*Hi, I dont know if it still makes any sense to publish a new MFR Version. Will see. It was necessary to improve the Magnet handling. It now ignores P1 completely with the effect that the images are "clean" without chaotic junk and always symmetrical. In addition its possible to ignore the variable - set to 0.1 - and read only Real(p1) which delivers an infinite diversity. A sample is todays image. It?s called Maggame because it?s possible to play "Monkey at the typewriter" and type any value in Real(P1). This is how it was generated, it takes just a few seconds.The evolution mode never can accomplish the same results. A second achievement is greater speed. For example the "Togetherness" image needs 13 minutes less. The third and most important improvement is the replacemnt of SpiderJul (never used) by LambdaFn which has unlimited versality, more then any other participating frm. Hal Lane - A big Thank You! from here and I spent a lot of time testing and checking for any differences to MFR_12 Images. So far the newer images are identical with the exception of course of those that use magnet, they maybe identical or maybe not, pending on the reading of P1. The new frm did not show any problems sofar, possibly there are none. Anyway until I?m certain I will attach it to the par. Of course it doesnt make any sense to ?publish more images if no one is interested anymore. So tell me, please. Thanks. Paul, please make it available in orgform, although it?s subject to modification. Thanks also to you. -----------------------Start PaR------------------------------------------- LambdBsn { ; LambdaFn Basic ; Replaces Spider ; Time 0.01.08.28 Reso 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_13 function=exp/sin/exp/sin passes=t center-mag=-0.0606262/0.0140242/1.06411/1/-105.000000000000028/1.3107570\ 5844807544e-014 params=0.09659108249153112/-0.5176854762413403/80000.32591550023/25234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA\ 5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\ 6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2\ A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6\ X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlq\ votvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>S\ A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXQm`NlcJkgFfpAaz<3>PKoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } Maggam-01 { ; Magnet Solo ; New MFR_13 Feature ; 0.05.40.70 Reso 1280*1024 ; Input Real(p1) reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_13 function=sin/exp/exp/sin passes=t center-mag=-1.3042/-0.000358195/31.60623/1/-90/3.88578058618804789e-016 params=4.123456789123456/0.3785210730307932/80000.6459575/14235.49110306\ 02/152048.0404808001/384.16048940121/384.00482000595/256.1007683001/512.\ 1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000<3>000000000<3>000330<6>220220220<3>110000110<2>000KA4<7>gcOjg\ RmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<2\ 6>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6\ `Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VM\ CRI8OE4KA0000<38>000 } frm:multifractal_13 { ; Albrecht Niekamp Nov29, 2014 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Lambda/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Lambd ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_nowarp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=trunc(((da-dd)*100000000000)+11111) dd=trunc(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 ex0=(d>1) sc=d==2 mo=d==6 po=d==7 sx=d==9 ab=po+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 po1=d==7 sx1=d==9 v1m=mo1+po1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=po1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 po2=d==7 sx2=d==9 v2m=mo2+po2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=po2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 po3=d==7 sx3=d==9 v3m=mo3+po3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=po3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 po4=d==7 sx4=d==9 v4m=mo4+po4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=po4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000) da=da-ph*10000000 sp=trunc(da/100000) da=da-sp*100000 d=trunc(da/10000) da=da-d*10000 wx=(d>4) d=d-5*wx dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) da=da-d*1000 w1=d>4 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) da=da-d*100 w2=d>4 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) da=da-d*10 w3=d>4 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) w4=da>4 da=da-5*w4 rs4=(da==2)+(da==3)+(da==4) ph=ph/10 sp=sp/10 w0=(wx==0) ; d=real(p3) dd=trunc(d) da=trunc((d-dd)*10000000000) pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3-4 mg=da/10 if (mg<1) mg=real(p1) endif ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d==2 mag=da==2 px0=((sx*mag)==0)*p1 px1=((sx1*mag)==0)*p1 px2=((sx2*mag)==0)*p1 px3=((sx3*mag)==0)*p1 px4=((sx4*mag)==0)*p1 ; d=real(p4) ofac=trunc(d) da=trunc((d-ofac)*10000000000) bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) dd=trunc(d) da=trunc((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=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 p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=trunc((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=trunc((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=trunc((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 (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;lambdafn m = ((1, 0.4) * (|p1|<=0) + p1) x = (64 * (real(sp)<=0) + real(sp) * (0<sp) ) endif else c=z z=pixel ;newton endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u0=2*(fn1(t/sfac)) if (w0) u=u0 else u=1.0 endif ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=px0*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=px1*u p=pp*u else c=px1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+po1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^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=px2*u p=pp*u else cb=p9 c=px2 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+po2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^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=px3*u p=pp*u else cb=p9 c=px3 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+po3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^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=px4*u p=pp*u else cb=p9 c=px4 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+po4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=fn2(z)*fn3(m) ;Lambdafn abs(imag(z)) <=x && abs(real(z)) <=x endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant 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 } ----------------------------------End----------------------------------- *