Hi, Multifractal now has five frms to choose from. Beautiful new structures! Pagoda is a special zoom, as it contains all five, but no chaotic spots, and thatïs where I wanted to get at. Iïm still working on a better way to embed the new frm, "Bees" by Ray Girvan, so maybe tomorrow there is a new formula. I hope, this is alright with you, as I´m constantly trying to improve my baby.. Fractal greetings, Al. ---------------------------------START-PAR--------------------------------- Pagoda { ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult241.frm formulaname=multifractal_3 ismand=y function=exp/sin/sin/exp passes=t center-mag=0.374349/-0.833852/19.72387/1/154.999999999999972/7.671641100\ 15983169e-014 params=0.5/-0.375/12829.1001/40.3214026/4048.02048/384.000001/384.00024/\ 256.0076800000001/512.01024/768.01024 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200III<3>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>\ 022000211<22>keOmgPoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o00q00s00\ <3>z00<25>C00A00800<3>000<23>eeegggiiijjjlllnnn<2>sss<20>KKK } Mfr3_basic { ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult241.frm formulaname=multifractal_3 ismand=y function=exp/sin/sin/exp passes=t center-mag=-0.537836/4.44089e-016/0.9861933 params=0.5/-0.375/12829.1001/40.3214026/4048.02048/384.000001/384.00024/\ 256.0076800000001/512.01024/768.01024 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200III<3>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>\ 022000211<22>keOmgPoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o00q00s00\ <3>z00<25>C00A00800<3>000<23>eeegggiiijjjlllnnn<2>sss<20>KKK } ------------------------------------start-frm------------------------------- FRM:Multifractal_3 { ; Albrecht Niekamp 090603 ;only integers as first input, second input 5 digits to the right ;real(p2) 5digits: shape, outside, in1, in2, in3 ; 0_off 1_mand 2_jul 3_hyb.mand 4_hyb.jul +5_reset digit1: +5_warp ; input2 : five digits frm2 use : 0_no 1_yes ;imag(p2) (-)digit1 : many_mods multipl. off 1_out 2_in1 3_in2 4_all ; digit2 : iter-reset 1_out 2_in1 3_in2 4_all ; input2 : many_mods_2digits frm1_2digits frm2_2digits bees_4digits ;real(p3) many_mods bailout, bailout ;imag(p3) shape : factor (fn1), outside : border-in ;real(p4) outside : factor (fn2), border-out ;imag(p4) maxiter1, factor1 (fn2) ;real(p5) maxiter2, factor2 (fn3) ;imag(p5) maxiter3, factor3 (fn4) ; da=real(p2) dd=trunc(da) da=round((da-dd)*100000)+11111 d=trunc(dd/10000) ex0=d>5 d=d-5*ex0 vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) ex1=d>0 dd=dd-d*1000 rs1=d>5 d=d-5*rs1 v1m=(d==3) v1j=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) ex2=d>0 dd=dd-d*100 rs2=d>5 d=d-5*rs2 v2m=(d==3) v2j=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) ex3=d>0 dd=dd-d*10 rs3=d>5 d=d-5*rs3 v3m=(d==3) v3j=(d==4) dd3=(d==2)+(d==4) ex4=dd>0 rs4=dd>5 dd=dd-rs4*5 v4m=(dd==3) v4j=(dd==4) dd4=(dd==2)+(dd==4) tt=ex0+ex1+ex2+ex3+ex4 ; d=trunc(da/10000) ab=(d==2) da=da-d*10000 d=trunc(da/1000) ab1=(d==2) da=da-d*1000 d=trunc(da/100) ab2=(d==2) da=da-d*100 d=trunc(da/10) ab3=(d==2) da=da-d*10 ab4=(da==2) ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) d=round((d-dd)*100000000) da=trunc(dd/10) so1=((da==1)+(da==4)==0) so2=((da==2)+(da==4)==0) so3=((da==3)+(da==4)==0) dd=dd-10*da ir1=(dd==1)+(dd==4) ir2=(dd==2)+(dd==4) ir3=(dd==3)+(dd==4) ; mm=trunc(d/1000000) d=d-mm*1000000 p6=trunc(d/10000)/10 d=d-p6*100000 if (t) p6=-p6 endif p7=trunc(d/100)/10 d=d-p7*1000 p8=d/100 ; d=real(p3) mb=trunc(d) ba=(d-mb)*100000 ; d=imag(p3) sfac=trunc(d) b1=(d-sfac)*100000 b0=b1/2 ; d=real(p4) ofac=trunc(d) b2=(d-ofac)*100000 ; d=imag(p4) mi1=trunc(d) fac1=(d-mi1)*100000 ; d=real(p5) mi2=trunc(d) fac2=(d-mi2)*100000 ; d=imag(p5) mi3=trunc(d) fac3=(d-mi3)*100000 ; if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else c=p1 z=pixel endif t=0 d3=(ismand==0) u=d3 : bo=z If (tt) t=t+1 if ((ex0)&&bo>b0) u=fn1(t/sfac) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) ba=mb else c=pixel endif else z=pixel c=p1*u endif ex0=0 tt=tt-1 elseif ((ex1) && bo>b1 && bo<b2) u=2*(fn2(t/ofac)) rs=rs1 ab=ab1 if (dd1) if (rs) z=pixel endif c=p1*u vb=v1j d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1m if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir1) t=0 endif ex1=0 tt=tt-1 elseif ((ex2) && t>mi1) u=2*(fn2(t/fac1)) rs=rs2 ab=ab2 if (dd2) if (rs) z=pixel endif c=p1*u vb=v2j d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v2m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir2) t=0 endif ex2=0 tt=tt-1 elseif ((ex3) && t>mi2) u=2*(fn3(t/fac2)) ab=ab3 rs=rs3 if (dd3) if (rs) z=pixel endif c=p1*u vb=v3j d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3m if (vb) if (so3) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir3) t=0 endif ex3=0 tt=tt-1 elseif ((ex4) && t>mi3) u=2*(fn4(t/fac3)) ab=ab4 rs=rs4 if (dd4) if (rs) z=pixel endif c=p1*u vb=v4j d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v4m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif ex4=0 tt=tt-1 endif endif if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z1=sin(z)-c ;Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif |z|<=ba } -------------------------------------------------------------end-frm-------- --------------------------------