November 2014 - Fractint - mailman.xmission.com

MOTD 031114_Mandel Newton
by Albrechtx 03 Nov '14

03 Nov '14

HI, trying to make you curious, lets see if I suceed. ; Already back again with a second image for todays MOTD, using the same combination: Newton-Secant-ManyMods, trying to emphasize the inside3 -Mmods. As the function I used exp and this is what I got! What is it? Look at the surrounding shapes! ; Seems I landed a hit, two unequalled images completely different with the same combination. There is a third one, saving it for later.. ; The link is still the same , the image will be added later, dropbox is full https://www.dropbox.com/sh/ajf42nh08xl1sju/AABePMhktKPNtLohnWfnOgVva?dl=0 ; Albrecht ;--------------------------------------------start par------------------------------------------------------------ 70105-28 { ; Mandel-Newton ; Newton-Secant-Manymods ; 0.01.31.03 reso 1280/1024 ; C R A Z Y reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sqr/exp/exp passes=t center-mag=2.02671/-0.00992981/0.8980465/1.1324/-90/-1.23373533611470521\ e-014 params=-0.05825983458967864/0.3785210730307932/20405.37064900111/11415.2\ 207180221/151024.0204808192/384.32768524388/120.00482000595/128.10076810\ 01/256.2007682001/768.30051200384 float=y maxiter=3072 inside=maxiter periodicity=0 rseed=-2436 colors=00y0gh00f0fe0cd0cY00V00U00N00O000<4>000<2>0000800000800A00000K00K\ 0gK0g00hL0hK0jK00K00N00H0kH0k00kS0lU00Z00_0la00d00d0000mh00j00000m0000n0\ 00n0000000or0xt0xu0uv0ux0sx0sx00x0<3>0y00000y0<2>0y0zy0zy0zy00y00y0zxyzx\ vzx0ywu0vt0ut0qs0ps0pr00000000r0pq00q00q0000000oqz0000000p00qyo00p00pryq\ tyqwxqyxqy0qxwpvvpvuou0lttjstjq0hotbmsSXsQWsNVpJSpIG00000000F0G00DC0DB09\ A07606500500406400300000x00xv02vww00w0uwtuwtt2t02s0vs0vr01qr1q0uq00nq0nq\ 0kqukn0il00j0hjt0it60r6gq50i00h00h00300f00S00F00F00E50D00C00C00700000060\ 804805005000800860905900000068z08yp0yqoysoxvoxvo9vo90ox8ow00w0000AtJnrJn\ pJmoJmnKkiKjfKkdK000000C00E00F00F0000<3>000wx0twxswwpvwnvu0uu0ttmtr0tq0s\ pksp0rn0pmkokkojjljjkiij0ij000000000y00x00xzyxzxwyvw0tuxouxosvmsulqsj0qi\ ophophm00l00k0hj<3>0hh } ; Albrecht ;--------------------------------------------start par------------------------------------------------------------ 70105-28 { ; Mandel-Newton ; Newton-Secant-Manymods ; 0.01.31.03 reso 1280/1024 ; C R A Z Y reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sqr/exp/exp passes=t center-mag=2.02671/-0.00992981/0.8980465/1.1324/-90/-1.23373533611470521\ e-014 params=-0.05825983458967864/0.3785210730307932/20405.37064900111/11415.2\ 207180221/151024.0204808192/384.32768524388/120.00482000595/128.10076810\ 01/256.2007682001/768.30051200384 float=y maxiter=3072 inside=maxiter periodicity=0 rseed=-2436 colors=00y0gh00f0fe0cd0cY00V00U00N00O000<4>000<2>0000800000800A00000K00K\ 0gK0g00hL0hK0jK00K00N00H0kH0k00kS0lU00Z00_0la00d00d0000mh00j00000m0000n0\ 00n0000000or0xt0xu0uv0ux0sx0sx00x0<3>0y00000y0<2>0y0zy0zy0zy00y00y0zxyzx\ vzx0ywu0vt0ut0qs0ps0pr00000000r0pq00q00q0000000oqz0000000p00qyo00p00pryq\ tyqwxqyxqy0qxwpvvpvuou0lttjstjq0hotbmsSXsQWsNVpJSpIG00000000F0G00DC0DB09\ A07606500500406400300000x00xv02vww00w0uwtuwtt2t02s0vs0vr01qr1q0uq00nq0nq\ 0kqukn0il00j0hjt0it60r6gq50i00h00h00300f00S00F00F00E50D00C00C00700000060\ 804805005000800860905900000068z08yp0yqoysoxvoxvo9vo90ox8ow00w0000AtJnrJn\ pJmoJmnKkiKjfKkdK000000C00E00F00F0000<3>000wx0twxswwpvwnvu0uu0ttmtr0tq0s\ pksp0rn0pmkokkojjljjkiij0ij000000000y00x00xzyxzxwyvw0tuxouxosvmsulqsj0qi\ ophophm00l00k0hj<3>0hh }

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MOTD 031114_Born from the Dust
by Albrechtx 03 Nov '14

03 Nov '14

HI, every now and then a picure turns up that does not resemble any one seen before. As the main part is surrounded by dust which reminds me of the chaotic matter filling the universe the title seems justified. The combination Newton-Secant-Mmods has been used before but with completely different results. As mentioned before the inside one -Secant- is etremely unpredictable and the reason for a surprising variety of deails that maintain a strict order supplied by the Newton shape. All parts share the same center, the Mmods allotment is visible only in some details. ; https://www.dropbox.com/sh/ajf42nh08xl1sju/AABePMhktKPNtLohnWfnOgVva?dl=0 ; Albrecht --------------------start par--------------------------------------------- 70105-20 { ; Born from the Dust ; Newton-Secant-Manymods ; 0.14.50.62 Reso 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sqr/exp/sin passes=t center-mag=-0.280157/-0.0448774/0.3161124/1.1324/-90/-1.2337353361147052\ 1e-014 params=-0.05825983458967864/0.3785210730307932/70105.07064900114/11435.2\ 207180221/151024.0204808192/384.32768524388/120.00482000595/128.10076810\ 01/256.1007682001/512.2007683001 float=y maxiter=3072 inside=maxiter periodicity=0 rseed=-2436 colors=00yla00d00d0000mh00j00000m0000n000n0000000or0xt0xu0uv0ux0sx0sx00x\ 0<3>0y00000y0<2>0y0zy0zy0zy00y00y0zxyzxvzx0ywu0vt0ut0qs0ps0pr00000000r0p\ q00q00q0000000oqz0000000p00qyo00p00pryqtyqwxqyxqy0qxwpvvpvuou0lttjstjq0h\ otbmsSXsQWsNVpJSpIG00000000F0G00DC0DB09A07606500500406400300000x00xv02vw\ w00w0uwtuwtt2t02s0vs0vr01qr1q0uq00nq0nq0kqukn0il00j0hjt0it60r6gq50i00h00\ h00300f00S00F00F00E50D00C00C00700000060804805005000800860905900000068z08\ yp0yqoysoxvoxvo9vo90ox8ow00w0000AtJnrJnpJmoJmnKkiKjfKkdK000000C00E00F00F\ 0000<3>000wx0twxswwpvwnvu0uu0ttmtr0tq0spksp0rn0pmkokkojjljjkiij0ij000000\ 000y00x00xzyxzxwyvw0tuxouxosvmsulqsj0qiophophm00l00k0hj<3>0hh0gh00f0fe0c\ d0cY00V00U00N00O000<4>000<2>0000800000800A00000K00K0gK0g00hL0hK0jK00K00N\ 00H0kH0k00kS0lU00Z00_0 }

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MOTD 021114_Link Included
by Albrechtx 02 Nov '14

02 Nov '14

HI, two images today. Using the "old" usual colormap again. The images are "Hermaphrodites" having lost some own features and taking some of the other, but I think the reult is striking. Did not succeed to "fill" the Newton center. It´s a hard nut as we say in Germany. Still trying - maybe another one will be added. The parfiles can be copied using the dropbox link. Remmber: It´s only temporary until the next MOTD. ; https://www.dropbox.com/sh/qll5zqd0e8w3cpp/AACKntgnVGcnW4F7EljCajwwa?dl=0 ; Albrecht

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MOTD 021114_Newton-Mmods Clone
by Albrechtx 02 Nov '14

02 Nov '14

HI, two images today. Using the "old" usual colormap again. The images are "Hermaphrodites" having lost some own features and taking some of the other, but I think the reult is striking. Did not succeed to "fill" the Newton center. It´s a hard nut as we say in Germany. Still trying - maybe another one will be added. The parfiles can be copied using the dropbox link. Remmber: It´s only temporary until the next MOTD. ; Albrecht

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MOTD 011114_Mandel Star
by Albrechtx 01 Nov '14

01 Nov '14

HI, this is an MFR_10 image. Found in an unfinished image cleaning my Fractint Folders. The link is temporary, valid until the next post. ; https://www.dropbox.com/sh/u0h0q4ezblmbrvn/AACcCGRcOj8UtCqQN1fFto-Ia?dl=0 ; Albrecht ---------------------start par--------------------------------------------- 71653y-2 { ; Mandel Star ; Time 0.09.10.12 1280/1024 ; MFR10 Formula ; Newton-Secant-Phoenix-Mmods-Bees reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_10 function=cos/exp/exp/sin passes=t center-mag=-0.41154086343319380/-0.65162884774361740/1774.485/0.8835/-2.\ 2080583863099954/-0.622371322668555216 params=-0.05825983458967864/0.3785210730307932/71635.03564901002/14253.2\ 207090221/151024.0204808192/384.32768524288/384.00482000595/128.30076830\ 01/256.3007682001/512.2007681001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=-4 periodicity=0 rseed=-2436 colors=000oTm<48>636535424<3>000VO2<15>970860650<3>110zh3<35>A70860750<3\ >110wON<3>_EDUCBO99<2>622DL6<2>351gy2<44>580570450<3>010LKXEDM76BSQO<38>\ 433333322<3>000pOa<3>MAGF6A735eFo<2>A3DJ57<4>301pUn } frm:multifractal_10 {; Albrecht Niekamp 16.11.2012 ;P1 spider-julia-seed ;RealP2 Left: 5 Digits_Channels: (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul 5_Mmods 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_ManyMods_Number of sides 2 Digits_Phoenix 2 Digits_Spider ; 1 Digit_ TransitionReset - Shape: 0_no 1_DbleMand 2_Iter-reset 3_both +5_warp ; 4 Digits_TransitionReset - Ch 2-5: 0_no 1_z-reset 2_Iter-reset 3_both +5_warp ;ImagP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digits_Mand/Jul (2 var) 2 Digits_Secant 4 Digits_Bees ;RealP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;ImagP3 Left: Shape: Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RealP4 Left: Outside: Warp-factor (fn2 is used) ; Right: Outside: 4 Digits+1fractal digit_Border-out 4 Digits+1 fractaldigit_border-in ;ImagP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_warp factor (fn2 is used) 4 Digits+1 fractaldigit_border1 ;RealP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_warp factor (fn3 is used) 4 Digits+1 fractaldigit_border2 ;ImagP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_Warp factor (fn4 is used) 4 Digits+1 fractaldigit_border3 ; Alternate : Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digits_Frequency 2 Digits_Waterlevel 2 Digits_Amplitude ;fn(1) shared by many-mods+bees ; le=0 z=pixel da=real(p2) dd=trunc(da) 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 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) ; 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) ex0=d>4 da=da-d*10000 d=d-5*ex0 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) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; 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 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-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 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) 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=z*le+pixel*(le==0) 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) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan 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 Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman 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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