These are good zooms, Hal. A good tip for other zooms: check the small objects along the straight lines ! Here`s the par again, including the frm: -------------------------------start par----------------------------------- 21547-33 { ; Martian_Fireworks ; Mandel-secant-mmods-manow-newton ; Time 0.15.36.86 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000250964429970/-0.13143222001085130/22829.55/1/180 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>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>VMCRI8OE4KA0000<43>000<4>000330<12>110 } frm:mfr_14_1 {; Albrecht Niekamp Feb.19,2015 Deleted Warp Effect ;P1 : Julia-Manowar-(Lambda)-(Magnet)-(Phoenix) 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 or fn4 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 ;Function: fn1_Manymods, fn3_Bees, fn2+fn3+fn4(virtual P1)_Lambda(fn) 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 bs=d==4 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 bs1=d==4 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 bs2=d==4 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) dd=dd-d*10 ex3=(d>1) sc3=d==2 bs3=d==4 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 ex4=(d>1) sc4=d==2 bs4=d==4 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) bst=bs+bs1+bs2+bs3+bs4 mot=mo+mo1+mo2+mo3+mo4 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) if (ph==0) ph=p1 else ph=ph/10 endif w0=(wx==0) If (1<sp) d=(trunc(sp/10))/9 da=fn4(sp-100*d) d=sp/73,37 sp=d+sqr(-da) else sp=p1 endif ; 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) dd=trunc(d) da=trunc((d-dd)*10000000000) sfac=dd/1000000+(dd==0) 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) dd=trunc(d) da=trunc((d-dd)*10000000000) ofac=dd/1000000+(dd==0) 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 dd=trunc(da/100000) da=da-dd*100000 fac1=dd/1000000+(dd==0) 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 dd=trunc(da/100000) da=da-dd*100000 fac2=dd/1000000+(dd==0) 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) dd=trunc(da/100000) da=da-dd*100000 fac3=dd/1000000+(dd==0) 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 x=((1,0.4)*(|sp|<=0)+sp) m=(64*(real(bb0)<=0)+real(bb0)*(0<bb0)) endif else c=z z=pixel ;newton endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) z=0 ;many mods 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 u=1.0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) ex0=0 if (ir0) t=0 endif if (d3) z=pixel cb=p9 c=px0 p=pp else if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif tt=tt-1+ex0 endif endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9 c=px1 p=pp else c=px1 z=z cb=p9 endif else vb=v1m if (rs1) c=z z=pixel*(sc1+po1) z0=p7 ph=ph else c=z 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 (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9 c=px2 p=pp else cb=p9 c=px2 endif else vb=v2m if (rs2) c=z z=pixel*(sc2+po2) z0=p7 else c=z 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 (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9 c=px3 p=pp else cb=p9 c=px3 endif else vb=v3m if (rs3) c=z z=pixel*(sc3+po3) z0=p7 else c=z 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 (d3) vb=v4j if (rs4) z=pixel cb=p9 c=px4 p=pp else cb=p9 c=px4 endif else vb=v4m if (rs4) c=z z=pixel*(sc4+po4) z0=p7 else c=z 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(x) ;Lambdafn abs(imag(z))<=x && abs(real(z))<=m 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 zold=z ;Phoenix 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 ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn3(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 }

Am 11.03.2018 um 23:09 schrieb Harold Lane:

The nearby lacey, magnetic field patterns are also nice.

Am 11.03.2018 um 23:09 schrieb Harold Lane:

This is certainly an interesting area of end-to-end connected thistle shapes making up the "horseshoes" in your Martian_Fireworks image, Albrecht:

The nearby lacey, magnetic field patterns are also nice. http://tinyurl.com/Martian-Fireworks-zoom-1 or http://www.emarketingiseasy.com/Albrecht/MFR_14_1/21547H34.GIF

- Hal Lane

######################## # hallane@earthlink.net ########################