;     Date: Mon, 04 Aug 2003 09:36:33 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 04-08-03 (Cosine-Square [6])
;       Id: <1.5.4.16.20030804093646.2a9fee5c@pop.mindspring.com>
; ---------
; 
; FOTD -- August 04, 2003 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; A number of years ago, a local auto dealer ran a series of ads 
; proclaiming that nobody has better cars and nobody sells them 
; for less.  The ads worked great until a second auto dealer 
; started calling himself Mr. Nobody. and took advantage of the 
; first dealer's advertising.  The clever second dealer won the 
; day by making something of nothing.
; 
; Today's image, which was created by the Mystic2 formula, 
; consists entirely of blank inside space, which in traditional 
; fractal rendering is nothing.  But that nothing has been turned 
; into something by the bof61 inside fill.  Like that clever auto 
; dealer, (and true mystics), I have turned nothing into something.
; 
; I named the image "Cosine-Square" simply because those two 
; functions are used in its creation.
; 
; It is an unusually complex image for one that consists only of 
; inside stuff.  The 4-way symmetry almost gives the impression 
; that a Mandelbrot midget lies at the center.  But don't bother 
; looking.  At a slightly deeper level, the apparent 4-8-16-way 
; symmetry breaks down into an awkward figure with 13 lobes, and 
; then the entire image goes flat blank.
; 
; Considering the image's assets and faults, I decided that a 
; rating of 6 would be best for it.  Its chief asset is the render 
; time, which is only a bit over one minute.  One of its faults is 
; the color palette, which uses only a few of the 256 available 
; GIF colors, and gives a rather muddy overall effect.
; 
; As always, those who choose not to render may pick up the 
; finished GIF image at one of the FOTD web sites at:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and at:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; Sunday turned questionable in a hurry.  The temperature reached 
; only 83F 28C, but just after noon a series of thunder-showers 
; moved in.  The rain was not unusually heavy, but it persisted 
; until sunset, and was enough to keep the fractal cats confined 
; to the indoors, sulking about their confinement and skittish 
; about the prolonged rumbling.  The evening treat of tuna eased 
; their nerves and disappointment.
; 
; Today is starting even worse than Sunday.  It's raining already. 
; As a result, I expect another sulky cat day.  Between showers, 
; I'll accomplish a few other tasks and find a few fractals, one 
; of which will appear as the next FOTD.  Until 24 hours from now, 
; take care, and don't get caught in a square cosine.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Cosine-Square { ; time=0:01:20.53--SF5 on a p200
  reset=2002 type=formula formulafile=jim.frm
  formulaname=Mystic2 function=cos passes=1
  center-mag=0/0/8.226655 params=-6.3/9.2/-3.4/-1.4\
  /-7.1/6.2 float=y maxiter=95 inside=bof61
  logmap=yes periodicity=10
  colors=000UoroMGgaZ7F5HSLRU`iAzfLwdWuafrzzzXcmcmkw\
  clcpzcvBJNBSbW7KXHWcAAjChrKkqSnpMX_Tgh_3icrGbqQaqZ\
  `qgSlZVndYpjIvfooUgpeklmeooVSvXZtYdsZkq84iSvJVtVYr\
  eLYjTgmsY8ldNeka3Lir`2meFhiScmd8kSMnda`AfsHMULTe`m\
  WhfflwBmqMnkXoegpr4PhTbv0ZcknOPRUccdkZangFhcadJQ8z\
  VVu5nNLpaPguTksXnq60sEErLRqTdpXUmZeo7Iaus8mrNfqapa\
  LkeTgi`cmhx6NqIVkUaeeiU0zXRuXZ9YeOZkbl_KfdQciZamgY\
  m7ZoU7ZwHetRkrvnIpoRjp_dqhB5eKMiSamDuILsUTreXmSZod\
  IGPOTZUegO4fRHiUTkXenmRRfdcUYMXgahRIYMoZUpZap_ipq`\
  vTq7hd459488XMVf_wk_tnSW6WfUTUuOmDRnNUoXXpfNWgRajU\
  flXlnV9xXLvYWtZfr7_FFdPMhYTmgG_3NeKUk`oAiiPldcnmlC\
  DWJJP2FREBTQ8VaDcfIlkei8SbFEXMOZRX_Wfa`oberUitMmvE\
  q_VcDjQJmTPpVVsY_u_t8Yz_wsdulhsemqFBcQXjhADIJYNSbR\
  `gWilawD`tXohtikrdnqje6ghIdkUanesV0aOE`bYG38LGKQTV\
  VeeNdWRhaUkfXnk_yD_vR_scnq`iqfdqkzrMs_bndfihidmmYE\
  rZSq_dpm9ZhOdcbj9hyGkvNmt }

frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100 }

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