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Cockfight
by Albrechtx 25 Dec '13

25 Dec '13

HI, this is a final surprise for the day: Cockfight Hope you like it! ; https://www.dropbox.com/sh/yh8ilpxak4sn1x5/GJgVD9TmRO ; Albrecht ===================================start parameter========================= 64718-1 { ; Cockfight ; Time 0.01.25.63 ; phoen-manowar-newt-secant-magnet ; 1280/1024 reset=2004 type=formula formulafile=mfrres~1.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=2.63236/-1.24841/0.004181054/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/64718.64595777025/14235.4\ 911030602/152048.0404808035/384.1604894022/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000120<5>010010000010<2>000JA4<7>fcOigRljT<3>yzc<9>TOFQKDNGA<3>90\ 0<9>e0Ch0Dk0F<3>y0K<6>Y0EU0DQ0C<3>908004000<26>000<4>000204<4>I0NM0QP0UT\ 0YW0a<3>h0pl0so0w<4>Z0dW0aT0Y<2>J0NG0JF0ND1R<3>6UX5`Z3h_1oa0wc<8>1`M1ZK1\ WI<3>2MA3J73G53D3<17>jkalmcooe<3>ywm<3>lhZidVeaS<3>UMCQI8NE4JA0000<43>00\ 0<4>000230<4>120 }

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Here are two more zooms into Albrecht's 56418 fractal:
by Hal Lane 25 Dec '13

25 Dec '13

Here are two more zooms into Albrecht's 56418 fractal -- continuing my previously posted sequence: Here's a 1200 x 900 anti-aliased version: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H6.jpg and its original 4k x 3k .GIF (5 MB!) version used to create the anti-aliased image: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H6.GIF and this one is perhaps a little "too busy", because I included too many features in the image -- or maybe the fractal is getting "richer" or "more dense" in features per unit area as the magnification goes up... http://www.emarketingiseasy.com/Albrecht/MFR12/56418H7.jpg Be sure to view the anti-aliased (.jpg) images at full size to get the full benefit of the anti-aliasing... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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56418 zooms
by Albrechtx 25 Dec '13

25 Dec '13

HI, to finalize this series of zooms look again in the folder. I thought 56418-8 was maximum but i completed 4 or 5 more total zooms, all very different. The folder even contains the total view which is generated by 3 total outzooms, could be needed for own zooming or animation. ; Hal, pleaase try to find out the magnification factor for 56418-18 which definetly is the maximum. Thanks ; https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO ;; Albrecht

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I took Albrecht's advice and did zooms into his 56418 fractal.
by Hal Lane 25 Dec '13

25 Dec '13

I took Albrecht's advice: "Uncountable zooms with always new structures up to maximum zoom..." and did zooms into his 56418 fractal ("...features 5 frms mmods-phoenix-manowar-secant-magnet.") Here are some of the results. Each image in my sequence is contained (somewhere) in the previous image, so if you (perhaps) keep them in separate tabs and look a bit, you can see the zoom-in progression. The largest magnification is only around 55,000 and loss of precision usually doesn't appear visually until 10^11 or so -- so there is headroom for a bit more zooming... ;-) This fractal has a richness to it -- as you zoom in, very different (and very interesting) things keep appearing! I just discovered Albrecht's 6 great zooms that he posted, and it looks like only one of my zooms appears somewhat similar to one of his. His zoom: http://www.emarketingiseasy.com/Albrecht/MFR12/56418-5.GIF and my similar one: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H1.jpg For reference, here's Albrecht's original image: http://tinyurl.com/2013-12-24-56418 or: http://www.emarketingiseasy.com/Albrecht/MFR12/2013-12-24_56418.GIF And my anti-aliased zooms: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H1.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H2.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H3.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H4.jpg Do you see anywhere in this image that might possibly be interesting if zoomed into?: ;-) http://www.emarketingiseasy.com/Albrecht/MFR12/56418H5.jpg And for completeness, here's the color map he used: http://www.emarketingiseasy.com/Albrecht/MFR12/56418colorMap.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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56418 Zooms
by Albrechtx 24 Dec '13

24 Dec '13

HI, here are not less then 6 Zooms into yesterday´s image 56418. ; Jack, this is a really hot tip for you! Uncountable zooms with always new structures up to maximum zoom, reasonably fast, easy to handle and good colors. ; There has been an important improvemnt to the software which however does not affect the images: I truncated all commands and variables deleting not needed digits after the dot, so only the neccessary digits remain, that improves speed and presision. I´m on thin ice, but I think 1 or 2 additional maximum zooms are possible. If no more problems occur, this version should be the final one. For the last time I also include the pars, Please tell me if you still have difficulties downloading using the dropbox links. ; https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO ; Cheers, Albrecht ; =========================start par======================================= 56418-8 { ; Mmods-phoenix-manowar-secant-magnet ; Maximum Zoom ; Time 0.29.15.48 1280/1024 ; Albrecht Niekamp Dec, 2013 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.30008789514750520/+0.00111272971491678/8410325/1/119.99999\ 9986869341/1.44456344733367992e-008 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/54235.49\ 110306019/152048.0404808025/384.1604894022/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000b0F<4>J0AE09A08004000<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<6>2202202\ 20<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<\ 3>z0K<4>f0G } 56418-4 { ; Mmods-phoenix-manowar-secant-magnet ; Very Deep Zoom ; Time 0.06.49.92 1280/1024 ; Not pretty but a perfect zooming source reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.30007817844554720/+0.00111125485924938/88241.12/1/90/3.885\ 78058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/54235.49\ 110306019/152048.0404808025/384.1604894022/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<14>000000000<3>000330<6>220220220<3>110000110<2>000KA4<7>gcOj\ gRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<\ 26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX\ 6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>V\ MCRI8OE4KA0000<27>000 } 56418-5 { ; Mmods-phoenix-manowar-secant-magnet ; The Pyramid ; Time 0.02.50.27 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=0.770021/0.00369188/14.11858/1/90/-1.23373533611470521e-014 params=-0.9899594103823969/0.4572283089693899/56418.0659575/14235.491103\ 0602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001/256\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000M_8<3>KM8KJ8JF8JC8I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBri\ Atm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7\ Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2\ >y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`\ c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gc\ h8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BY\ cC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1z\ zC<2>zzz<9>Mb8 } 56418-3 { ; Mmods-phoenix-manowar-secant-magnet ; Quasi 3d Structures ; Time 0.04.30.72 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.29710275190449560/+0.00039133892053301/396.5893/1/-90/3.88\ 578058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/14235.49\ 11030602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001\ /256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA\ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW\ Ai_5fc0ce7_jFRoNIzb0zj0 } 56418-10 { ; Mmods-phoenix-manowar-secant-magnet ; Mandelbrot in Snow and Ice ; Time 0.04.13.42 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.29733191148376500/-0.01234422506337566/1357.556/1/119.9999\ 99999999076/1.65777114258247593e-013 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/14235.49\ 11030602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001\ /256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000w1k<3>s1or2qs2ru2tv2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`\ c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gc\ h8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BY\ cC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1z\ zC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBi\ ODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>v\ AIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g\ 0Ul0Xq0`v0d<2>y0fz0gy0hx0i } frm:multifractal_12 { ; Albrecht Niekamp Dec, 2013 ;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_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 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=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 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(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 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; 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 mg=trunc(da/10) ; 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 ; 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) t=d<0 if (t) d=-d endif 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=round(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 if (t) p6=-p6 endif 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 ;Spider c=p1 endif else z=pixel ;newton c=p1 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) u=2*(fn1(t/sfac)) 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=p1*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=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) 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=z*z+c ;Spiderjul c=c*sp+z 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 }

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Re: [Fractint] 2 new MFR12 zooms
by Hal Lane 24 Dec '13

24 Dec '13

Nice images! Great colors! Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: Albrechtx Date: 2013-12-24 06:55 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] 2 new MFR12 zooms HI, ; as Xmas for me is something I have to survive, I will try to keep your attention with new and interesting images. Here are two of them, also available in the new MFR12 dropbox folder. As long as the frm has not reached itÂ´s final status I will add it to the par. The present version will calculate the previous images too. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; Cheers, Albrecht ; =======================================start parameter===================== 80484-5 { ; Zoom into Magnet+Manowar Mix ... 80484-4 { ; Zoom into Magnet+Manowar Mix ... frm:multifractal_12 { ;Preliminary! Albrecht Niekamp Dec, 2013 =======================================start parameter===================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Genuine Multifractal
by Albrechtx 24 Dec '13

24 Dec '13

HI, and a last one for this xmas survival test. It´is really spectacular as it features 5 frms mmods-phoenix-manowar-secant-magnet. Their individual segments can be discovered by more or less deep zooming. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; no change to the formula ; Cheers, Albrecht ; ============================start parameter================================ 56418 { ; Mmods-phoenix-manowar-secant-magnet ; Zooming unlimited ; Time 0.02.43.46 1280/1024 ; Albrecht Niekamp Dec, 2013 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=0.29146/0/0.705929/1/90/3.88578058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.0659575/14235.491103\ 0602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001/256\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<1\ 3>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_jFRoNIzb0zj0 }

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Single Manowar Image
by Albrechtx 24 Dec '13

24 Dec '13

HI, again ; promised to keep you busy: Here´s a single Manowar Image which is an absolute spectacular and beautiful creation. Just watching the generation you simply cannot believe it. So here´s only the par-file without a link. Albrecht ===============================start parameter================================ Manowar-Basic3 { ; Single Manowar ; Time 0.17.21.00 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.265106/0.00308737/1.645275/1/90/3.88578058618804789e-016 params=1.429593798638874/0.444792016357921/40000.32595700022/25234.05060\ 20602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/512.1\ 007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\ 6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\ 6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\ >705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\ >E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\ vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<3>RCCWCA`B9<3>tA2yA0wA0<1\ 2>RA1PA1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb\ 0cd7_iFRnNIyb0yj0000yr0 }

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2 new MFR12 zooms
by Albrechtx 24 Dec '13

24 Dec '13

HI, ; as Xmas for me is something I have to survive, I will try to keep your attention with new and interesting images. Here are two of them, also available in the new MFR12 dropbox folder. As long as the frm has not reached it´s final status I will add it to the par. The present version will calculate the previous images too. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; Cheers, Albrecht ; =======================================start parameter===================== 80484-5 { ; Zoom into Magnet+Manowar Mix ; Time 0.07.05.32 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=+0.23366079713959790/-0.00046333770724252/2.541648e+008/1/174\ .999999996770043/-1.34336575335902708e-008 params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\ 020602/152048.0404808036/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=000U0Y<3>f0lj0pm0sp0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0w\ c<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0\ 000<43>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9\ >UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<\ 7>Q0U } 80484-4 { ; Zoom into Magnet+Manowar Mix ; Time 0.05.08.38 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=+0.23366080213478760/-0.00046334962442127/1.270824e+007/1/175\ .000000002785839/-9.36931576073218864e-009 params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\ 020602/152048.0404808035/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=000i0o<3>X0aU0YR0U<2>H0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4\ G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>00033\ 0<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9\ >f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf\ 0l<2>p0wm0s } frm:multifractal_12 { ;Preliminary! Albrecht Niekamp Dec, 2013 ;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_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 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=round((da-dd)*100000000000)+11111 dd=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 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(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 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; 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 mg=trunc(da/10) ; 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 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((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=round(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 if (t) p6=-p6 endif 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=(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=(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=(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 ;Spider c=p1 endif else z=pixel ;newton c=p1 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) u=2*(fn1(t/sfac)) 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=p1*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=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) 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=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) 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=z*z+c ;Spiderjul c=c*sp+z 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 }

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Colliding Galaxies
by JackOfTradeZ＠comcast.net 23 Dec '13

23 Dec '13

. Interesting image - it does look like it! Now what parameter tweaks would bring the galaxies closer together? If I animate it, would it look like those videos I've seen of computer simulations of real galaxies colliding? Might be interesting to find out. .

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