Sorry, that should be "Bird of Prey"... & now that I've done my homework, I see that this flip-symmetrical version isn't new.

Tony Hanmer

On 24 July 2012 10:59, Tony Hanmer <a.hanmer@gmail.com> wrote:
Hi all,

I've been playing with the Burning Ship fractal type in Fractint.  I changed z^2 to z^3 and came up with a version which has x-axis symmetry, though it needs rotating 45 degrees.  Is this the "M-set" of the Burning Ship type?  Has it been found before?  The whole fractal reminds me of a Klingon Bird of Pray, by the way.

Tony Hanmer
Tbilisi, Georgia

Begin .par file
BShip4             { ; 45 degrees & symmetry
                     ; Tony Hanmer 23/7/2012
                     ;  Fractint Version 2099 Patchlevel 8
  reset=2099 type=formula formulafile=T-frms.frm
; paste the below formula (minus the "frm:") into a new *.frm file if you like,
; & remane T-frms.frm to that .frm name.
  formulaname=BurningShip4 passes=1
  center-mag=-0.108695/0.108695/0.4303211/1/44.999999999999993 float=y
  maxiter=250 inside=fmod sound=off
  colors=000<8>KN_MPcOSg<3>Xaw<9>CawA`w8`w<3>0`w<9>HgRJhOLiK<3>Sl7<9>ks2ms\
  2ot2<2>uv0ww0wu1<8>we9wcAwaB<3>wVF<9>ybFycFydF<3>zhF<3>`ZBVWAOUA<2>5M7<5\
  >Nd3Qg3Tj2<3>ew0<12>DJ0BF08C0<2>230000000<118>000
  }

frm:BurningShip4  { ; Tony Hanmer 23/7/2012
  z = (0,0):    ; x-axis symmetry at last, though at a 45-degree angle:
  z = abs(z)  ; the "M-set" of the Burning Ship fractal?
  z = z * z * z - pixel ; instead of z^2, z^3.
  |z| < 100
 }
End .par file