Hi,
the title of the first image is taken from James Taylors first album,
which came out 1966.
Greetings,
Al.
----------------------------------start-frm-----------------------------
FRM:Multifractal_9 { ; Albrecht Niekamp 170903
;p1 (spider)julia-seed
;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3
; 0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider
; input2 : 2digits_many-mods 2digits_phoenix 2digits_spider
; 5digits_reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp
;imag(p2)(-) 5digits_colour(bailout) number
; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees
;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3
;imag(p3) shape : factor (fn1), 5digits_colour4 5digits_colour5
;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in
;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in
; 5digits_factor1 (fn2) 4digits+fract_border1
;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in
; 5digits_factor2 (fn3) 4digits+fract_border2
;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in
; 5digits_factor3 (fn4) 4digits+fract_border3
;fn(1) shared by many-mods+bees
;
da=real(p2)
dd=trunc(da)
da=round((da-dd)*100000000000)+11111
dd=dd+11111
d=trunc(dd/10000)
dd=dd-d*10000
d3=(d==4)+(d==5)+(d==8)+(d==9)
d4=d3==0
vb=d>5
sc=d==2
mo=d==6
px=d==7
ab=px+(d==3)+(d==5)+(d==9)
d=trunc(dd/1000)
dd=dd-d*1000
ex1=d>1
sc1=d==2
mo1=d==6
px1=d==7
v1m=mo1+px1
v1j=d>7
dd1=v1j+(d==4)+(d==5)
ab1=px1+(d==3)+(d==5)+(d==9)
d=trunc(dd/100)
dd=dd-d*100
ex2=d>1
sc2=d==2
mo2=d==6
px2=d==7
v2m=mo2+px2
v2j=d>7
dd2=v2j+(d==4)+(d==5)
ab2=px2+(d==3)+(d==5)+(d==9)
d=trunc(dd/10)
ex3=d>1
sc3=d==2
mo3=d==6
px3=d==7
v3m=mo3+px3
v3j=d>7
dd3=v3j+(d==4)+(d==5)
ab3=px3+(d==3)+(d==5)+(d==9)
d=dd-d*10
ex4=d>1
sc4=d==2
mo4=d==6
px4=d==7
v4m=mo4+px4
v4j=d>7
dd4=v4j+(d==4)+(d==5)
ab4=px4+(d==3)+(d==5)+(d==9)
;
mm=trunc(da/1000000000)
da=da-mm*1000000000
ph=trunc(da/10000000)/100
da=da-ph*1000000000
sp=trunc(da/100000)/100
da=da-sp*10000000
d=trunc(da/10000)
ex0=d>4
da=da-d*10000
d=d-5*ex0
ir0=(d==3)+(d==4)
d=trunc(da/1000)
w1=d>4
da=da-d*1000
d=d-5*w1
rs1=(d==2)+(d==4)
ir1=(d==3)+(d==4)
d=trunc(da/100)
w2=d>4
da=da-d*100
d=d-5*w2
rs2=(d==2)+(d==4)
ir2=(d==3)+(d==4)
d=trunc(da/10)
w3=d>4
da=da-d*10
d=d-5*w3
rs3=(d==2)+(d==4)
ir3=(d==3)+(d==4)
d=round(da)
w4=d>4
d=d-5*w4
rs4=(d==2)+(d==4)
tt=ex1+ex0+ex2+ex3+ex4
;
d=real(p3)
dd=trunc(d)
da=(d-dd)*10000000000
pp=trunc(dd/10000)
ba1=dd-10000*pp
ba2=trunc(da/100000)
ba3=da-100000*ba2
;
d=imag(p3)
sfac=trunc(d)
da=(d-sfac)*10000000000
ba4=trunc(da/100000)
ba5=da-ba4*100000
;
d=real(p4)
ofac=trunc(d)
da=(d-ofac)*10000000000
bh=trunc(da/100000)/10
bl=(da-bh*1000000)/10
bs=bl/2
;
d=imag(p2)
t=d<0
if (t)
d=-d
endif
dd=trunc(d)
da=round((d-dd)*10000000000)
d=trunc(dd/10000)
dd=dd-d*10000
bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5)
d=trunc(dd/1000)
dd=dd-d*1000
bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5)
d=trunc(dd/100)
dd=dd-d*100
bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5)
d=trunc(dd/10)
dd=dd-d*10
bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5)
d=round(dd)
bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5)
;
d=da
p0=trunc(d/100000000)/10
d=d-p0*1000000000
p6=trunc(d/1000000)/10
d=d-p6*10000000
if (t)
p6=-p6
endif
p7=trunc(d/10000)/10
d=d-p7*100000
p8=trunc(d/100)/100
d=d-p8*10000
p9=d/100
;
d=imag(p4)
mi1=trunc(d)
da=(d-mi1)*100000000000
d=trunc(da/10000000000)
bt1=d>6
da=da-d*10000000000
d=d-5*bt1
dt1=d>1
iv1=d==3
fac1=trunc(da/100000)
da=da-fac1*100000
bo1=(da/100000)/10
;
d=real(p5)
mi2=trunc(d)
da=(d-mi2)*100000000000
d=trunc(da/10000000000)
bt2=d>6
da=da-d*10000000000
d=d-5*bt2
dt2=d>1
iv2=d==3
fac2=trunc(da/100000)
da=da-fac2*100000
bo2=(da/100000)/10
;
d=imag(p5)
mi3=trunc(d)
da=(d-mi3)*100000000000
d=trunc(da/10000000000)
bt3=d>6
da=da-d*10000000000
d=d-5*bt3
dt3=d>1
iv3=d==3
fac3=trunc(da/100000)
da=da-fac3*100000
bo3=(da/100000)/10
;
if (d4)
z=0
if (vb)
if (mo)
c=0.4*log(sqr(pixel^mm))
else
c=pixel
z=pixel
endif
else
c=pixel
z=pixel*sc
endif
else
c=p1
z=pixel
endif
t=0
bo=|z|
p=pp
z0=p7
zold=(0.0,0.0)
cb=p9
ba=bb0
:
if (tt)
t=t+1
if (ex0)
ex0=t<mi1
if (bo>bs)
u=2*(fn1(t/sfac))
ex0=0
if (ir0)
t=0
endif
if (d4)
z=z*u
if (mo)
c=0.4*log(sqr(pixel^mm))
else
c=pixel
endif
else
z=pixel
cb=p9*u
c=p1*u
p=pp*u
endif
tt=tt-1+ex0
endif
elseif ((ex1)&&bo>bl)
if (bo<bh)
d3=dd1
ba=bb1
ab=ab1
ex1=0
tt=tt-1
if (w1)
u=2*(fn2(t/ofac))
else
u=1,0
endif
if (ir1)
t=0
endif
if (d3)
vb=v1j
if (rs1)
z=pixel
cb=p9*u
c=p1*u
p=pp*u
else
c=p1
z=z*u
cb=p9
endif
else
vb=v1m
if (rs1)
c=z*u
z=pixel*(sc1+px1)
z0=p7*u
ph=ph*u
else
c=z
z=z*u
endif
if (mo1)
c=0.4*log(sqr(pixel^mm))
endif
endif
endif
elseif (ex2)
if (dt1)
if (iv1)
d=bo>bo1
else
d=bo<bo1
endif
if (bt1)
d=d+(t>mi1)
endif
else
d=t>mi1
endif
if (d)
ab=ab2
d3=dd2
ba=bb2
ex2=0
tt=tt-1
if (w2)
u=2*(fn2(t/fac1))
else
u=1,0
endif
if (ir2)
t=0
endif
if (d3)
vb=v2j
if (rs2)
z=pixel
cb=p9*u
c=p1*u
p=pp*u
else
cb=p9
c=p1
z=z*u
endif
else
vb=v2m
if (rs2)
c=z*u
z=pixel*(sc2+px2)
z0=p7*u
ph=ph*u
else
c=z
z=z*u
endif
if (mo2)
c=0.4*log(sqr(pixel^mm))
endif
endif
endif
elseif (ex3)
if (dt2)
if (iv2)
d=bo>bo2
else
d=bo<bo2
endif
if (bt2)
d=d+(t>mi2)
endif
else
d=t>mi2
endif
if (d)
ab=ab3
d3=dd3
ba=bb3
ex3=0
tt=tt-1
if (w3)
u=2*(fn3(t/fac2))
else
u=1,0
endif
if (ir3)
t=0
endif
if (d3)
vb=v3j
if (rs3)
z=pixel
cb=p9*u
c=p1*u
p=pp*u
else
cb=p9
c=p1
z=z*u
endif
else
vb=v3m
if (rs3)
c=z*u
z=pixel*(sc3+px3)
z0=p7*u
ph=ph*u
else
c=z
z=z*u
endif
vb=v3m
if (mo3)
c=0.4*log(sqr(pixel^mm))
endif
endif
endif
elseif (ex4)
if (dt3)
if (iv3)
d=bo>bo3
else
d=bo<bo3
endif
if (bt3)
d=d+(t>mi3)
endif
else
d=t>mi3
endif
if (d)
ab=ab4
d3=dd4
ba=bb4
ex4=0
tt=0
if (w4)
u=2*(fn4(t/fac3))
else
u=1,0
endif
if (d3)
vb=v4j
if (rs4)
z=pixel
cb=p9*u
c=p1*u
p=pp*u
else
cb=p9
c=p1
z=z*u
endif
else
vb=v4m
if (rs4)
c=z*u
z=pixel*(sc4+px4)
z0=p7*u
ph=ph*u
else
c=z
z=z*u
endif
if (mo4)
c=0.4*log(sqr(pixel^mm))
endif
endif
endif
endif
endif
if (vb)
if (d3)
if (ab)
z=z*z+c ;Spiderjul John Horner
c=c*sp+z
else
z1=z^p-1 ;Qusinewton Pusk s Istv n
z2=p*z*z
z=z-z1/z2
endif
elseif (ab)
z1=z*z+ph-0.5*zold ;Phoenix Mike Wareman
zold=z
z=z1
else
z2=fn1(z)+c ;Many_mods Linda Allison
z1=cos(z2)
z=c*(1-z1)/(1+z1)
endif
elseif (d3)
if (ab)
z2=z*z ;Julia Pusk s Istv n
z=z2*z2+p6*z2+c-p0
else
z1=fn1(z)-cb ;Bees Ray Girvan
z2=z1^p8-1
z3=p8*(z1^(p8-1))
z=z-(z2/z3)
endif
elseif (ab)
z2=z*z ;Mandel Pusk s Istv n
z=z2*z2+p6*z2+c-p0
else
z3=z ;Secant Mike Wareman
z1=z0*z0*z0*z0-1
z2=z*z*z*z-1
z=z-z2*(z-z0)/(z2-z1)
z0=z3
endif
bo=|z|
bo<ba
}
----------------------------start-par-------------------------------------
The_original {;flying_machine
; Time 3.54.24.45
; Albrecht Niekamp Oct, 03
reset=2002 type=formula formulafile=mfr.frm
formulaname=multifractal_9 function=sin/exp/exp/sin passes=t
center-mag=+0.69407468245339080/+0.03415551174862821/115.2977/0.5977/-92\
.5000000000000284/3.88578058618804789e-016
params=-0.05825983458967864/0.3785210730307932/21225.32565788021/15234.0\
506030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\
1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter
outside=tdis periodicity=0 rseed=-2436
colors=2000QY<10>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB\
7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSS\
SUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz\
<13>0R_
}
Madhouse { ; Time 3.25.34.35
; Albrecht Niekamp Oct, 03
;
reset=2002 type=formula formulafile=mfr.frm
formulaname=multifractal_9 function=sin/sin/exp/sin passes=t
center-mag=+0.80170883016743030/-0.00197191029829151/36192.88/1/-159.999\
999999981441/-1.69965014285011762e-011
params=-0.05825983458967864/0.3785210730307932/21222.32595705021/15423.0\
506030602/51024.02048000094/384.0449690484/384.0242000145/256.1007683001\
/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter
outside=tdis logmap=4 periodicity=0 rseed=-2436
colors=200012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\
>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\
0<21>bbbdddfffgggiiijjj<3>qqqsssqqq<24>BBB999777555444222000
}
The_magic_mirror { ; Time 3.14.24.15
; Albrecht Niekamp Oct, 03
; Version 2002 Patchlevel 5
reset=2002 type=formula formulafile=mfr.frm
formulaname=multifractal_9 function=sin/sin/exp/sin passes=t
center-mag=+0.80171328060885840/-0.00196810603325942/1070795/1/-159.9999\
99995678252/-3.12983081118822781e-009
params=-0.05825983458967864/0.3785210730307932/21222.32595705021/15423.0\
506030602/51024.02048000094/384.0449690484/384.0242000145/256.1007683001\
/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter
outside=tdis logmap=4 periodicity=0 rseed=-2436
colors=200012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\
>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\
0<21>bbbdddfffgggiiijjj<3>qqqsssqqq<24>BBB999777555444222000
}
-----------------------------------------end--------------------------------