;     Date: Fri, 01 Oct 2010 18:49:22 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 02-10-10 (Primary Elephant [7])
;       Id: <1.5.4.16.20101001184925.103f394a@pop.mindspring.com>
; ---------
; 
; FOTD -- October 02, 2010 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; In yesterday's FOTD, I commented that there were upside-down 
; elephants in the detail under the arch of hollowed-out outline 
; elephants.  In today's image I pick out and concentrate on the 
; primary upside-down elephant.  The name "Primary Elephant" 
; identifies the pachyderm that marches proudly before us in 
; today's image, with its sub-elephants and their sub-sub-ele-
; phants lined up in its back.  I have never before given as much 
; prominence to a single so-obviously fractal elephant!
; 
; As all Mandelbrot enthusiasts know, each elephant in East Valley 
; stands guard over its particular Mandelbrot bud.  So where is 
; the bud that is being guarded by the elephant in today's image?
; 
; Notice the narrow brilliant horizontal band across the lower 
; part of the image.  The broad dark horizontal area between this 
; band and the brilliant white area behind the elephant's upper 
; parts is actually the bud, or what is left of it.  The bud has 
; been stretched to infinity by viewing it in the Rectangular 
; direction.
; 
; Mandelbrot features are compact in the C planes, but extend to 
; infinity in the Z planes.  The Rectangular plane consists of the 
; compact imag(c) dimension plus the infinite imag(z) dimension, 
; resulting in an open circular Mandelbrot bud stretched in one 
; direction to infinity, which appears as an infinitely long black 
; open stripe with parallel sides.
; 
; Although the image is the third visit to the same part of the 
; East Valley complex, the central elephant is so well defined 
; that I rated the image at a 7.
; 
; A slight drawback is the calculation time of almost 11 minutes, 
; which is long enough to give impatience a chance to raise its 
; fickle head.  But impatience may be kept at bay by viewing the 
; finished image on the FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The heavy rain moved out and the sunshine returned here at 
; Fractal Central on Friday, while the temperature took a drop to 
; 70F 26C.  The fractal cats spent their afternoon lounging in the 
; sun on the kitchen floor.
; 
; My day was relatively slow.  A bit of water did seep into the 
; fractal basement on Thursday night, but FL with her mop quickly 
; took care of that.  The next FOTD will be posted in 24 hours 
; unless an antiquing expedition develops on Saturday, when the 
; FOTD might be delayed.  Until whenever, take care and befriend a 
; lonely fractal.
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

Primary_Elephant { ; time=0:10:55.81-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=t
  center-mag=-0.011023301/+0.168393972/2097/0.1113/\
  90/69 params=90/0/0/90/0.28/0/0.5/0/2/0 float=y
  maxiter=32767 inside=0 logmap=10 periodicity=6
  colors=000kpThpVeoWcmYak__iaYgeWeiUdiRchSbhQakObnM\
  cqKctIKwHLzDMzANz6Oz3Pz2Qz2Nk2Om2Po2Qq1Rl1Sm1Tn1Up\
  1Vq2Ws2Xu2Yv2Zw3_x3`y3ax3bw4bw4bu4au4`v5_v5_t5_r5_\
  p1_n5_m9alDdkHfkLijPkjTmiSojNoiKneJlbHjZIhUJfPKdKL\
  dDMcDNcDNcDQbDUbDZbDcaDhdDmhDrmDvrDzvDzzDzyDzwDzwD\
  zvDzuGzuIzuLzuNzuQzmSzmVzmXzm_zmazmdTMzTLzSKzSJzRI\
  zRHzRGzTHzzI0zJ0zK0zL0zM0zN0zN0zO0zP0dQzfRzgSzhTzi\
  QziTzcWzYYzS`zMczGezAhz8iz5jz9izCizFizIizLizPizSiz\
  VizYiz`izehzcizbjzakz`lzZmzYnzXozWpzVqzTrzSszRtzQu\
  zPvzmwzmxzmyzmzzmzzmzzmzzmzzmzrmzzmzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzKzzLzzMzzNzzOzzPzzPzzQzzRzzSZzT`zUazVczWdzWe\
  zXgzYhzZjz_kz`mzanzZtzaozcjzfezh`zkWzmRzoNzqTzsYzu\
  czvhzslzppzmtzjxzgzzdzzczzbzzawz`tz_qzZnzYkzXhzWez\
  VbzU_zTXzSUzRRzQOzPLzPGzOIzOKzOMzOOzOPzORzOTzNVzNX\
  zNYzN_zNazNczKazNdzPgzSjz }

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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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