November 2012 - Fractint - mailman.xmission.com

Albrecht's multifractal_10 fractal, "Multiple Directions"+ a zoom
by Hal Lane 10 Nov '12

10 Nov '12

I put a rendering of Albrecht's multifractal_10 fractal, "Multiple Directions" on my server: http://www.emarketingiseasy.com/TESTS/FOTD/MULTDRCT.GIF And here's an anti-aliased zoom into the top of "Multiple Directions" along the centerline: http://www.emarketingiseasy.com/TESTS/FOTD/MultDrct1.jpg If you calculate other Multifractal_10 fractals, make sure that the capitalization of the first letter of the "formulaname" in the par -- (Multifractal_10 or multifractal_10) is the same as the frm:'s formula name... Albrecht's .par specification -- with the Multifractal_10 formula added is below. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----------start par------------------------------- 1536164e { ; Multiple Directions ; jul-sec-bees-phoen-mand ; time 24.52 1600/1200 ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr_10.frm formulaname=Multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+1.33193274819753900/-0.000000000005385\ 46/9.345637e+008/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/413\ 62.64595712822/14235.4911030602/152048.0404808048/\ 384.1604894048/384.00482000595/256.1007683001/512.\ 1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000zzizzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I\ 88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8\ xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6\ >vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P\ 3DN2CK2A<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>civflvinvl\ qvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI\ <3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0c\ e7_jFRoNIzb0zj0000zr0zz1zzCzzT } frm:Multifractal_10 { 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) 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) c=p1 else z=z*le+pixel*(le==0) c=p1 endif elseif (ab) c=z z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) z=0 endif elseif (d3) if (ab) c=p1 z=z*le+pixel*(le==0) else c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z z=0 else c=z 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 c=c*sp+z else z1=z^p-1 z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold zold=z z=z1 else z2=fn1(z)+c z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb 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 else z2=z*z z=z2*z2+p6*z2+c-p0 endif else z3=z 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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Multifractal_10
by Albrecht 10 Nov '12

10 Nov '12

Hi, like Jim, every now & then, when the time is right, I will submit an image only using above frm which by now every one should have downloaded. Today?s image came about zooming into one of my MFR-10 basic images and using Lee?s colours. After completion, checking my records I found that an almost identical image is on Lee?s Multifractal DVD. If two people find the same image by chance there must be something special to it! The Mandel in the middle, MIM image I call it, is Jim?s territory- but not completely this time, check it out. As possibly not everyone can generate MFR images I think it would be great if Hal or Paul could make it available for watching/ download . Fractals Are Fun! Albrecht ------------------------------------------Start Par---------------------- 1536704 { ; Unexpected_mandel ; Secant-mmods-bees-phoen-newt ; time 0.07.44 (XP dos shell) ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.50145103141349900/+0.100170572669321\ 20/6662.918/1/-105.000000000013912/1.6730103413742\ 3699e-011 params=-0.05825983458967864/0.3785210730307932/153\ 67.64595767025/14235.4911030602/152048.0404808048/\ 384.1604894048/384.00482000595/256.1007683001/512.\ 1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000oNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>M\ b8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiOD\ jQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE\ 6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<2>_4H<3>P3DN2C\ K2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1\ ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6\ Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotv\ sww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XC\ AaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI\ <3>UnXRm_NlcJkgFfpAaz<6>_5fc0ce7_jFR }

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FOTD 08-11-12 (Slightly Deficient 6.5])
by Jim Muth 08 Nov '12

08 Nov '12

FOTD -- November 08, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: The exponent of Z in the past few days' images has been somewhat greater than two. The exponent of today's image is 1.9, which is somewhat less than two and also explains the name "Slightly Deficient". The parent fractal is basically shaped like a Mandelbrot set, as are all such fractional fractals with an exponent close to 2. This parent is rotated about 180 degrees, with two large period-2 buds on the eastern side of the main bay, one north and one south of the X-axis. A large disconnected minibrot lies just east of the southern bud, with a smaller disconnected minibrot nearby. Today's scene with its scrambled minibrot at the center lies not too far from this smaller minibrot. The rating of 7-1/2 is based on the colors. The little math interest is hardly enough to deserve a higher rating. The calculation time of 2-5/6 minutes is reasonable, though slower than would be preferred. Avoid all impatience by viewing the finished image on the official web site at: <http://www.crosscanpuzzles.com/Archives.html> Check the glorious high-definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the back images at: <http://www.Nahee.com/FOTD/> Decreasing clouds and increasing temperatures prevailed here at Fractal Central today. The high temperature of 46F +8C would have felt warmer if the winds had not been so brisk. The next FOTD will be posted in 24 hours. Until then, take care, and see the official web site for the closing remark. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Slightly_Deficient { ; time=0:02:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.519854358476405/-0.2217400613360854/\ 5.712965e+007/1/-95/0 params=1.9/0/1.9/0 float=y maxiter=3200 inside=0 logmap=277 periodicity=6 colors=000A0Q50LA0P50JA0O50IA1M52GA3N54FA5O56IA7N5\ 8HA9LAAZABZA7OADXAEXAFXABUAFRAITAHQAKNAIPAMLAKIAOF\ AKCAN9AL6AH1AJ3AK4AL5AN7AO8AP9AQBASCATDAUFAVGAXHAY\ JTMPXKLaIHeGDiE9y80zF6zSBgGCQ7CTACVDCXFCZIC`KCbNCd\ PCfTChVCjZCl`CndCpfCrjCtlCvpCxrCtoBqkAmg9jd9f`8cX7\ _U6XS6UP5QM4NJ3JH3GE2CB1980660881AA2BC3DD4EF5GH6HJ\ 7JK7KM8MO9NQAPRBQTCSVDTXEVYEW_FYaGZcH`dIafJchKhmLd\ iK`fKXcKU`JQYJMVJISJFPIBMI7JI4GIERNN`RXjVetZcqbamf\ _jjYgm_bk`ZjaUibQhdNifKihIjjFjlCknAklBjkCijDiiEhhF\ ggGgeHfdIfcJebKdaLd`McZGX_Nc_Tj_ZqVcjlVcmUgnTlpSqq\ RvrRzsWss`mtegtjauoWutQuyKotJipIclHZhHTcGN_FHWECSE\ BUE5P_5Tc5WgQhcLlXGqQBvCCuKCtRCtYgmjknhongsoevodok\ YihSbdMXaGRZAV_BY`B`aBdbBgcBjdBneBqfBtgBpdDmbEicGf\ hHbmJ_mKWmMTmNPmPMmQJmRMrPPvOSzMVzLYzK`zIczHfzGizE\ lzDozCzz8zzNzzGzz9zzHzzPzzXzzdzzlzzszzbzzMzz5zzKzz\ ZzzlzzkzzkzzkzzkzzczzWzzO } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 07-11-12 (More of the Same [No Rating])
by Jim Muth 07 Nov '12

07 Nov '12

FOTD -- November 07, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that comes about when the expression Z^(2.06)+C is iterated 18 levels up the hyperladder with no function applied. This parent resembles a Mandelbrot set with two main buds and a large split along the negative X-axis. Today's scene is located near the tip of a wedge-shaped area of chaos extending westward just south of the split. The name "More of the Same" indicates that this is the fourth consecutive similar image. The similarity prevents me from giving it a rating. The calculation time of one minute will pass in a flash. The flash may be avoided by viewing the image on one of the web sites. The finished image is at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> The day dawned cloudy here at Fractal Central, then the clouds hung on for the rest of the day. The forecast hints at snow tonight, but the temperature of 43F +6C would seem to make that unlikely. The next FOTD will be posted in the proper universal time. Until whenever that is, take care, and think positive. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= More_of_the_Same { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.174308345901659/-0.0904782035179286/\ 6.741058e+012/1/115/0 params=2.06/0/18/0 float=y maxiter=1800 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000nJzjMzfPzcSz_VzWYzT`zPczMezNgzNhzOjzOkzP\ mzPnzPpzQqzQszRtzRvzSwzSyzSzzMvzGszNszUrz`rzfrzdUz\ b6zd3zCBzR5zTTzMbzElz6vzEwzMxzUyzbzz`yzZxzXwzUvzSu\ zQtzOszLrzJqzHpzFozCnzAmz8lz6kz3izE`zQRz`Izl8zfDz`\ IzUNzOSzIXzBbz91zA3zC5zE7zEAzEDzEGzEJzEMzcFzYRTXPT\ VMTUKTXPW_TZbXae`dhdgkhjnlmcWWcXovSjvOevKavFXvLTuH\ OuCJu8Fu4Au06q17m28i38e49a5AY5AU6BQ7CM8CI9DAAAAAAA\ 9AA9AA8AA8AA7AA7AA6AA6AA5AA5AA5AA4AA4AA3A_3La2Mb2M\ d1Nf1Ng1NMMpNNoOOnPPmPQlQRkRSjSTiSThTUgUVfVWeVXdWY\ cXZbY_aY_`Z`__aZ`bY`cXadWbeVcfUcfTbcRaaQa_P`YO_WN_\ UMZSLYQKYOJXMHXKGWIFVGEVEDUCCTABT8AS69S48W4A_4Bc4D\ g4Fk4Go4Is4JoANlFRhKVePZaVaZ_eVdiSimPnpXnrcnsjntqn\ uobqmSnkHki6hi6Pi65g86e97cA7aB8_C9YE9WFAUGBSHBQICO\ KDMLDKMEINFGOFHPFHPFHQFIQFIQFIRFJRFJSFJSFKSFKTFKTF\ LUFLUFLUFOTGQTGSTGVTHXTHZSHaSIcSIeSIhSJjRJlRJoRKqR\ KsRKuNMvKOwGPxDRyASuDUqGW } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Fractint for Windows and Multifrac_10
by Albrecht 07 Nov '12

07 Nov '12

Versions 1 to 7 work well with the windows version. In multifrac_8 I added some addtitional code and variables which were needed for the reset commands which handle the transitions between the participating programs. They are resposible for the lack of chaotic portions and supply joint centers in images done with the latest edition. Versions 8 to 10 produce a "Buffer Overrun" as soon as they are loaded and Fractwin crashes instantly. Therefore only users running clean dos can load multifractal, only a few are left. I run multifractal also in the DOS Shell but I need a modified XP Version without net services. I?m sorry to say, that Richard refuses to increase the internal buffer, possibly only 1 line in the source code "STACKSIZE 7684 ; was 7172" and then recompile it. My bugreport is dated Aril 19, 2011 and when I sent a reminder was told to issue a new one, that?s all. The source code is available from http://iteratedynamics.codeplex.com. Can anybody help, maybe Jonathan ? I can imagine some more activity in the forum wouldhelp it survive a little bit longer Albrecht

3 5

FOTD 06-11-12 (Fractal Warming [7])
by Jim Muth 06 Nov '12

06 Nov '12

FOTD -- November 06, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's little oddity lies in the parent fractal that appears when the expression Z^(2.12)+C is iterated at ground level with no function applied. This parent is shaped like a squashed Mandeloid with a large main bay and a large period-2 bud on the north shore line. Today's scene lies in a minor valley on the west side of this bud. I named the image "Fractal Warming" because of the fiery reds surrounding the central minibrot, and also because of a recent show on TV about the dangers, real or imagined, of 'climate change'. The rating of a 7 is near FOTD average. Some extra effort on the coloring might have raised the rating a point or so. The calculation time of 1-1/3 minutes is well within reason. A bit of additional time might be saved by viewing the image on one or more of the web sites. The image has already been calculated and posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are available at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds, with a temperature of 45F +7C made today feel quite like November here at Fractal Central. Fractal cat Nicholas took advantage of the sun when it was shining and his food dish when it was not. The humans made it through election day without becoming too concerned over who might be the winner. Regardless of who wins, the next FOTD will be posted in the near future. Until whenever, take care, and climate change (aka global warming) is real! It has already begun! We had better believe it and start preparing! Do not make the error of thinking we can stop it or even slow it by forcing a few controversial bills through congress or by signing a few emission reduction treaties that are sure to be violated. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Warming { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.429916265389/+0.98567433255/8.6e+007\ /1/-57.5/0 params=2.12/0/0/0 float=y maxiter=2750 inside=0 logmap=186 symmetry=none periodicity=6 colors=000ZYh`YgbZge_fg_ei`dkadnacpbbrcatcarbbpaco\ `dm_ek_ejZfhYgfXheWicWiaVj`UkZTlXSmWSmUQnSOnRNoPLo\ OJpMIpLGqJEqIDqPHkWLfaP`hTWoXQu_LqYJnWIjUGgSFcQD`O\ CYMAUK9RI7NG6KE4GC3DA1A90A809708707607606505405404\ 30330220210110000zCArB9mB9hB9cB9ZB9UA9UA8UA8UA8UA8\ UA8U98U98U97U97U97U87U87U87U87U86U86U76U76U76T76S7\ 5R65R65Q65P65P65O65N54M54M54L543fU3eT3dS3cR3bR3aQ3\ `P3_O2YO2XN2WM2VL2UL2TK2SJ2RI2QI2PH2OG1MF1LF1KE1JD\ 1IC1HC1GB1FA1E90001D91C80A709608607506405304303202\ 1010ttFrrEqqEooDnnDllDkkCiiChhBffBeeBccAbbAaaA__9Z\ Z9XX8WW8UU8TT7RR7QQ6OO6NN6LL5KK5JJ5HH4GG4EE3DD3BB3\ AA2882771551441220110Um9Tl8Tk8Sk8Sj8Sj8Ri8Ri8Rh8Qg\ 8Qg7Qf7Pf7Pe7Pe7Od7Oc7Oc7Nb7Nb7Nc6Oc6Pc6Qm6Rm6Sm6T\ m6Um6Vw6Ww6Xw5Yw5Zw5_w5`w5aw5bz5cz5dz5ez5fz4gz4hz4\ iz4jz4kz4lz4mz4nz4oz3pz3qz3rz3sz3tz3uz3vz3wz3zz3zz\ 2zz0zz0zz0zz0zz0zz0zz0zz0 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 05-11-12 (Pseudo-Symmetry [6.5])
by Jim Muth 06 Nov '12

06 Nov '12

FOTD -- November 05, 2012 (Rating 6.5) Fractal visionaries and enthusiasts: The name of today's image is "Pseudo-Symmetry". The name refers to the shape of the parent fractal, which came about when I whimsically calculated the expression Z^(2.34)+C at a level 4.32 turns up the hyperspiral. At first glance this figure-eight- shaped parent appears to have 'origin' symmetry, but a closer look reveals that the symmetry is only approximate. Today's scene is located in a valley of a larger minibrot lying on a filament extending from a mis-shapen bud on the northeast shore line of the northern bay of the parent. The semi- symmetrical shape of the minibrot at the center of the image reflects the shape of the parent. The coloring is nothing exceptional, but with the minor math interest, still earns a rating of 6-1/2. The calculation time of 2-2/3 minutes lies within the normal range. As always, calculation may be totally avoided by checking the image on the FOTD web sites. The pre-calculated image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are available at: <http://www.Nahee.com/FOTD/> Today began with clouds here at Fractal Central, but in the afternoon, the sun finally made a brief appearance, its first since October 25. The temperature of 45F +7C was rather chilly for early November. Fractal cat Nicholas' anticipation is building as the arrival date of his new companion Callie nears. She is due on November 14. Meanwhile, the humans simply made it through another day. The next FOTD will be posted when it is ready. Until whenever, take care, and who are you voting against on Tuesday? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Pseudo-Symmetry { ; time=0:02:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.581511067122/+0.663743919851/1.3e+007 params=2.34/0/4.32/0 float=y maxiter=5000 inside=0 logmap=243 periodicity=6 colors=000pQgnPilOkkOniNpgMrfLtdKvbJxaJzcMydOxeQwf\ SvgUvhWuiYtj_skarlcrmeqngpoiopknqmnrkjsigtgdudavaZ\ wZWxWTyUQwSNwQKvOHrKHmFGhAGc5Fa2F_2EY2EW2DU2DU1CU1\ CT1BS1BR1AQ1AQ00Q19Q19P18N18K17K17K16F06F05F05F04F\ 04F03F03F02F02F01F01F00A09A08A08A08A07A07A07A07A06\ A06A06A06A05A05A05A05A04A04A04A04A03A03A03A03E02D0\ 2B02A02901701601501300200100wytwxswwrmvqmuqmtpctoc\ sncrnUqmUplUpkUokUnjUmiPlhPlhPkgPjfPiePheLhdLgcLfb\ KebKdaKd`Jc`Jb_EaZE`YD`YD_XDZWCYVCXVCXUBWTBVSBUSBT\ RASQASPARP9QO9PN9OM8OM8NL8MK8LJ7KJ7KI7JH6IH6HG6GF5\ GE5FE5ED5DC4CB4CB4BA3A9398388287IDaL7eO2hS4ZV5PY6F\ eCXbGV`KTaPYaTbbYgbalbeqqE8lPQgZgchxcfocdfccYcaPc`\ HmbMmdRmeVmg_mhcmjhmklciecg_cfTcdNccHceNmfTmgZmhdm\ ijmjombgmV`zOTzGMz9FzJSzScz`ozXpzUqzUqzlnzUozUpzUq\ zUqzcrzcszcszctzcuzcvzcwzcxzcyzcyzcxzcwzcvzcvzcuzc\ tzctzcizc_zcQzcGzc6zc9zcB } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 04-11-12 (Two and One Half [7.5])
by Jim Muth 04 Nov '12

04 Nov '12

FOTD -- November 04, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Things have finally settled down enough here at FC to once again devote energy to the FOTD. Today's image is a scene in the parent fractal that results when the expression Z^(2.5)+C is iterated 5.2 levels up the hyperladder with no function applied. This unimpressive parent resembles a Mandelbrot set rotated so that the area normally on the west faces northwest, with a large jagged bay where its East Valley should be and a main bud that has two equally large sub-buds. Filaments extend from each of these sub-buds, with large minibrots on these filaments. Today's scene lies in the large minibrot on the filament extending from the north sub-bud. This minibrot has two 'main' buds, with a rudimentary bay between them. This bay is the home of today's image. I rated the image at a 7-1/2. If I had had more time, I might have improved the colors enough to raise the rating to an 8. As it is, the image is not all that bad to look at, and well worth the 1-3/4 minutes required to calculate it. The name "Two and One Half" refers to the exponent of Z. The finished image is posted on the official (whatever that means) FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> enriched versions of the image and related images are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are available at: <http://www.Nahee.com/FOTD/> Today was cloudy with a temperature of 43F +6C. The fractal cat is doing fine. His new companion is due on November 14. The humans are still in the clean-up process. I have much to say about the big N.E. storm and the things I am hearing about it, but these things are mostly political, with lack of knowledge abounding, and this is a fractal list. I'll soon voice my opinion on the official FOTD web site, where I will be starting a blog where anything goes. The next FOTD will be posted when I get a 'round tuit'. Until whenever, take care, and instead of continuing to blather about the Arctic ice, let's talk about what's happening to the much more plentiful ice in the Antarctic. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two_and_One_Half { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-1.313645604957682/+0.6344385534013239/\ 5.515427e+010/1/-97.5/0 params=2.5/0/5.2/0 float=y maxiter=2250 inside=0 logmap=248 periodicity=6 mathtolerance=0.05/1 colors=00006c07c08c09c0Ac0Cb0Ea0G`0I_0KZ0MY1OX2QX3\ SX4UX4XX9Z_E`aJbdOdfTfiYhkbjnflpgimgfkhcih`fiYdiVb\ jS_jPYkMWkJTlGRlEPiFRgGSeHUcIVaJX_KYYL_WL`VJaUIbTG\ bTFcSDcRCdRAdQ9eP7eP6fO4fN3gN2gS7mXCrUGoSKlQOiOSgL\ WdJ_aHcZFgXCkUAoR8sO6wMAqNDkOGfPK`QNWQQQRULSXFT_AT\ XBRVBQTBORBNOBMMBKKCJICHFCGzzzzzczzCzmBzcFzUJzKMrF\ QpAUkAXc8TW6NO4HG2C71094AB6HD9OEBQGDSIGVJIXLL_NNaO\ PcQSfSUhTWjY_NUWPRSQ`DYd4aZDXULTPTPJaKEiG9qCIZ5CYJ\ 7YW2Yh8bVDfHLXPTNW_EbdqVdlZdhadddd_gdWjdSmdOpXWiQc\ bJkWCsP5zJLsN`lQpfTjeWdeYZe`TebNedHegBei6ekpR7T4lL\ LfDa`6qV9kYCf`EabHXeJSgNXhQciUkjKdcmskzzlVZmSQnQHo\ RJkSKgTLcUN_VOWWPSWQPZfMavJNWOjKWQpjU6QPFPOXWLOPHX\ O8`QLIvHUdvPKfVMS`NtNqZIMOUN28_2d48eEucVfdSSeQHzAG\ zEFzHEzL9z_BzWCzSmz0BzpCzfDzXzzOzzOzzOzzIzzKzzLzzN\ zzGzzJzzMzzizzczzZzzTzzmzz`zzhzzbzzYzzTzzMzzNzzOzz\ ozzezzXzzlzz_zzkzz_zzdzzZ } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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The return of the FOTD
by Jim Muth 04 Nov '12

04 Nov '12

Fractal visionaries and enthusiasts: We have experienced some problems both here at New FC and back at Old FC. But the problems are under control (I hope) and the FOTD will resume on November 4. Jim Muth

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Cosines Of Three
by Mike Frazier 03 Nov '12

03 Nov '12

In a prior post called Mixing Cosines I substituted a cosine term instead of the usual z to a power in the parallel resistor formula. The cosine added intricate detail to the fractal but if you looked around with this equation you probably noticed there were only z ^ 2 power minibrots in the fractal. Is it possible to increase the order of the minibrots without losing the intricate detail of the cosine? Here is a link to a web page with an image and a formula that attempts to do that: http://www.fracton.org/fmlposts/cosines_of_three.html The PAR file for the image is: CosinesOfThree { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20121102_1610 passes=1 float=y center-mag=-0.3806336003340345/-3.816249585923092e\ -14/53333334000/1/0/0 params=-1/1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20121102_1610 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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