The map suggests heat and flame. Fire-along with air,earth, and water one of four elements to the ancients.
Ready made at http://maxitersfractalfollies.blogspot.com.
Thermal Emission { ; fract510.gif
; blank
; calctime 0:02:00.94
; created Nov 12, 2010
; Fractint Version 2004 Patchlevel 10
reset=2004 type=formula formulafile=kerrym.frm
formulaname=range-y-3_jul center-mag=0.127469/0.618401/13.64778
params=0.5/0.5/4/1/1/1 float=y maxiter=1500 inside=0 decomp=256
periodicity=0
colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\
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}
frm:range-y-3_jul { ; Kerry Mitchell 23jan98
;
; colors Julia set by real part of iterate, only when
; imaginary part of iterate falls in certain range;
; range specified in terms of c
; use decomp=256
;
; p1 = Julia parameter
; real(p2) = bailout (try 4)
; imag(p2) = decomposition scale factor (try 16)
; real(p3) = center of range (try 1)
; imag(p3) = width of range (try 0.1)
; center of range is multiplied by imag(sqr(sqr(c)+c)+c)
; calculation done on variable zc, z used for coloring
;
zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1
angle=0, fac=imag(sqr(sqr(c)+c)+c)
lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac
if (hi<lo)
temp=lo, lo=hi, hi=temp
end if
:
;
; iteration
; if imaginary part of iterate falls into range,
; scale real part into decomp angle
;
iter=iter+1, zc=sqr(zc)+c, r=imag(zc)
if ((r>lo)&&(r<hi))
angle=scale*real(zc)
end if
;
; bailout--escape and maximum iterations treated the same
; set "iteration done" flag (iter=-1)
; decomposition method will color according to last time
; imaginary part of iterate was within range
; if iterate was never in range, angle was initially set
; to 0, so decomp with use color 0
;
if ((|zc|>maxr)||(iter==maxit))
iter=-1
z=cos(angle)+flip(sin(angle))
end if
iter>0
}
Roger Alexander