December 2013 - Fractint - mailman.xmission.com

FOTD 20-12-13 (Missing Seahorses [A-7,M-8])
by Jim Muth 20 Dec '13

20 Dec '13

FOTD -- December 20, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: In yesterday's image we checked the ersatz East Valley of the parent Zexpe fractal; in today's image we check the ersatz Seahorse Valley. We certainly do find a lot of broken seahorse tails there, but few intact seahorses. This lack of seahorses is the inspiration for the name "Missing Seahorses". But who needs whole seahorses when their dismembered tails make an image with an art rating of a 7 despite the preponderance of brownish and reddish hues? The somewhat liberal math rating of an 8 is based on the minibrot at the center, which is the mirror image of the parent fractal and has the pathological growth on the southeast side of the main bay rather than the southwest side. This is the first time I have noticed this relation, but certainly not the first time it has happened. The calculation time of 7-1/2 minutes is slow, and I'm not sure the image is worth it, but the FOTD web sites are always ready to cure the problem of slowness. The completed image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudy skies and occasional sprinkles of rain made today far less than ideal here at Fractal Central, though the temperature of 43F +6C kept the outdoors reasonably comfortable. The fractal cats were too busy keeping an eye on each other to notice what was happening outside. The humans kept themselves busy making final preparations for the big day. The next FOTD will be posted in a number of hours. To find out the exact number, check here every few hours. Until whenever, take care, and everyone has the freedom to speak his mind and the freedom to disagree with the spoken opinions of others. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Missing_Seahorses { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=+0.08486949666/+0.761618516836/735760/1\ /-35/0 params=2.71828182845905/0/0/0 float=y maxiter=21000 inside=0 logmap=-626 periodicity=6 colors=000000300800C00C00F10F20F30H40L50O60O70S91U\ C2WE3XF4_G5bH6eI7hLBkPFnUKqZPtaUwdZzgczjezmgzpiA0E\ A0FA2FAAGA1GAAHA4IAAiAAiA3JAA6AALAAYAAXAAaAAYCAdD7\ dEFbFKmGLmDCm9Lz6Lz7Kz8Uz9UzAUmBUjCUhDUeEUcFU`GUZH\ UWHUUIcSJcPKcNLcKMcINcFOcDPcAQj8Wh0bm3`m1cm8amE_zK\ ZzQYzWXzaWzgVziUzkQzmNzoJzrGztCzv9zx6zzUzYpz6pk7pl\ 7pm7pn8po8pp8pp9pq9pr9psAptApuApuAhtBatCVsCzszzrzz\ rzznJzmLzmNzmOzmQzlRzlTzlUzlWzlYzkZzk`zkazzzzzzzzz\ zzzzzzzzzzzzzzzhzzfzzczzazz_zzYzzVzzTzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzVzzYzz`zzczzf\ zzhzzkzznzzqzztzzwzzyzzvzzszzqzznzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzQzzUzzYzzazzezziz\ zlzzGzzGzzGzzGzzGzzUzzgzzuzvvzuvzuvztvztvztvzsvzsv\ zrvzrvzrzzqzzqzzqzzrzzszzszztzztzzuzzvzzvzzwzzwzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 Big Riddle
by Albrechtx 20 Dec '13

20 Dec '13

HI, this one really gets me. Deleted everything the software could use as input, also "Inside3 - which was theoretical anyway - and the double mandel command which haas no effect if the mandel frm is not chosen. Now as zero frms are chosen, all reset comands are invalid and do not show. Nevertheless a good fractal image turns up, showing structures I´ve never seen before. What is it I have found? Here is the link with the experimental frm and two images, second one is a zoom number 4 ist from the first series with mandel as inside3. https://www.dropbox.com/sh/0g96upxjx4tga9l/LLM-_0-v1V Albrecht

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Two Experimantal Images
by Albrechtx 20 Dec '13

20 Dec '13

Sorry there was a small error in the frm: change line 3 of the test as follows: from: da=real(p2) into: da=real(p2)-1000000 Albrecht

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Experimental Images
by Albrechtx 20 Dec '13

20 Dec '13

HI, these are 2 experimental images that I think must be shared. They came about writing and testing the updated MFR-10 frm. As you can see from the PAR there is no input frm except mandel as inside3 but inside of what??? Looking forward to any suggestions of analyzings from the experts. The second image is a maximum zoomout. Albrecht =============start parameter ============================================= Eperiment-2 { ; Fractint Version 2004 Patchlevel 11 ; FRM unknown -created by the software ; apperently using calculation rules ; without traceable input reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.51862442788440650/-0.14562203733476600/26.64799/1/133.1388\ 13596081661/-1.2762218949139712 params=-0.05825983458967864/0.3785210730307932/1000002.3259571/15234.050\ 6030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/512\ .1007683001/512.1007683001 float=y maxiter=3072 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>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } Eperiment-3 { ; Fractint Version 2004 Patchlevel 11 ; FRM unknown -created by the software ; apperently using calculation rules ; without traceable input reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.52844209144796770/-0.14380698937523510/225.5329/1/128.1486\ 20333067299/-1.29332959385084645 params=-0.05825983458967864/0.3785210730307932/1000002.3259571/15234.050\ 6030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/512\ .1007683001/512.1007683001 float=y maxiter=3072 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>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } frm:multifractal_12 { ; Experimental - for testing only -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 5_Mmods ; 6_Phoenix 7_Newton 8 Spider ; 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 1 Digit_Manowa ;IP3 Left: Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_magfrm 1 digit_mowfrm ;RP4 Left: 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 ; 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 ; 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) z=pixel ;Spider c=p1 else z=pixel c=p1 ;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) c=p1 ;Julia z=pixel 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) 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) 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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FOTD 19-12-13 (Grounded in Zexpe [A-7,M-6])
by Jim Muth 19 Dec '13

19 Dec '13

FOTD -- December 19, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image takes us to the fractal that many years ago was named the Zexpe fractal by Lee Skinner, who did extensive work on it. The Zexpe is the fractal that results when the expression Z^(epsilon)+C is iterated in the Mandelbrot mode. The usual Julia variations also exist, but we are not concerned with these in today's image. The Zexpe fractal is just one of an infinity of fractals that can be created by the manzpower formula of Fractint when the value of the exponent is varied. But the manzpower calculation involves complex logarithms, which are multi-valued and when calculated by the MandelbrotBC3 formula, can create an infinity of fractals for every possible fractional value of Z. So there are actually an infinity of Zexpe fractals to be explored. Today's image lies in the Zexpe Mandeloid fractal that comes about when the expression Z^(e)+C is iterated by the MandelbrotBC3 formula at ground level of the hyperladder with no function applied. This parent resembles a quadratic M-set rotated 90 degrees, with an ersatz main bud on the north side and an ersatz East Valley on the south side. There is some kind of pathological growth on the southwestern side of the main bay, but this does not enter into today's image, which lies in the East Valley of the parent. The name "Grounded in Zexpe" implies that the image lies in one of the Zexpe fractals and was calculated at ground level of the hyperladder. The art rating of a 7 and math rating of a 6 indicates that the artistic worth is about average and there is little new stuff to be found in the math aspect of the image. Luckily, the calculation time of 1-3/4 minutes is fast enough to keep fidgetiness and impatience at bay. The web sites can eliminate the fidgetiness. Enjoy the finished image at: <http://www.crosscanpuzzles.com/Archives.html> Where the image may be seen without the chore of calculating it. And be sure to check the variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The sunshine was dimmed by haze today here at Fractal Central, but the temperature of 41F +5C was the warmest in two weeks. New fractal cat Jazzy celebrated the thaw by starting a tussle with Nico, but when Nico forgot his strength and got a bit too rough, Jazzy called it quits and ducked under the bed. The fractal humans simply had another normal day. The next FOTD will be posted in the appropriate time, whenever that might be. Until then, take care, and before we condemn the evil big greedy corporations who care only about their profits and don't concern themselves with poverty, let's check to see who is giving them the money that makes them so profitable. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Grounded_in_Zexpe { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.0911597350623097/-0.3661580031587182\ /1.7e+011 params=2.71828182845905/0/0/0 logmap=249 maxiter=5000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=0000KH0KH0KH0KH0KH0KH0KH0KH0JG0JG0JG0IF0IF0\ IF0HE0HE0HE0GE0GD0GD0FD0FC0FC0EC0EC0EB0DB0DB0DB0CA\ 0CA0CA0B90B90B90A90A80A809809709709708708708607607\ 60750650650650540540540430430430330320320220210210\ 11011010000000zp0zo0zn0zm0zl0yl5xkAxjFviKuhOthNrgN\ qfMpeModMndLmcLkbKjaKi`Kg`Jg_JfZIeYIdYHcXHbWHbVGaU\ G`UF_TFZSFYREXQEWQDVPDUOCTNCSMCRMBQLBPKAOJANIALG9J\ E9GC8EA8B97887577065053041030020010000000000000wzz\ rzzmzzjzzgzzdvzarz_mzYhzWfzUdzTbzSazR`zQZzQZzPXzPW\ zOVzOUzNTmMSzMSzLSzLSzKSvKTrJSmJRhIQcIQZHRUHRPGROG\ TNFXNE`MEcLKZKUUJcSJcRIcQHUPGUOFUMFUKEQIDMGCKEBICB\ GBAEA9C98A87877666555444333223112111000zzczzczzczz\ czzUzzKzzAzz0gU7jT6mS6pR6sQ6vP5zO5zN5zM5zL4zK4zI4z\ H4zG3zF3zE3zD3zC2zB2zA2z92z81z71z61z51z40z30z20z10\ zZDzYCzXCzXCzWCzWCzVBzVBzUBzUBzTBzTAzSAzSAzRAzRAzQ\ 9zP9zP9zO9zO9zN8zN8zM8zM8 } 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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A Pair To Draw To
by Brian Prentice 18 Dec '13

18 Dec '13

A detail from Jim's featured fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_73.png Brian Prentice

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FOTD 17-12-13 (Festive Merriment [A-8,M-7])
by Jim Muth 17 Dec '13

17 Dec '13

FOTD -- December 17, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the same parent as the previous two days' images. The location is in a small bit of debris in the area of Seahorse Valley of the parent, an area where rather jumbled chaotic scenery prevails. The scene lies deep enough in the parent that the features have become totally cubic, at least in today's image. The name "Festive Merriment" reflects the joyful mood created by the brilliant colors filling the image. Actually, the colors might be a bit too brilliant, which holds down the art rating to an 8. The math rating of a 7 is unchanged. The calculation time of 11-1/3 minutes is much too slow for comfort. But it is in these situations where the web sites excel at bringing relief. The completed image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A week or so ago I offered to name a fractal after the person who told me which species of calling bird is given on the fourth of the twelve Days of Christmas in the song of the same name. Since no one replied, there will be no fractal named for a FOTD fractal fan. Actually, the question was a trick. The commonly sung words 'calling birds' is a mistake. The true words are 'collie birds', which means black birds. The word is related to the british word 'collier', which is a coal miner assumed to be covered with black coal dust. Today began with light snow and a temperature of 14F -10C. The snow ended at 1pm after leaving 1-1/2 inches or 4cm of fresh snow on the ground, but the clouds hung on for the rest of the day, while the temperature remained below freezing. The fractal cats spent the day learning to play together. The new fractal cat Jasmine is now looking more like a small cat than a kitten, and Nico is treating her with more respect. The humans spent the day pondering the human situation. Luckily for me, the snow was the sweep-away kind. The next FOTD will appear almost by magic when the time is right. Until the right time, take care, and the Christian Bible says that the kingdom of heaven lies within. Does this mean that heaven exists only in the mind and Atheists are right when they say heaven is an illusion? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festive_Merriment { ; time=0:11:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=DivideBrot5 passes=1 center-mag=-2.159502924509663/+0.02573677242516395\ /3.270875e+008/1/23.75/0 params=3/3 float=y maxiter=32767 inside=0 periodicity=6 colors=000ojKqdHq_FtTAwMAzJAzDAzAAzAAzAAzAAzAAzAAz\ AAzAAzAAzAAzEAzKAzPAzUAzZAzcAzZAzUAzPAwKAwFAt99t99\ q99q99o88o88l88l88i77i77f77f77c66c66c66`66`66Y55Y5\ 5V55V55S44S44P44P44N44N44K33K33H33K33K33P44S44Y55`\ 66f77o88wAAzAAzAAzAAzAAq99l88i77f77c66`66Y55V55S44\ V55Y55`66c96fB7iE7lH8qL9tO9wRAzVAzWAzYAzaAzbAzgAzj\ AzlAznAzpAzsAzuAzxAzzAzzAzzAzxAzxAzuAzuAzsAzsAzpAz\ pAznAznAzlAzlAzjAzgAzeAwbAt_9qX9nU8kR8hO7eL7bI6_F6\ XC5U95R64O34L04M04L04K04K04K04K04K04K04K04K04K04K0\ 4K04K04K04K04K04K04K04K04K04K08K5ENAPOFcQKqPPzPUzN\ WzOZzOazMdzMgzNjzQmzTozWrzZuzazzbzzdzzfzzizzkzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmxzmv\ zmvzmuzmuzmuzmuzmtzmtzmtzmtzmswZswZswZswWrtWrtWrtS\ qqSqqSqqSqqPqoPqoPqoPqoNqmNqmNqmKqjKqjKqjKqjHqhHqh\ HqhFqfHqhHqhHqhHqhHqhHqjHqjHqjHqjHqjHqjHqmHqmHqmHq\ mHqmHqoAqXAqVAqSAqOAqMAqJ } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 17-12-13 ( [A-8,M-7])
by Jim Muth 17 Dec '13

17 Dec '13

FOTD -- December 17, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the same parent as the previous two days' images. The location is in a small bit of debris in the area of Seahorse Valley of the parent, an area where rather jumbled chaotic scenery prevails. The scene lies deep enough in the parent that the features have become totally cubic, at least in today's image. The name "Festive Merriment" reflects the joyful mood created by the brilliant colors filling the image. Actually, the colors might be a bit too brilliant, which holds down the art rating to an 8. The math rating of a 7 is unchanged. The calculation time of 11-1/3 minutes is much too slow for comfort. But it is in these situations where the web sites excel at bringing relief. The completed image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A week or so ago I offered to name a fractal after the person who told me which species of calling bird is given on the fourth of the twelve Days of Christmas in the song of the same name. Since no one replied, there will be no fractal named for a FOTD fractal fan. Actually, the question was a trick. The commonly sung words 'calling birds' is a mistake. The true words are 'collie birds', which means black birds. The word is related to the british word 'collier', which is a coal miner assumed to be covered with black coal dust. Today began with light snow and a temperature of 14F -10C. The snow ended at 1pm after leaving 1-1/2 inches or 4cm of fresh snow on the ground, but the clouds hung on for the rest of the day, while the temperature remained below freezing. The fractal cats spent the day learning to play together. The new fractal cat Jasmine is now looking more like a small cat than a kitten, and Nico is treating her with more respect. The humans spent the day pondering the human situation. Luckily for me, the snow was the sweep-away kind. The next FOTD will appear almost by magic when the time is right. Until the right time, take care, and the Christian Bible says that the kingdom of heaven lies within. Does this mean that heaven exists only in the mind and Atheists are right when they say heaven is an illusion? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festive_Merriment { ; time=0:11:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=DivideBrot5 passes=1 center-mag=-2.159502924509663/+0.02573677242516395\ /3.270875e+008/1/23.75/0 params=3/3 float=y maxiter=32767 inside=0 periodicity=6 colors=000ojKqdHq_FtTAwMAzJAzDAzAAzAAzAAzAAzAAzAAz\ AAzAAzAAzAAzEAzKAzPAzUAzZAzcAzZAzUAzPAwKAwFAt99t99\ q99q99o88o88l88l88i77i77f77f77c66c66c66`66`66Y55Y5\ 5V55V55S44S44P44P44N44N44K33K33H33K33K33P44S44Y55`\ 66f77o88wAAzAAzAAzAAzAAq99l88i77f77c66`66Y55V55S44\ V55Y55`66c96fB7iE7lH8qL9tO9wRAzVAzWAzYAzaAzbAzgAzj\ AzlAznAzpAzsAzuAzxAzzAzzAzzAzxAzxAzuAzuAzsAzsAzpAz\ pAznAznAzlAzlAzjAzgAzeAwbAt_9qX9nU8kR8hO7eL7bI6_F6\ XC5U95R64O34L04M04L04K04K04K04K04K04K04K04K04K04K0\ 4K04K04K04K04K04K04K04K04K04K08K5ENAPOFcQKqPPzPUzN\ WzOZzOazMdzMgzNjzQmzTozWrzZuzazzbzzdzzfzzizzkzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmxzmv\ zmvzmuzmuzmuzmuzmtzmtzmtzmtzmswZswZswZswWrtWrtWrtS\ qqSqqSqqSqqPqoPqoPqoPqoNqmNqmNqmKqjKqjKqjKqjHqhHqh\ HqhFqfHqhHqhHqhHqhHqhHqjHqjHqjHqjHqjHqjHqmHqmHqmHq\ mHqmHqoAqXAqVAqSAqOAqMAqJ } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 16-12-13 (Heraldry Shield [No Ratings])
by Jim Muth 16 Dec '13

16 Dec '13

FOTD -- December 16, 2013 (No Rating) Fractal visionaries and enthusiasts: Since today's image is a simple and quite small outzoom from yesterday's image, I gave it no ratings. But the ratings of yesterday's image certainly still apply. The small outzoom reveals that yesterday's six-pointed star is emblazoned on a fractal shield with three well decorated arms extending from the shield. The entire effect, with its dark purple background, speaks of heraldry, thus the name "Heraldry Shield". The calculation time of 2-1/4 minutes is slower than the more impatient fractalists would prefer. But instant satisfaction is always available on the web sites. The wait for satisfaction may be eliminated by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Mostly sunny skies and cold temperatures in the mid-20's or -3C made today feel just about right for the middle of December. The fractal cats checked the outside conditions then got into a tussle. The humans spent the day keeping busy, though we're not sure what the result of our effort was. The next FOTD will be posted in an estimated 24 hours or more. Until next time, whenever that might be, take care, and don't just claim that we must do something about global warming, get up and set an example by doing something. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Heraldry_Shield { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-3.866\ 658236643234/0/5.488e+009/1/90/0 params=3/3 float=y maxiter=1900 inside=0 logmap=340 periodicity=6 colors=00070AcShdShdTheUhfVifVigWigXihYihZjiZjj_jj\ `jkajkaklbklckmdkneknelofloglphlnjjokkpllpmmqmmqmn\ rmormosnpsoqtpqtqrursustvttvuuwvvwwvxxwxyxyzxyzyzz\ z0Qz0Ry0Rx0Sw0Sv0Su0Tt0Tt0Ts0Ur0Uq0Up0Vo0Vo0Vn0Wmq\ WlpWkpXjoXjoYinYhnYgmZfmZelZek_dk_cj_bj`ai``i``hF_\ hFZgFYgFXfFWfAWgAWfAWeAWdAWcAWbAWaAW`AW_AWZAWYPWXO\ WWOWVNWUNWSMWRMWmzWmsWhpWcmWZiWUfWPcWLZWIWWHRWGQWF\ QWEPWBOVDPWEPXGPXHPYJPYKQZMQZNQ_PQ`QQ`SQaTRaVRbWRb\ YRcZRc`RdaSecSedSffSfgSgiTgjThlThmTioTjpTjrUksUkuU\ lvUlxUmyUmuTlqTlmTliSkeSkaSkYSkURjQRjMRjIRjEQiAQi6\ Qi2Qi4Th6Vh8XgAZgC`fEbfGdeGhfHfeHddHbcH`cHZbHXaHVa\ HT`HR_HPZHNZHLYHJXHHXHFWHDVHBUH9UH7TH5SF2TH4SJ6SL7\ RN9RPBQRCQTEPVGPXHOZJO`LNbMNdOMfQMhRLjTLlVKnWKpYJr\ _Jt`IvbUxdUzdUyeUyecyecxecxecxezxezwmzwmzwmzwmzvmz\ vmzvmzumzumzumzumztmztmztmzzzzszzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 15-12-13 (Spirit and Matter [A-8,M-7])
by Jim Muth 15 Dec '13

15 Dec '13

FOTD -- December 15, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image takes us back to the DivideBrot5 formula, which I feel is still the best of the series. The parent fractal is an oversized quadratic Mandelbrot set caught in the act of starting to morph into the cubic M-set. Today's image lies rather deep in a small valley on the X-axis at the negative extremity of the M-set proper. The minibrot at the center is a pure cubic one. The number of elements surrounding it is confused however. I see a series of rings of 6 elements, and 6 is definitely not in the usual cubic series of 3,9,27... The cause of the discrepancy is that the quadratic influence is still very strong in the image, and 2x3=6. The name "Spirit and Matter" was inspired by the overlapping triangles framing the minibrot. This symbol represents the three aspects of the Supreme Spirit (Father, Son, Holy Ghost) descending to merge with the three upward-striving aspects of man incarnate (body, emotion, mind). The art aspect is quite good, and rates an 8. The math aspect is a bit shopworn but still rates a 7. The calculation time of 3-1/4 minutes is borderline slow. The web sites can speed up things considerably. The image has already been calculated and is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The fractal people woke up to 7 inches 18cm of fresh snow covering the fractal grounds, and found the fractal cats already checking the footprints left by the local feral cats in the snow in the back yard. It's too bad that the fractal gentleman had to spoil his day by clearing the sidewalk, but the fractal lady kept him warm with lots of freshly brewed hot coffee. The next FOTD will be posted soon, and I would not be surprised if it were in 24 hours. Until whenever, take care, and if you don't believe in spirit, it doesn't matter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Spirit_and_Matter { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-3.866\ 658236652909/0/1.615e+010/1/90/0 params=3/3 float=y maxiter=1900 inside=0 logmap=340 periodicity=6 colors=000500602703804906A08C0AE0CG0EI0FK2GL4HM6IN\ 8JOAKPCKQDKREKSFKTGKUHKVIKWKNXMLYPKZSJ_VH`YGa`FbcD\ cgCekBgn9iq8kt7mwAozKqzUuzZzzhzzrzzzzzzzzzzzzzzzjQ\ yhRwgRvfSudStcTsbTr`Uq_Up`PvZUoXYhVaaSdXUeWVfVWgVY\ hUZiT_jTajSbkRclRdmQfnPgoPhpOjpNkqNlrMnsLotLpuKrxL\ quKqsKqsKqsJqqJqoJqmJqiIqfIqcIr`IsXHuVHwTHzRHwOGwM\ GwKGwIGhJK`KNSLQrzzmrzhqzcpzUozKnzAmz5lz6kz6iz7gz7\ ez7czWIGYHDYF4_GA`HFaIKbJQcKVeL_fMdgNjhOoiPt8dY8eY\ 9gY9hX9jXAkXAmXBnXBpXBqXCrZCs_CsaDtbDudDueDvgEwhEw\ jExkFymFynFzpFzqGyoHymIykJyiKxhLxfLxdMxbNxaOw_PwYQ\ wWRwURvTSvRTvPUvNVvMWuKXuIXuGYuEZtD_mB`m9am7am6ja8\ jaAjaCja9mcZmccmccPLTOKSNKRNKQMKOLFNKFMKEKJEJIEIHE\ HHEFGEEFDDEDCEDADD9CD8CD7FGIHHTJKbLMmNPwOSuPUtcksc\ mrcmqcmpcmocmncnmcqlctkcwjczhczgczfczeczdczbmzamz`\ mz_mzZmzYmzUmzUzzUzzczzczzczzczzczzczzmzzmzzmzzmzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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