Hi, Lee sorry, its like you said, I forgot to rename those two which have been added later. Here they are again and a new one. There is a minor modification in the main loop of the formula, but it only slightly improves the performance. Fractal Greetings, Al. -------------------------start-par-------------------------------------- Speedtest { ; Time 1min10sec p4 2giga 1600/1200 ; Albrecht Niekamp May, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=exp/exp/exp passes=t center-mag=0.117455/3.33067e-016/2.552858/1/90/3.88578058618804789e-016 params=-0.173894466994232/-0.3000579851680044/384.00001/256.1133/2048.00\ 008/768.0256000000001/768.01536/2560.01025/4/35.324051 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=0000200000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDf\ VEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5G\ B5DA<3>254243121000001023025047049<5>0BL0DN0DP<3>0JX0KZ0L`0Mb0Nd<3>0Sl0T\ n0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<6>0Ma0L_0KY<3>0FQ0DO0DM<3>08E06C06A04804\ 6024012000100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<\ 2>k0bi0`g0_e0Z<3>Y0SW0RU0O<8>C0AA09807506304102010<9>0L20N20P30R30T40V40\ X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20\ G20E20C20A1081061040 } Mandala2 { ; 5*many_mods ; Albrecht Niekamp May,03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=y function=exp/exp/exp passes=t center-mag=4.44089e-016/-2.22045e-016/0.5706667 params=-0.1738944669942329/-0.3000579851680044/384.00001/256.0076/256038\ 4.00008/1536.0256/768.01536/5120.01024/38888/2 float=y maxiter=3072 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=200U00<9>A00<4>000<25>iiijjjlll<3>sss<25>BBB999777<2>222000012<24\

0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqjRslS<3>zsX<25>CB7A9687\ 5<3>000400<23>o00q00s00<3>z00<15>W00 } Mandala2_deep_zoom { ;Albrecht Niekamp May, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=y function=exp/sin/exp passes=t center-mag=-0.09443402126328944/+0.06768140116763766/266.6667 params=-0.1738944669942329/-0.3000579851680044/384.00001/256.0076/512038\ 4.00015/1536.0256/768.01536/5120.01024/37314/0 float=y maxiter=3072 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=200BBB<3>444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<22\ keOmgPoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C0\ 0A00800<3>000<23>eeegggiiijjjlllnnn<2>sss<24>DDD }

---------------------------start-frm--------------------------------------- FRM:Multifractal { ;Albrecht Niekamp May, 04 ;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: Pusk s Istv n else z2=z*z ;frm: Pusk s Istv n 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-frm---------------------------------------