October 2003 - Fractint - mailman.xmission.com

Re: Classic FOTD ??-??-???? (Star for the Ages [8])
by Jim Muth 10 Oct '03

10 Oct '03

At 11:53 AM 10/10/03 -0500, Paul Lee wrote: >I just realised this was the Classic image you >re-posted just seven days ago. It must be one >of your most favorite of all time. :-) Actually, today's image is not identical to the 'Zodiac' image. Today's image has had its contrast enhanced in a separate graphics program. An A-B comparison will show the improvement. When I posted today's image, I didn't realize that I was re-posting an image that I had posted only a week ago. Things have been pretty hectic around here lately. When I found the image just lying around in a spare GIF directory, I souped it up and decided to use it. Jim M.

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Multifractal_9
by Albrecht.Niekamp＠t-online.de 10 Oct '03

10 Oct '03

Hi, the title of the first image is taken from James Taylors first album, which came out 1966. Greetings, Al. ----------------------------------start-frm----------------------------- FRM:Multifractal_9 { ; Albrecht Niekamp 170903 ;p1 (spider)julia-seed ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ; 0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider ; input2 : 2digits_many-mods 2digits_phoenix 2digits_spider ; 5digits_reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp ;imag(p2)(-) 5digits_colour(bailout) number ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 ;imag(p3) shape : factor (fn1), 5digits_colour4 5digits_colour5 ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor1 (fn2) 4digits+fract_border1 ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor2 (fn3) 4digits+fract_border2 ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor3 (fn4) 4digits+fract_border3 ;fn(1) shared by many-mods+bees ; 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 ex4=d>1 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 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)*10000000000 ba4=trunc(da/100000) ba5=da-ba4*100000 ; 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 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 (d4) z=0 if (vb) if (mo) c=0.4*log(sqr(pixel^mm)) else c=pixel z=pixel endif else c=pixel z=pixel*sc endif else c=p1 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(pixel^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(pixel^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(pixel^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(pixel^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(pixel^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 ;Qusinewton Pusk s Istv n z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+ph-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 Pusk s Istv n 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) z2=z*z ;Mandel Pusk s Istv n z=z2*z2+p6*z2+c-p0 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 } ----------------------------start-par------------------------------------- The_original {;flying_machine ; Time 3.54.24.45 ; Albrecht Niekamp Oct, 03 reset=2002 type=formula formulafile=mfr.frm formulaname=multifractal_9 function=sin/exp/exp/sin passes=t center-mag=+0.69407468245339080/+0.03415551174862821/115.2977/0.5977/-92\ .5000000000000284/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21225.32565788021/15234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000QY<10>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB\ 7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSS\ SUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz\ <13>0R_ } Madhouse { ; Time 3.25.34.35 ; Albrecht Niekamp Oct, 03 ; reset=2002 type=formula formulafile=mfr.frm formulaname=multifractal_9 function=sin/sin/exp/sin passes=t center-mag=+0.80170883016743030/-0.00197191029829151/36192.88/1/-159.999\ 999999981441/-1.69965014285011762e-011 params=-0.05825983458967864/0.3785210730307932/21222.32595705021/15423.0\ 506030602/51024.02048000094/384.0449690484/384.0242000145/256.1007683001\ /512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<21>bbbdddfffgggiiijjj<3>qqqsssqqq<24>BBB999777555444222000 } The_magic_mirror { ; Time 3.14.24.15 ; Albrecht Niekamp Oct, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mfr.frm formulaname=multifractal_9 function=sin/sin/exp/sin passes=t center-mag=+0.80171328060885840/-0.00196810603325942/1070795/1/-159.9999\ 99995678252/-3.12983081118822781e-009 params=-0.05825983458967864/0.3785210730307932/21222.32595705021/15423.0\ 506030602/51024.02048000094/384.0449690484/384.0242000145/256.1007683001\ /512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<21>bbbdddfffgggiiijjj<3>qqqsssqqq<24>BBB999777555444222000 } -----------------------------------------end--------------------------------

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Classic FOTD ??-??-???? (Star for the Ages [8])
by Jim Muth 10 Oct '03

10 Oct '03

CLASSIC FOTD -- ??????? ??, ???? (Rating 8) Fractal visionaries and enthusiasts: Today's fractal image is a lost blast from the past, which originally appeared as a FOTD several years ago. The problem is that I have lost track of the original discussion that goes with it, as well as the date on which it originally appeared. This is the same problem that still plagues my long-awaited but never- delivered FOTD-CD. Since the image really is quite striking, and I have lost track of the original name, I gave it the new name "Star for the Ages". The rating of an excellent 8 makes the 14-minute render time barely worth the effort. And as always, the finished GIF image is available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather has been uneventful here at Fractal Central the past few days. The fractal cats have reasonably well behaved. The work backlog is still shrinking, and all else is well. Until tomorrow's Classic FOTD, take care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Star_for_the_Ages { ; time=0:14:50.67 SF5 on a p200 reset=1960 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+1.66407211226380200/+0.392889263279063\ 20/2.145788e+007/1/-5/1.95473841280158211e-008 params=0.01/100/-100/1/-0.9897/0 float=y maxiter=12000 inside=0 logmap=267 periodicity=10 colors=00002G04A06A06C06E06G06J06L06N06P06R06T06V0\ 6X06Z06`06b04d04e04g04i04k04m04o04o04o04o04o04m04m\ 02m02m22k22k42k42k62i62i60i80i80gA0gA0gJCoTLubXzke\ zuqzzzzzxzxvzuuzsqzoozmmzikzgizdgzbezZbzX`zTZzRXzN\ VzLTzHRzGPzCLzAJz6Hz4Gz0Ex0Cx0Av06v04u02u00s04u08v\ 0Az4EzAHzGLzLPzRTzVVz`Zzebzzezzizzmzzozzszzzzzszzq\ zzokzoZumXkmTbkRRkNHiL8iH0gG0gE2eA4e86d68d2Ab0Cb0E\ b0G`0H`0JZ0LZ0NX0PX0NZ0J`0H`0Gb0Cd6AeC6gH4gN2iT0kX\ 0mb0mg0om0qs0sx0uz0uz0vz0xz0vz0uz8szHqzTozbmzmkzvi\ zzgxzevzduzduzbszdszeqzgqziozkozkmzkkzkkzkizkizkgz\ kgzkezkezkdzkdzkbzkbzk`zk`zkZzkXzkXzkXzkXzkXzkXzkX\ zkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkXzkVzk\ VzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVz\ kVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkVzkV\ zkVzkVzkVzkVzkVzkTzkTzkTzkTzkTzkTzkTzkTzkTzkTzkTzk\ TzkTzkTzkTzkTzkTzkTzkTzkT } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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Re: Classic FOTD 01-01-98 (Projective Plane)
by Jim Muth 10 Oct '03

10 Oct '03

At 11:23 AM 10/7/03 -0500, you wrote: Paul Lee wrote: >> Classic F.O.T.D., January 01, 1998 (Projective Plane) > >Actually, The above date and fractal name did not originally get used >together many years ago on the "Fractal-Art" List. > >Though I am sure this was an accidental mistake by Jim, I would hate to >see this List end up like a couple of others I know of, where the >participants try to alter history whenever they wish. ;-} Lee is right; history is safe. I made a mistake -- most likely the first of many. The 'Projective Plane' fractal appeared on Jan. 6, 1998. The fractal of 01-01-98 was named "Snub-Nosed Midget", an image that I considered but did not use. Jim M.

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Re: Minibrots anf the FPU
by Kenneth Lifvenborg 09 Oct '03

09 Oct '03

Thanks to those that answered my question! My faith in the Universe have been completely restored and I can sleep better at night ;-) Regards Kenneth Lifvenborg _________________________________________________________________ The new MSN 8: advanced junk mail protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Minibrots and the FPU
by Kenneth Lifvenborg 09 Oct '03

09 Oct '03

I just scanned the sci.fractals newsgroup for the past few weeks and found this post from Brian Quincy Hutchings <QncyMI(a)netscape.net>, dated 19 september 2003 23:27: <snip> but folks should know that the "universality of the M-set," that is the recurrence of "mini-bugs" or cardioids, at every level of "magnification," is just an artifact of the floating-point ops (IEEE-755, -855, I think). this was (really/partially) confirmed by monsieur M, when he glroriously begged my (only) technical question at a talk for a "general audience." <snip> Is this just some "besserwisser"-talk or might it imply that images containing minibrots/midgets (and there certainly are a *lot* of those on the Net and in the litterature) are just artifacts from some weird bug in the floating-point algorithms? The fact that the main cardoid itself stems from a very simple formula make it seem, if not probable so at least possible, that some oddities in the FPU could produce unexpected results. I find this a bit disturbing. Could anyone please care to comment? Regards Kenneth Lifvenborg _________________________________________________________________ The new MSN 8: advanced junk mail protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Classic FOTD 20-03-2000 (Midget Inferno [7]))
by Jim Muth 09 Oct '03

09 Oct '03

FOTD, March 20, 2000 (Midget Inferno [7]) Fractal enthusiasts and visionaries: It's been a rather exciting day here at Fractal Central, with a hostage standoff situation in progress only 2 miles (3km) away. But that has had no effect on the fractals, which once again appeared almost by magic, as though nothing had happened. To create today's image, I entered some of my more bizarre parameters into the M-Mix4 formula, finally finding the interes- ting fractal that results when 1/Z is added to 666*Z^666 before adding C. I chose the number 666 because that number is consi- dered apocalyptic in some circles, and I enjoy defying danger. Today's FOTD is another of those unlikely images, since one would suppose that 666 parts of Z^666 would simply obliterate one measly part of 1/Z, resulting in a boring open circle with 665 tiny identical bays. In the world of fractals however, things are seldom as one would suppose, and instead of the boring circle, the expression fills the screen with an interes- ting fractal. I named the picture "Midget Inferno" after deciding on the dark red and black color scheme for the scene, which gives the impression of lurid flashes of red breaking through billowing clouds of black smoke. The parameter file takes 4 minutes to render. The GIF image has been posted as always to: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal weather today was raw. Heavy clouds off the ocean, and a chilly wind of 42 degrees F (5.5 degrees C) made condi- tions too unpleasant for the cats to venture out of doors. They passed the day instead in frustrated comfort, stretched in front of their favorite radiator. As for the philosophy of the day -- it's still inside me, where there are lots of thoughts that I haven't had a chance to compose. But in a day of two I'll have the ideas hatched and ready to propose on the philofractal list. So keep tuned to that list. You wouldn't want to miss the enlightenment, nor would you want to miss your chance to correct a mistaken wannabe philosopher. Until tomorrow, take care, and save the best fractal until last. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Midget_Inferno { ; time=0:04:00.30 SF5 on a P200 reset=2000 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.18405946781424860/+0.120523122844577\ 40/8.7115e+008/1/-117.499 params=1/-1/666/666/0/0 float=y maxiter=2500 inside=0 logmap=77 periodicity=10 colors=000701A03E03H05K05N05Q15U17V17Y38Z38`58a58d\ 7Ae7Ag7Ai8Aj8BlABmABoABpADrBDsDEuDEwEExGEyJHzMGzPG\ zRGySEyVEyWExYExZEx_Dw`DwaBwcBudBueBugAwhAwiAxj8xk\ 8yl8zl0zl1zl5zm8zoDzpGzpKyqNxrQwsSurWtrWsrWrrWqsVp\ sVosVmsVlsVksUjsUisUhsUgsUisUjsUkuZktWktUksRkrPkqM\ kpJkpGkoDkmAio7jo7km7lm7mm7om7pl7ql7rl7sk7tk7uk7wk\ 7xj7yj7zj7zi7zi7zi7zi7zh7zh7zh7zh7zg7zg7zg7zg7ze7z\ e7ze7ze7ze7zgAzhDziGzkJzlMzmPzoRzpUzqWzrZzs`ztczue\ zxizwhzugzueztdztczsazr`zr_zqZzpYzpWzoVzoVzmUzlSzl\ RzkQzjPzjNziMyiKyhJxgHxgGweEudDtdBtcAsc8sa7r`5t_3u\ Y0tZ1s_3q`7pa8ocAmdBkeEjgGihHhiJejMdkNclPamQ_oSZpU\ YqVWrWVsYUtZSu`QwaPxcGzeHzeJzeMzeNyePyeQxeRxeSweVw\ eWudYudZtd_td`sdcsddrderdgqdipdjpdkpdlodmodomdsldu\ odspdrodpmdol`lkQqhEoiGljJilKgmNdoPapRZrSWsVUtWRuY\ Nx_Ky`HzcEzdBze5zh8zgBzgEzeHzeKzdNzdQzcSzcVzaYzagz\ NdzMazJ_zHYzEVzDSzAQz8Nz5 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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Fractal Creations CD
by Tim Wegner 09 Oct '03

09 Oct '03

I got an email from someone who bought Fractal Creations 2nd Edition (FC2E) that had no CD. I offerred to make him a copy if he sent me a stamped, self-addressed envelop with a blank CD. I extend the same offer to anyone else. Email me and I will send you my address. Hmm, actually, Fractint has my correct mailing address, so you don't need to email me. I would not object to posting an ISO image of the FC2E CD somewhere. I have the rights to it. If someone has the bandwidth to do that, let me know. I have a rather uninspired web site running on a machine in my home office, and the download speed would be my 128kb upload, so that would not be a good option. Tim

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re Classic FOTD September 28, 1997 (Pollock)
by cjsonnack＠mmm.com 08 Oct '03

08 Oct '03

Jim Muth wrote: > Today's prize-winner fractal is named in honor of that not quite > so famous American abstract artist, J. Pollock. SciAm did an article recently about him and his work. Researchers analysed his paintings and discovered they were highly fractal in nature (containing self-similar detail at multiple levels). They derived a "fractal number" based on the painting details and found that number approaching "more perfect" fractality as Pollock's work evolved. -- |_ CJSonnack <Chris(a)Sonnack.com> _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________|

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Classic FOTD 01-01-98 (Snub-Nosed Midget)
by Jim Muth 08 Oct '03

08 Oct '03

FOTD October 08, 2003 Fractal visionaries: This short introduction is being written the morning of October 8, 2003. After the mini-flap over the 'snub-nosed midget' fractal that actually appeared on January 01, 1998, I decided it best that I actually present the little fellow so that he might be honestly judged on his own worth. It's good that Paul (it was not Lee, as I mistaken wrote yesterday) noticed the error. If he had not, the snub-nosed fellow might never have had his second moment of glory. :-) As for the present-day situation here at Fractal Central, the work backup is slowly clearing, (down to 4 days), the cats are still well, and if all goes well, the ongoing FOTD will resume toward the end of this month. START ORIGINAL DISCUSSION============================== F.O.T.D., January 01, 1998 (Snub-nosed Midget) After yesterday's cosmic fractal, today's must be considered a minor interlude. It is a picture of a lopsided little midget that looks just as exhausted as I feel after last evening. And no wonder I'm exhausted -- I just got through the last day of another entire year. We begin the third-from-last year of the 20th century with a picture of a midget with a nose problem. I named the picture "Snub Nosed Midget" but this little midget is more than snub- nosed, it's actually coming apart at the seams, filled as it is with more holes than a swiss cheese. The formula mixes various portions of the Z^2, Z^-5 and Z^-3 Mandeloids, and slices the figure in the vicinity of a critical point. The finished image has been posted to Paul's web site at: http://home.att.net/~Paul.N.Lee/FotD/FotD.html Tomorrow, I'll have more energy for a longer commentary and hopefully a better fractal. Until then, take care and keep the faith in your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER-FORMULA FILE============================= Snub_Nosed_Midget { ; 2 min on P200 640x480 reset=1960 type=formula formulafile=test.frm formulaname=3wayMandelbrot passes=t center-mag=-0.471598/1.82755/3.053522/1/-29.999 params=-1/-5/0.1/-3/-1.3321721988/0 float=y maxiter=1800 bailout=25 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=00024F<4>79G8AG9BIABKDBL<2>ICQJCSKCULCVMC\ X<10>ZEn<8>USCUT8VV9<19>fqAfrAgqD<18>jct<3>sea\ <10>kvVkxUjyUizTizTn`I<13>mosmpvmqxmrzmszmtzgkq\ <2>SLC<21>RffRfgSch<9>TCl<13>WJp<5>McxKfzJjz<3>D\ wzBsq<2>8gC<17>Rpo<16>xRozPozOozMozLoxRm<4>Vsdpz\ u`zfMzT<7>QyNQyMQyLRxLRxKSxJ<4>TwGZsPdpX } frm:3wayMandelbrot {; Jim Muth z=p3, g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2): z=(a*z^b)+(c*z^d)+(.3*(sqr(z)))+g, |z| <= 100 } END PARAMETER-FORMULA FILE==================================

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