Hi, now that itïs ready i find the time to do some exploring. These zooms into Julia_rules are worth waiting, I think. Fractal greetings, Al. _________________________start-par_________________________________________ The_valley { ; Albrecht Niekamp May, 03 ; Zoom into Julia_mountains ; Time 2.57.36 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=-0.88333481282099860/-0.40169492625939180/2203.42/1/-137.4999\ 99999998522/-1.18278303817831443e-012 params=-0.1740997192297128/-0.2996141087069308/384.00004/256.1106/2048.0\ 0016/768.00009/768.01536/256.01025/28424.5/12 float=y maxiter=2048 inside=maxiter outside=tdis logmap=10 periodicity=0 rseed=-2436 colors=0000j5<2>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G\ 20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>Dd\ TDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6I\ C5GB5DA<3>254243121000001023025047049<5>0BL0DN0DP<2>0IV0JX0KZ0L`0Mb<3>0R\ j0Sl0Tn0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<6>0Ma0L_0KY<3>0FQ0DO0DM<3>08E06C06\ A048046024012000100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns\ 6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<7>E0CC0AA09<2>304102010<9>0L20N20P30R30\ T40V40X3<5>0h5 } The_center { ; Albrecht Niekamp May, 03 ; Zoom into Julia_rules ; Time 0.16.23 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=-0.05053709997832860/-0.00922749254324538/26.88172/1/-47.5/3.\ 88578058618804789e-016 params=-0.1740997192297128/-0.2996141087069308/384.00004/256.1106/2048.0\ 0016/768.00009/768.01536/256.01025/28974.51/12 float=y maxiter=2048 inside=maxiter outside=tdis logmap=10 periodicity=0 rseed=-2436 colors=000049<5>0BL0DN0DP<2>0IV0JX0KZ0L`0Mb<3>0Rj0Sl0Tn0Up4Yr8atCgvGkxKq\ z<3>4_s0Vq0Uo<6>0Ma0L_0KY<3>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R\ 0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y\ 0SW0RU0O<7>E0CC0AA09<2>304102010<9>0L20N20P30R30T40V40X3<3>0d40f50h5<3>0\ p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>0\ 000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_G\ p`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<3>2542431\ 21000001023025047 } Spacecapsule { ; Albrecht Niekamp May, 03 ; Zoom into Julia_rules ; Time 0.13.42 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=-0.06805984151223035/-0.04559319636224127/182.8429/1.2051/57.\ 5000000000000497/-5.05012698326368081e-014 params=-0.1740997192297128/-0.2996141087069308/384.00004/256.1106/2048.0\ 0016/768.00009/768.01536/256.01025/28974.51/12 float=y maxiter=2048 inside=maxiter outside=tdis logmap=10 periodicity=0 rseed=-2436 colors=000049<5>0BL0DN0DP<2>0IV0JX0KZ0L`0Mb<3>0Rj0Sl0Tn0Up4Yr8atCgvGkxKq\ z<3>4_s0Vq0Uo<6>0Ma0L_0KY<3>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R\ 0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y\ 0SW0RU0O<7>E0CC0AA09<2>304102010<9>0L20N20P30R30T40V40X3<3>0d40f50h5<3>0\ p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>0\ 000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_G\ p`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<3>2542431\ 21000001023025047 } Mandelweb { ; Albrecht Niekamp May, 03 ; Zoom into Julia_rules ; Time 0.10.47 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=-0.04702177726320782/-0.01948403974853397/3953.194/1/67.49999\ 99999997442/3.56610574403504188e-013 params=-0.1740997192297128/-0.2996141087069308/384.00004/256.1106/2048.0\ 0016/768.00009/768.01536/256.01025/28974.51/12 float=y maxiter=2048 inside=maxiter outside=tdis logmap=10 periodicity=0 rseed=-2436 colors=000049<5>0BL0DN0DP<2>0IV0JX0KZ0L`0Mb<3>0Rj0Sl0Tn0Up4Yr8atCgvGkxKq\ z<3>4_s0Vq0Uo<6>0Ma0L_0KY<3>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R\ 0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y\ 0SW0RU0O<7>E0CC0AA09<2>304102010<9>0L20N20P30R30T40V40X3<3>0d40f50h5<3>0\ p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>0\ 000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_G\ p`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<3>2542431\ 21000001023025047 } Julia_mountains { ; Albrecht Niekamp May, 03 ; Zoom into Julia_rules ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=-0.88112912875275460/-0.40222637253519330/537.6344/1/42.49999\ 99999996732/7.76441411165507134e-013 params=-0.1740997192297128/-0.2996141087069308/384.00004/256.1106/2048.0\ 0016/768.00009/768.01536/256.01025/28974.5/12 float=y maxiter=2048 inside=maxiter outside=tdis logmap=10 periodicity=0 rseed=-2436 colors=0000R30T40V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c\ 4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7N\ G8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFi\ X<5>BYOAWMAUL9SK<4>6IC5GB5DA<3>254243121000001023025047049<5>0BL0DN0DP<2\
0IV0JX0KZ0L`0Mb<3>0Rj0Sl0Tn0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<6>0Ma0L_0KY<3\ 0FQ0DO0DM<3>08E06C06A048046024012000100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p\ 0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<7>E0CC0AA09<2>3041\ 02010<11>0P3 }
-------------------------------start-frm----------------------------------- FRM:Multifractal { ;Albrecht Niekamp May, 03 ;only integers as first input, second input 5 digits to the right ;real(p2) factor1,border1 ;imag(p2) (-)maxiter1,input bas.frm1_2digits input bas.frm2_2digits ;real(p3) bailout,hyb.mandel: number of sides (Many_mods L.Allison) ;imag(p3) factor2,border2 ;real(p4) maxiter2,factor3 ;imag(p4) border3,maxiter3 ;real(p5) 1digit_shape only 5digits: shape,out1,out2,in1,in2 ; 1_mand 2_jul 3_hyb.mand 4_hyb.jul +5_reset (not shape) <0_no in/out1 ; optional basic frm2: out-nbr 1digit in-nbr 1digit 3_both +5_shape ;imag(p5) 1digit : 1_iter1reset 2_iter2reset 3_both +5_shape effect ; 2digits : many_mods multipl. shutoff +10_in/out1 +20_inout2 +30_both ; optional input2: frequency_2digits level_2digits amplitude_2digits ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=(d<0) if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=(da<0) if (t) da=-da endif start=2-t dd=trunc(da) if (dd<5) start=0 endif vb=(dd==3)+(dd==4) da=round((da-dd)*100) d=trunc(dd/10000) vb=(d==3)+(d==4)+vb dd=dd-d*10000 d=trunc(dd/1000) or1=(d>5) d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=(d>5) d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=(d>5) d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-d*10 d=trunc(dd) inr2=(d>5) d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) d=trunc(da/10) ab=(d>=5) d=d-5*ab da=da-10*d bb1=(d==1) bb2=(d==2) d=da ab=(d>=5) d=d-5*ab ab1=(d==1) ab2=(d==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=(d>10000) da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=(dd>=5) dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequency_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave angle=real(rotskew*pi/180) t=exp(-flip(angle)) h=1/real(magxmag) q=h/0.75*imag(magxmag) tanskew=tan(imag(rotskew*pi/180)) w=2*q*t v=2*h*(tanskew+flip(1))*t z3rd=center+(-q-h*tanskew-flip(h))*t z=pixel-z3rd s=imag(conj(w)*z)/imag(conj(w)*v) if (s<=level) da=level-s z=z+2*da*(1+ampl*sin(freq*da^0.2))*v endif z=z+z3rd endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) ;frm: Albrecht Niekamp else z2=fn1(z)+c ;frm: Many_mods Linda Allison sqz2=cos(z2) z=c*(1-sqz2)/(1+sqz2) endif else if (ab) z=z*z+c+c*c-p7 ;frm: Puskás István else z2=z*z ;frm: Puskás István modified z=z2*z2+(p6+u)*z2+c-p1*(d3==0) endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif bo<=ba } -------------------------------------------end-----------------------------