`SDdVGg_IlcMn\
  fNrlRvpTztXzyZzzazzczkWvSPeCHS8DE6B54A03800S13nG4r\
  L7sNIvSUwXfzaalOZ`DZS5YT8YUCWUGWWKVYPWYTYZYzXmwOnw\
  IovCpv7rN3l2Ic3Mh7QmCUrMZvUcz`ezcizgmzkqzotzqzzpyo\
  nzgizEds4Yo3Wj2Vd2UZ1UU0SR3SN6SJASGESDHRAKR6OR3SS1\
  YS1`Q2eO5lN8rMBwMEzMGwOIvOKsPMrQNnRQlSRjSUgUVdVXbV\
  X`WZZWZZ_`__`W``VdcSgcRldOoeN```ScoIezDWn9MU6ED370\
  120000000000000000000000002004006OBPzlqzhqvdpn_oiX\
  rcUsYRsSOvMLwHIzCFz8Dz5Az4Bw4Ar3Bl2Be1C`0CW0DR0EM0\
  EH0FDAO7PW1ec2dU2bL2`D1Z61Y11P60IC0CK09W06e44r7Kw4\
  ez5az5Xw4Uw4Sv4Os5Ls7L3oN4rQ4sS4sT4sU4sW4sX4sY4r_4\
  ra3oa3oc3ne3nf3lg3jj4hl5f }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

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