;     Date: Sat, 26 Feb 2005 09:28:17 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 26-02-05 (Tessellation [10])
;       Id: <1.5.4.16.20050226092844.2a67ef62@pop.mindspring.com>
; ---------
; 
; FOTD -- February 26, 2005 (Rating 10)
; 
; Fractal visionaries and enthusiasts:
; 
; The rating of today's image is no typo.  I feel it is actually 
; worth a 10, making it only the second FOTD image to achieve this 
; supreme rating.  Not only is it one of the most unusual fractal 
; images I have yet seen, everything about it excels.  The 
; coloring is excellent; the mathematical interest is excellent; 
; the uniqueness is excellent.  In short, the image is so close to 
; perfection that when I considered its minor faults, the rating 
; still rounded off to an actual 10.
; 
; The name "Tessellation" was inspired by the branch-like arms in 
; the upper half of the image, which appear to have been covered 
; with a tile mosaic.  By contrast, the lower half of the image 
; consists of a carnival-like riot of brilliantly colored bits and 
; strips of fractal debris.  The dividing line between the upper 
; half and lower half is extremely sharp, yet the features still 
; appear continuous across the divide to some degree.
; 
; The image was created by the formula (-Z)^1.2*(C^0.1)+C, which 
; is the same formula that created the 'No_Cigar' image of Feb 24. 
; In today's image I picked a point near the northern shoreline of 
; the main bay of the parent Mandeloid, but still located some 
; distance offshore, and calculated an almost-Julia set rotated 
; only 0.2 degree from the Julia direction.
; 
; When this open figure is rendered with the 'inside=0' option, it 
; is blank.  Most of the active inside fills work wonders with it 
; however.  I chose the 'inside=bof61' option for today's image, 
; but the other inside options are well worth a try.
; 
; The render time of 10-1/2 minutes is well within reason for such 
; an outstanding image.  For extra convenience, the completed GIF 
; image has been posted to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; Limited sun, a temperature of only 36F 2C, and snow-covered 
; ground, kept the dynamic fractal cats safely inside all day 
; Friday here at Fractal Central.  They did venture briefly onto 
; the porch to check conditions, but turned back inside before the 
; door was closed, to spend the rest of the afternoon on their 
; comfortable shelf by the window.  Today is starting about the 
; same as yesterday.  I expect the duo to have a similar day.
; 
; For me the work is light, but fractal lady is thinking about a 
; browsing trip to one of the local antique and collectible 
; emporiums.  Maybe seeing some of the old stuff people have 
; thrown away will give me a few new fractal ideas.  The next FOTD 
; will not rate as high as today's, but it will appear in 24 
; hours.  Until then, take care, and don't be disappointed.  Some 
; day we might find another FOTD that rates a 10.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Tessellation { ; time=0:10:31.42--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=multXYZWcompjb-min function=flip/ident
  passes=1 center-mag=0.343582/0.0348611/0.8796844
  params=89.8/90/1.2/0/1.1/0/0/0/0/0.814 float=y
  maxiter=1000 inside=bof61 logmap=yes periodicity=10
  colors=000P0zK0zk0WzW0W00z00W00s00Q00S02U03W05Y06_\
  09a0Dc0He0Kg0Ni2Rk5Um9XoA`qDdtHhvInuSwmbzhkzcqzduz\
  dxzdyzdzzfzxfztfzqfznhzihzfhzchz`izWizSizPizMhzKfz\
  IfzHdzFdzDczCcxAbv9`t6`q5Zp3Zm2Xk0Xh0Wf0Wd0U`2SW9R\
  SFPNMNKSMFZKCcMFdMIdMKdMNdMRdNSfNWfNXfN`fNcfPdhPhh\
  PkhPmhPphPqhWfcbX`hNWmDSs3Ny0Kz0Hv5MnPRfhWZz`RzcRz\
  WRzNRzFRz6Rz0Rz0Rz0Sz0Uz0Wv2Xq6ZmD`hIbcPcZUdU`fPdh\
  KkiFp`IdRMWINK9RA0U00W00X00X00Z02Z03`06`29b3Cb5Fc6\
  Hc9KdCMdDPfFRfHUhIWhKSfMPdMMcMIcMFbMC`N9ZN6ZN3XN0W\
  N0UP0UP0SP0RP0RP0PR0NR0MR0MR0KR0IR0HR0HR0FS0DS0CS0\
  CS0AS09S06S06S03S02S00S00S00S00S00S00S02`CIfPZm`ns\
  UhpNbmHWiAPf5IcAWsDhzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\
  zmzzmzz0zz0zz0zz0zt0xq0vp0tn0sm0qk0pi0nh0mf0kd0hc0\
  fb0d`0cZ0bX0`W0ZU0XS0WR0SP0000RN0PM0NK0MI0KH0IF0HD\
  0FC0CA0A909606505303202000000000000000000000P00S20\
  W60ZD0bI0dP0hW0kS2cf2qk3z }

frm:multXYZWcompjb-min {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5,
q=(c^(p3-1)):
z=(-z)^(p2)*(q)+c,
|z| < 400 }

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