October 2013 - Fractint - mailman.xmission.com

FOTD 25-10-13 (Star of Anchara [A-8,M-6])
by Jim Muth 25 Oct '13

25 Oct '13

FOTD -- October 25, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: In today's image I combined 2 parts of Z^(-2.5) with one part of Z^(-4.5) and added (1/C). The parent fractal that results is a large shapeless open area filled with blobs of debris. Two large irregular rings lie to the west of this open area, which are connected by one of the strangest minibrots, (If a minibrot is what it is.), that I have yet found. Today's scene lies just to the southeast of this 'minibrot', on a filament extending from it. The trip in from the surface or out to it is quite interesting. The name "Star of Anchara" indicates that today's image lies deep inside its parent fractal, just as, according to some fringe groups, the mystic land of Anchara lies deep in the interior of the planet earth. The artistic rating of an 8 shows that extra effort went into the coloring. But the math rating of a 6 shows that, except for the strange minibrot on the parent's surface, little new math interest lies in the image. The calculation time of 1-3/4 seconds will pass in a couple flashes. A visit to the web sites will cut the flashes down to one. To enjoy today's mathematical wonder with a minimum of effort, check the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and also the sites at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> and <http://user.xmission.com/~legalize/fractals/fotd/about.html> where interesting variations are posted. More clouds than sun, with a temperature of 50F 10C, kept the Halloween feeling quite strong here at Fractal Central today. The fractal cats spent the day testing each other's limits. The new little 1-kg girl, Jasmine, is learning that she must give the older 6-1/2-kg guy, Nicholas, a bit of peace now and then, and the older guy is learning that the newcomer cannot be batted around at will. The fractal humans made sure the fractal cats understood the rules. The next FOTD will probably not be posted until Oct. 27. Until then, take care, and what about bigfoots and other assorted monsters? With all the well-founded reports of sightings, it is impossible, except in the opinions of hard-core skeptics, to shrug off all these reports as delusions of the gullible. At the same time, if such monsters did exist, we would certainly have found some hard evidence such as bodies by this time. And BTW, let's get Sebastien back on the list. He comes up with some pretty good images, and I'm not sure why he quit the list in the first place. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Star_of_Anchara { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-5.167745029628875/-0.1068011145484513/\ 4.572751e+010/1/55/0 params=2/-2.5/1/-4.5/0/0/0/0 float=y maxiter=1250 inside=0 logmap=127 periodicity=6 mathtolerance=0.05/1 colors=0000Iz0Gz0Ew0Ct0Aq08n05k00h00c00Z00U00P00K0\ 0H00E00B005yxzzuCxIblJF`JU`JDZC503KC1H070D5K_4IO0F\ i0O`3IzZCxLDOKDzqzmzzYLCk`B_PCOQDK8n2HJ8IGTFNmwG7k\ jwZQgTLeaHqJAf`BXTCNLDKG5HC8zlzkPzeJzbJuYJoh_yyWRZ\ 9ln7MROK4cJzVMmNPcFS`7VTH`LQeD_k6hpINuan1_rDZuPYx`\ kaUyGOuHJrHFbEVOCiFaU_BVEXPESLDNHGzjFkZEXO`UqVRfPO\ XJLN0Kn7JWWWGRSFMPEHMDgxj_maScUKTL6xKAcG00rtqrZ_YA\ v3Bh7CWAxpghdXTUN9A04TK7QI9OGBLExG`hHTTIL3JrvmIEbB\ DYCDTCDODIksxXu`QZok4WX9P0tM5iJAZGFOZ`RJPWhgMTVHuY\ Ci589ZFJvEGbDhGRTIKli`cbVVWPMPJQA4JF9RGAKIChCyTG`1\ vWAqdBhYC_RDRKSvUFEaUv72Wi8PTdRcYPXRNQKLJM2rHBYIhU\ GaPFWLmPHmEUmGPmHLmIHmQcmMQmqQm_JmnumAtmDimFZmHOm_\ RzTUzGJzHHzIFzPGzSHzPFzMEzx8zmAzzBzzCzz`zzTzzLzzKz\ zHzzFzz3zz7zzAzzjzzZzzOzz1zz5Qz9fzqSzX7zi9zZBzO4zJ\ 7zH9zGBzEqzaczTQzLizwTz_SzhOz`KzTGzLWzpyzSgzP_zMSz\ JKzGqzA_zjUzaOzUIzLWz8RzA } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 24-10-13 (Carnival of Fractals [A-8,M-6])
by Jim Muth 24 Oct '13

24 Oct '13

FOTD -- October 24, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's fractal subtracts 0.2 part of Z^3 from Z^2 on each iteration before adding C. The resulting Julibrot has two critical values, one at zero, the other at +3.333... The two values create the same parent fractal -- close to normal Mandelbrot sets that are oriented at 180 degrees from each other. Today's image lies in the parent fractal that results when Z is initialized at +3.333... This parent is the Mandelbrot set rotated 180 degrees. It has an interesting stem extending west from East Valley and another stem extending east from the main bud. Today's scene lies near a larger minibrot on the eastern stem, which is along the positive X-axis and has characteristics of the negative stem of the M-set. The name "Carnival of Fractals" came to me as I was wondering whether to tone down the colors. I finally decided to leave the colors quite brilliant, which seems to work quite well. The art rating of an 8 shows that the image is well worth the 1-3/4 minutes required to calculate it on one of today's fireball units that has not lost the ability to run DOS programs. Those addicted to things like smart phones and apps are out of luck . . . I guess . . . But don't worry, for the web sites are always ready to charge to the rescue and bring enlightenment. The math rating of a 6 shows that nothing new is in the mathematical aspect of the image. So achieve enlightenment, whatever that might be, by viewing different versions of the finished image on the web sites 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 mix of clouds and sun, with more clouds than sun, prevailed here at Fractal Central today, while the temperature of 46F +8C kept the proper pre-Halloween chill in the air. The fractal cats who are now just starting to accept each other, had little time to notice the weather. The newcomer, who we have named Jasmine, (Jazzy for short), is now large enough to leap onto many of the old fractal cat's (Nico's) favorite spots. Nico is not too happy with Jazzy taking over his napping chairs, but he does not seem too angry either. The humans are mostly letting the dynamic duo work things out for themselves, ready of course to intervene if things threaten to get out of control. The next FOTD will most likely be posted in about 24 hours. Until whenever, take care, and the United States, usually referred to as America, is not only the greatest country on earth, but it is always right. And any country that fails to agree had better watch its step. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CarnivalOfFractals { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.655267462218993/+0.00001248433946918\ /2.642538e+010/1/117.5/0 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=1500 inside=0 logmap=-122 periodicity=6 mathtolerance=0.05/1 colors=000K0OJ0MI0KH0IG0GF0EE0BD08B05902600300000m\ rzT7fUFmUOeKGSA8EzKKe6PV4IL3CA16JVkmcmdzYgzzd0KK0K\ 00K85AyXSt2RS1DpWyQGVzgpzzzzzQzCzhzzQ3Lc4GK2821iIe\ zDQz9Kd45nUE3jsN_aVIJFP50I30C20610iHoN8QakuPWaCGJ0\ SA0E5QjdJZUDNK6BAyxKTFEE77dUNUMHKFBA75ypHdZBKH5YCL\ M8EB47t1CtHvAUZ5FH2tW1eO1SG0E85q`3cR2RI1D9hs8sFk`A\ WI5GmyePVLIKXsiA`U6IF3J0AC06603C5E8pl6b_4QO2DCUUXF\ FGAtO6aG3J85aZ3SQ2JH1984SA2E5BtK7aD3J6A7mzzXzzGzzL\ zzEzz7zzvzzgzzTzzEzzdzzpzzQzzzzzVzz6zz4zz3zz2zz1zz\ VzzKzzAzzzzzjzzVzzFzzvzzTzzpzzZzzHzz`zzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzczzczzczzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Circles Images and Music
by Albrechtx 24 Oct '13

24 Oct '13

HI, maybe you have forgotten that zooming is fun, possibly due to lack of possibilities. Here´s your occasion to learn it again. : The Circles image is the best zooming playground I´ve ever seen. You cannot avoid finding new spots where ever you look. Also try zooming out. Including the (almost) total view and four zooms plus the special one I did for the music, which has enhanced colours. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/kw95x8d8ba9hvhq/Circles.mp3 https://www.dropbox.com/sh/nzy2kvaqy7qb85t/6vxVxVChip : Albrecht : START PARAMETER FILE======================================================= CirclesT { ; Total View ; time 0.10.00.98 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.0575112/2.64511e-013/2.735546/1/90/-1.23373533611470521e-0\ 14 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles1 { ; Zoom1 ; time 0.02.00.98 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.05990894428393674/-0.01400875928248982/10942.18/1/90/-1.23\ 373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2\ oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE\ 4KA0000<42>000 } Circles2 { ; Zoom2 ; time 0.03.35.42 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.37511326326760360/+0.00000000000026451/6361.735/1/90/-1.23\ 373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000UOF<3>H85E43A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>0\ 00<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<\ 11>2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA000\ 0<43>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<8>X\ SI } Circles3 { ; Zoom3 ; time 0.08.02.69 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.33373420022103740/-0.06039467277261110/1094.218/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles4 { ; Zoom5 ; time 0.03.02.60 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.28747488781015190/+0.00000019054378036/10942.18/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; 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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FOTD 23-10-13 (Strange Goings-On [A-8,M-6])
by Jim Muth 23 Oct '13

23 Oct '13

FOTD -- October 23, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image mixes together various portions of Z^2, Z^3, Z^4, and Z^5. This combination produces a Julibrot with a major critical value of zero and a minor critical value of -2.499... The major critical value produces the parent fractal of today's image -- a Mandeloid with two large wings sprouting from its East Valley. The minor critical value produces a small remote Mandelbrot set lying well west of the default screen, with little of interest in it. Today's image consists of both inside and outside stuff. The greenish outside stuff was rendered with the outside option set to 'tdis'. The inside stuff is colored a lumpy purple, and was rendered with the inside set to 'fmod'. I named the image "Strange Goings-On". My reason was that all fractals certainly are strange. Due to my extra coloring efforts, the art value rates a 9. The math rating remains a 6. The calculation time of 4 minutes is rather slow. Checking the finished images on the web sites is recommended. Different versions of the finished image are 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> Lots of clouds with a chilly temperature of 48F +9C made today feel more like November than October here at Fractal Central. The fractal cats, who are still getting to know each other, gave no attention to the outside conditions. The fractal humans did what needed to be done, while keeping an eye on the cats. The next FOTD will be posted soon. Check back in 24 hours to see if 'soon' means 'the next day'. Until next time, take care, and 125 years ago we thought we had discovered all there was to be discovered in the field of physics. What happened since then? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Goings-On { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.432885627623874/-0.04345618858187475\ /1.324159e+010/1/115/-0 params=1/2/-0.67/3/0.5/4/\ 0.25/5/0/0 float=y maxiter=1500 inside=fmod proximity=0.3 outside=tdis logmap=yes symmetry=none periodicity=6 mathtolerance=0.05/1 colors=000TIySKuSMqROmRQjQNiPKhPIgOFfODeNAdN8cMCbL\ FaKJ`JM`IQ_HTZGXYF_YGUSHPNHKIHECG97E62MB4TH6_R8f`A\ miCsqEyzUghPQSZ9C0AE0BA0CA0DzzEzzFzzFzzDzzBzzAzzzI\ zzIzzIzzHzzGzzGzzISzJqzKrzLszLszMtzNuzOvzOvzQrzRoz\ TlzUizVezXbzY_zZXz_Sz`NzaIzbDzb9zbIzbQzaSz`Tz`VzcW\ zcXzcWzcVzcVzcUzcUzcVzcWzcXzcdzckzcazcTzcUzcVzTVzV\ WzXXzZXz`_zbbzcdzegzgjzhlzjozkqzhkzffzc`zaWz_RzXLz\ VGzTBzMMzGXz9gz3rz7mzAhzDczGZzJUzMPzJSzHUhEXgCZeAa\ d7cb5fa3h`7e`Bc`Ea`I__MX_PV_TT_WRXXSChuAgyGbtLYpQT\ kWOg`Jb4Et4Cv4BwJKyMe_OzAPrJQkSRc_SXhTPq000EVb9Xe4\ Yg5ab6eZ7hU8lQ9oLAsHAvDBoHBhLBbOBWSBPWBJZBCbB6eAAc\ 9Eb9HaPFfZDjhCnrIrzJzrGom9hc6aU5VI4OA3H9HD9UA9g69t\ 3Dp6Gl8JhBMeDPaFSYIVUKYRMLOT8LZ8OY9QY9TXAWWAYWB`VB\ cUMfuKeqIemHei`GG_IBZK6mTBpT9sT7dVPtbWUbe3boC`nLZn\ UXnbVmkTmsSmmPlgNkaKkWIjQFjKDiFBiMGjSKkZOldSm_YhVb\ cRg_QbYQZWPVVPQTOMRPSXJU_ } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 22-10-13 (Totally Torus [A-7,M-6])
by Jim Muth 22 Oct '13

22 Oct '13

FOTD -- October 22, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: In today's image we return to the workhorse MandAutoCritInZ formula, which automatically initializes Z to a critical value of the iterated expression, thereby eliminating the need of tracking down critical values by hand, as is necessary with the MandelbrotMix3a formula. Today's parent fractal came about when I mixed 3.3 negative parts of Z^(-1.3) with one negative part of Z^(-5.3) before adding (1/C) on each iteration. This parent is a typical oversized double-negative fractal with three large, vertically stacked bays and a prominent, nearly circular, fractal fan extending east. A very prominent minibrot lies just beyond this fan, connecting it to a large ring farther to the east. Today's scene lies rather deep in the East Valley of this minibrot. I named the image "Totally Torus" when I viewed it from a distance and the brilliant pinkish ring around the central minibrot impressed me as a torus. Mostly because of the brilliance of this ring I rated the art aspect a 7. The math aspect remains a 6. The image is a relatively slow one, requiring almost six minutes to complete on one of today's super fireball machines. The time will be notably longer on an older unit. Viewing the image on one of the FOTD web sites will eliminate the delay. Avoid frustration as well as the nuisance of calculation by checking the finished image and variations on the FOTD web sites 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> Morning clouds gave way to sun later in the afternoon here at Fractal Central today. The temperature reached a high of 59F 15C early in the afternoon, but began falling as the day progressed. The old fractal cat spent the day being annoyed by the playful antics of the new fractal cat, who amused herself playing with the old cat's tail, while the fractal humans kept an eye on the action. The next FOTD will appear when it is ready. To find out when it will be ready, check back frequently. Until this moment of fractal revelation arrives, take care, and don't arouse the wrath of God, who apparently shares the emotional weaknesses He condemns in His creations, such as anger. And I have always wondered -- if God made the universe, where did God come from? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Totally_Torus { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.677912749065/-0.59652070897284/90070\ 36/1/41/0 params=-3.3/-1.3/-1/-5.3/0/0/0/0 float=y maxiter=2800 inside=0 logmap=-463 periodicity=6 colors=000KKcc3UROKD1AATZ6ac3PK5F85JIZZZXXZMMNLBBZ\ iFWKWg4tX3eM2SB1E3mm1AP6sr3LR3OV2IN1CF067Fo9Bb67Q4\ 3D2f6YW4PL3HA18pQ2bJ1QD1D60q9LzzzF7jB5Z73OEFQLQRSa\ SYlThUisBzhAyZ9xP8wF8wqpzpu_pyA_g8KQ74962PP1GG088L\ rWzozzjqxVjuBkjAZV0CX2j9Ca46JdTVULNKEFA77Diy6NVsXx\ bh5JM2xSAhL7UE5F72vHHbBBJ55SgWzzz1zzhqqcnRZcFWKBDA\ 7653IFF957qFRcAKR5DD06sD6S43on9b`6QN4D926JK4BD236_\ PK2PejaiNGNzN4jG3V92F21c`SKGE`qPOYGCE89R16U03U0RUr\ KUdDUR6ZDIcEDZA9Z74Z3VZ8FZ4JZKCZD6Z65Zz2ZVUZCMZ9FZ\ 67Z3PZ`GZO8ZCYZuPZfHZT8ZEjZWVZLFZAfZwPhAGh68h3Ch56\ h94h63h41h2nhvPhT4ht2ha1hJVhwjhEVh9Kcz9cz7cz6czHcz\ SczzczzczoczSczVczIczeczqczTczmczhmzzmz3mzzmzVmzem\ znmzamzPmzCmzwmzUmzFmzymzimzVmzFzzvzzgzzTzzEzzLzzF\ zzAzz5zzmzzXzzGzzTzzJzz9zzKzzFzzAzz5zzfzzWzzLzzAzz\ SzzIzz9zzszzSzzvzzozzYzzHzzUzzFzzwzzUzzVzzFzzxzzUz\ zPzz1zz0zz0zzXzzMzzBzzSzz } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Fractal Music - Evening_Song
by Albrechtx 22 Oct '13

22 Oct '13

HI, this is a new song with a doubleneck guitar in the center. The image is a zoom into the total view of yesterdays image. It is a circular image done with multifrac_239, you should have it in your frm folder. The scale is the pentatonic Pelog again. : As the name indicates this is relaxed music although the fractal rhythm is present all the time. The IFS is Swirl5 again. : Albrecht : https://www.dropbox.com/s/3vubr2p7hwh58kn/Evening_Song.mp3 https://www.dropbox.com/s/lzqdn6xhxoofjlm/MUS3Z4.bmp https://www.dropbox.com/s/e8kz1b0nlwvbhaj/Swirl5.gif

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FOTD 21-10-13 (The Cleansing Fire [A-7.5,M-6])
by Jim Muth 21 Oct '13

21 Oct '13

FOTD -- October 21, 2013 (Rating A-7.5,M-6) Fractal visionaries and enthusiasts: Today's parent fractal was created by combining various parts of Z^(-1.5), Z, Z^(-0.5) and Z^(2). This combination has a critical value of 0.563... and also a second critical value that I have not yet tracked down. The parent is a slightly distorted Mandelbrot set surrounded mostly on the west by a large field of debris filled with holes and minibrots of various sizes and shapes. Today's scene ignores this outlying debris however and centers on the East Valley of the parent, where the debris converges and vanishes into the depths. The art rating of 7.5 is largely due to my semi-skilled coloring efforts. I actually did put almost an hour into the colors. The math rating remains an average 6. By this time, the trick of finding critical values graphically is old news, though I have just begun to explore the basically endless world of four-exponent fractals. The name "The Cleansing Fire" has no connection to the catholic idea of purgatory. In fact, it has no connection to the image. It simply came into my head when I emptied it of everything else. But it does get attention, so it will remain. The calculation time of 2-3/4 minutes is rather slow. The more impatient fractalists, who were not around when fractals sometimes took days to finish on snail-speed computers, can avoid the wait by checking the web sites. The completed image is or soon will be posted on these FOTD web sites 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> After the early morning fog cleared off, the day turned out sunny here at Fractal Central, while the temperature of 64F 18C was quite pleasant for October. The older fractal cat enjoyed the sun on his shelf; the new fractal kitten was too busy exploring her new surroundings and playing. The humans watched to see how the new fractal duo was getting along together. The next FOTD will be posted in a day or two. Until the time comes, take care, and they say God works in mysterious ways. I say He should stop hiding His reasons, and get it all out into the open. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Cleansing_Fire { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.405066119028073/-0.02505940464620183\ /1.175568e+012/1/14.5/0 params=0.1/-1.5/0.2/1/0.4/\ -0.5/0.8/2/0.563590420488/0 float=y periodicity=6 inside=0 logmap=124 maxiter=1200 mathtolerance=/1 colors=000ffeaa`YYXUUTOONJJIFFDBBBOj9Mh7Kf5Id5Gb5E\ `5AZ46X44V33T33N22I22E1191140000zpHwmGtjFqgEncDi`C\ eZCcWB_UAWS9TP8QN8OL7LI6IG5GE4DB4A93872541000LrzJn\ zKjiPecUa_ZXWcSShNOcJKrFGvKCzP8zU4zZKzcIUYHSWGQTFO\ REMPCKMBIKAGI9EG8CD7AB58946634422214en3Xc2PU1GK08A\ EiEDgDCeCCcCBaBA_AAYA9W99U98S87Q77O7HLQFJNEHKCFIAD\ F8BD79A577355132020o3Tj2Qf2Ob2LY2JU1GP0FL0CH09D078\ 044023WL2UJ2SI2QH2OF2ME1KD1IB1GA1E91C70A6Z85Z63Z42\ Z21cK2cH1cF1cD1cB1c80c60c40c20cTTcRRcQQmOOmNNmMMmK\ KmJJmHHmGGmFFmDDmCCmBBm99m88m66m55m44m22m11mfFmWBm\ L7mA3z82z71z71z61z61z51z51z41z41z30z30z20z20z10z10\ z00zTjzQfzObzM_zKWzHSzFPzDLzBIz8EzUAzU7zc3zcBzc9zm\ 7zm6zm4zm3zm1mm1hm0cm0ZmzUmzPrzKz0Fz0Az03z0RzzPzzO\ zzNzzMzzKzzJzzIzzHzzFzzEzzDzzCzLBzJ9zH8zE7zz6zz4zz\ 3zz2zz1zzWzzUzzTzzRzzQzzOzzNz6Lz6Kz5Iz5Hz4Gz4Ez4Dz\ 3Bz3Az28z27z25z14z12z01z0 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 20-10-13 (A New World Coming [A-6,M-6])
by Jim Muth 21 Oct '13

21 Oct '13

FOTD -- October 20, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image is found in the parent fractal that results from combining various parts of Z, Z^2, Z^3 and Z^4, a combination that has a critical value of Z^-1.211... This parent is shaped like a near circular Mandelbrot main bay with a main negative spike and two prominent 'wing-bays' sprouting from its East Valley area. Today's scene is found in a valley in a bay on the belly of a strange duck-shaped minibrot that lies on a filament extending from the large bud on the northwest edge of the main bay of the parent Mandeloid. The rating of both the art and math is an everyday 6. The fractals in which four different exponents of Z are combined on each iteration tend to be too chaotic for the best fractal art. I will continue exploring them however, since I know what surprises can lie in fractals, where even the impossible sometimes happens. The current math trick, which finds a critical value graphically, is getting to be 'old hat' and no longer earns any extra rating. The name "A New World Coming" might be an idle thought, a promise, or even a warning. Whatever it means, it has little to do with the appearance of today's image. The calculation time of 4-1/4 minutes has everything to do with the image. it is the approximate time that will elapse between hitting the 'enter' key and seeing the finished image on the screen. It's best to eliminate the wait by checking the web sites. The finished image is already posted or soon will be posted on the FOTD web sites 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 but chilly weather prevailed here at Fractal Central today. The temperature of 57F 14C felt just about right for late October. At least the fractal cat had no complaints, but then he is still getting used to the new kitten arrival. Meanwhile, the humans had other things in mind to keep them occupied. The next FOTD will in all likelihood be posted in 24 hours or so. Until that glorious time arrives, take care, and it seems that no two people can agree on politics. Why then can't we have a political party for every individual person in the country? If we did, everyone would be in full agreement with their party's platform, and there would be no squabbling at all. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_New_World_Coming { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-1.267450545352012/+0.9785270648333529/\ 5401955/1/72.5/0 params=0.1/4/0.2/3/0.4/2/0.8/1/\ -1.211659178054/0 float=y maxiter=2750 inside=0 logmap=276 periodicity=6 colors=00041951A61B72D82E93FA3HB4IC4JD5KE5NF6PG7RH\ 8TI9VJAXKBZLC`MDbNEdOFePGfQHfRIgSJhTLhUOiVRjWTjaLn\ gDrlKvpUgtcTwiErnEnpEmuEmzEmzEmzEmzEmxEmwEmwEmvEmu\ EiwEesDapDYmCUiCQfCMcBIcBEcAAcA6hA6m96q96u97lM8gZ8\ jkFfkMbkTZkW_hY`e_`baa`caYfbVhbSjcQlcNndKqdHseFueC\ wf9yf7se8nm8im9dm9_mAVmASmRPmgImcBm`HmUMmOSmIXmCam\ 6dmEXmeZpgasicvkeymgvlhtkiqjjoikliljhmggnefobep`eq\ caqeYqgUqjQqlMqnIqqEqsAqu7nvElvLivSgvZdwebwl_wsYwy\ WusVtnUriSqcRoZQnUPlPNkJMiELe9Kb4O_8RXBVUEYZH`cKfh\ NkmUprcuvmzzzzuozodzhVzdOz`LzXJzTHzPFzLDzHAzDCz9Fz\ 5Kz2Py4Ux6Zw8cv9hmLmhLrcLvZLzZEnU7hc0c_2fX3iU4kR6n\ O7qL8sWMWRczLHGX2R_2Pb2Ne2Lg2Kj2Im2Go2FmIOlYWklcif\ fgaieWkcRnaLq_GsYNqTTkOYfKbaFhXAmS6rN9mHCmCFr6Hv1L\ z8PzFTzMXzSZzf`zuZzvYzwWzxVzxzz`zzDzzYzzazzezzizze\ zzbzz_zzXzzUzzRzzOzzTzzXzz`fzebzi_zmaz_czMdz8bzjdz\ lfzmhznizodz2`z9XzGTzNPzU } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractal Music
by Albrecht Niekamp 21 Oct '13

21 Oct '13

HI, although not being a registered member anymore I would like to present one of my latest musical creations: Pelog_Rock. The name is taken from the pentatonic Gamelan scale used. The music was created by an automatic algorithm scanning the "Springtime" image which came about in the preliminary stages of my multifractal project. For scanning the phantastic Swirl5.IFS shown in Fractint was used. : Albrecht : https://www.dropbox.com/s/2phqpwq5jgw56d0/Pelog_Rock.mp3 https://www.dropbox.com/s/mbzs7aq8jupaw1d/springtime.bmp https://www.dropbox.com/s/e8kz1b0nlwvbhaj/Swirl5.gif

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My versions of Jim Muth's FOTDs & their parent fractals for Oct 13 - 16 are up.
by Hal Lane 19 Oct '13

19 Oct '13

My versions of Jim Muth's FOTDs and my investigations into their parent fractals for October 13 - 16, 2013 are on my site now. Please use this link to keep my counters up to date -- thanks: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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