May 2010 - Fractint - mailman.xmission.com

Fractal Mashup
by Roger Alexander 23 May '10

23 May '10

Busy yesterday didn't get time to post the Fractal Follies fractal. Well here it is, a fusion of iteration loops, with bailouts and inverse bailouts. You've got newtons in my mandelbrots-you've got mandelbrots in my newtons! While not tachyon based and faster than light instant viewing is available at http://maxitersfractalfollies.blogspot.com fract224.gif { ; newtons and mandelbrots my oh my! ; firey colors ; calctime 0:01:17.67 ; created May 22, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=bejones.frm formulaname=BJ-SG-MaNewt-001 function=recip center-mag=-0.480601/0/0.6666667 params=24/0 float=y maxiter=2400 inside=0 periodicity=0 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:BJ-SG-MaNewt-001 { ;Modified Sylvie Gallet [101324,3444], 1995 z = fn1(1/pixel) , c = z , iter = 1 rad = 3.1 , center = (1.0,0.1) pix = (10*pixel+(5.0,-3.4))*(-0.1,-0.95) zn = center+rad/(pix-center) limit = real(p1) , b1 = 16 , b2 = 0.0001 : test1 = (iter<limit) , test2=(iter!=limit) z = (z-zn)*test2 + zn z2 = z*z , z4 = z2*z2 , z1 = (z4*z-1)/(4*z4) z = (z2+c)*test1 + (z-z1)*(1-test1) iter = iter+1 ((|z| <= b1) * test1) || ((|z1| >= b2) * (1-test1)) } Roger Alexander _________________________________________________________________ Win a $10,000 shopping spree from Hotmail! Enter now. http://go.microsoft.com/?linkid=9729711

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FOTD 22-05-10 (Lost in Hyperspace [6])
by Jim Muth 22 May '10

22 May '10

FOTD -- May 22, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in an abstract four-dimensional object known as the Z^2+C Julibrot. It is not a scene in the Mandel- brot set, nor in one of the perturbed M-sets. Neither is it a part of any Julia set. True, it resembles a Julia set of the East Valleys of minibrots, but only one single line of it is part of any Julia set. Actually, today's image is a hybrid. In one direction it has Mandelbrot characteristics; in the perpendicular direction it has Julia characteristics. It lies in the orientation I have named the Rectangular, which is defined by the imag(z) and imag(c) axes. The image, which has been generously stretched and skewed, lies in the East Valley complex of the large minibrot on the main spike of the M-set, a short distance in the plus-imag(z) direc- tion from the M-set itself. The rating of a 6 is about what the image is worth, (IMO). The name "Lost in Hyperspace" might be the title of a sci-fi series, but it actually describes the location of today's scene. The calculation time of 1-5/6 minutes is brief by any standards. Equally brief is the time required to surf out to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image may be viewed in relaxed comfort. A hazy sun and temperature of 86F 30C made everyone happy here at Fractal Central on Friday. The fractal cats were especially happy, though they still kept a watchful eye out for any stray cats that might have wandered into the yard. The activity around a hawk's nest in a nearby tree also attracted their attention. My day, and FL's day as well, were satisfactory. There is a 90-percent chance the next FOTD will be posted in 24 hours, which means there is a 10-percent chance it will be late. Until whenever, take care, and if you want to know the meaning of existence, check your fractals. The answer might lie hidden there. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lost_in_Hyperspace { ; time=0:01:50.17-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.000000105\ 71810928/-0.09620033683075102/1.169683e+009/0.2073\ /94.7415060222973153/84.1664349416200679 params=90\ /90/0/90/-1.749996/0/0/0/2/0 float=y maxiter=3300 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000DNUFMPGKLIIHKHDQF9XD5bC1iG2pK2qO2nS2kM3g\ 73d63a53b44d34f24g24h29h2Di2Hi2Mj2Qj2Uk2Yk2bl2fl2j\ n0ll2nk4mj5li7jh9igAhfCfeEedFdcHcbJaaK``M__OYZPXYR\ WXTUWUTVWSOzXUXRVYQWZPX_OY`NZaMZaL_bK`cJadIbeHcfGc\ fFdgEehDfiCgjBhkAhk9il8jm7kn6lo5mp4mp45KAFRIOYPYdW\ islfkbdcTbXJ`P9ZI0`J2aK4bL5cM7dN9eOAfPCgQDhRFiSHkT\ IlUKmVMnWNoXPpYQqZSr_Us`VtaXxdZubYsaXp`WnZVlYUiXTg\ WSeURbTQ`SPZROXTMWVLVXKTZJS`IRbHQdGOfFNhEMjDKlCJnB\ IpAHr9Ft8Kv7Px6Uy5Zw8cuBhtEmrGrpJvoMzmOzlRzjUzhWzg\ Zzeazcczbfz`iv_krblmdnhgoccNUcVUcaUciShQTmUTrYTvaU\ zeUziUzmHzpJzpKzpLzpNzpOzpP`pRcpSepTgpNWHOXKOYNPZP\ P_SQ`UQaXRbZRcaShdSmfTriTvkUznk4hi9igEjeIkcNlaSm_W\ nY`oWepZFaXNeWViVbm9ZoKdp`1CNFJQQVS_e9XkBYlCZlD_lF\ `mGamHamJbnKcnLdnNeoOeoPfoRgpShpTip_wvZvuZuuZuuYtt\ YstYstYrtXrsXqsXpsXpsWorWorWnrWmrVmqVlqVlqVkqUjpUj\ pUipdSd`Yh5Wm7Ui8SeARaCPY } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Minibrotism
by Roger Alexander 22 May '10

22 May '10

All dressed up in its outside=fmod finery this is my latest example of the ubiquitous minibrot. Ready for viewing at http://maxitersfractalfollies.blogspot.com fract220.gif { ; oddie brottie ; blank ; calctime 0:21:13.94 ; created May 21, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_n.frm formulaname=Nova4M passes=1 corners=-1.1854614102/-1.1822732582/0.27467439881/0.2761185895/-1.185006\ 887/0.27406836789 params=0/0/1e-007/0 float=y maxiter=1200 inside=0 proximity=1 outside=fmod colors=00000000000000000000000000000000000000000000000000000000000000000\ 000000000000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000mwzmwzlwzlwzkwzkvzjvzjvzivziuzhu\ zhuzguzguzftzetzetzdtzdszcszcszbszbszarzarz`rz`rz_qzZqzZqzYqzYqzXpyXpyWp\ yWpyVoyVoyUoyUoyTnySnySnyRnyRnyQmyQmyPmyPmyOlyOlyNlyNlyMlyLkyLkyKkyKkyJj\ yJjyIjyIjyHjyHixGixGixFixEhxEhxDhxDhxCgxCgxBgxBgxAgxAfx9fx9fx8fx7ex7ex6e\ x6ex5ex5dx4dx4dx3dx3cx2cx2cx1cx0bw0aw0aw0`w0`w0`v0_v0_v0_v0Zv0Zu0Zu0Yu0Y\ u0Xu0Xu0Xt0Wt0Wt0Wt0Vt0Vs0Us0Us0Us0Ts0Tr0Tr0Sr0Sr0Rr0Rq0Rq0Qq0Qq0Qq0Pp0P\ p0Pp0Op0Op0No0No0No0Mo0Mo0Mo0Ln0Ln0Kn0Kn0Kn0Jm0Jm0Jm0Im0Im0Il0Hl0Hl0Gl0G\ l0Gk0Fk0Fk0Fk0Ek0Ej0Dj0Dj0Dj0Cj0Ci0Ci0Bi0Bi0Ai0Ai0Ah09h09h09h08h08g08g07\ g07g06g06f06f05f05f05f04e04e03e03e03e02d02d02d01d01d00c } frm:Nova4M {; Mandelbrot-like set for Nova4. ; P2 is an inverse bailout, ; set this to a small nonzero value and use ; floating point. E.g. 0.0000001. ; The Nova Formulae, discovered by PGD. ; Freely distributable but may not be sold. z=1 c=pixel: z2=z*z z3=z*z2 z4=z*z3 func=z4-1 der=4*z3 oz=z z=z-(func/der)+c |oz-z|>p2 ;SOURCE: nova.frm } Roger Alexander _________________________________________________________________ 30 days of prizes to be won with Hotmail. Enter Here. http://go.microsoft.com/?linkid=9729709

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FOTD 21-05-10 (Something for Nothing [7.5])
by Jim Muth 21 May '10

21 May '10

FOTD -- May 21, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: The center coordinates of today's image are not an error. The scene of the image is actually located that far from the origin. The parent fractal is a monstrous distorted Mandeloid shaped like a figure-eight, with a magnitude of 0.00004, which is as small as the program can go. Actually, this parent fractal is only the large minibrot on the main spike of its parent Mandel- brot set, which is somewhere beyond reach, probably larger than infinity. The elements of the image resemble those of East Valley of the M-set, though the location of the image is in the detail on the western shore line of the northern lobe of the parent figure- eight fractal, which is nowhere near East Valley. The name "Something for Nothing" refers to the huge size of the parent fractal, which I once assumed would allow deeper inzooms. Unfortunately, increasing the size of the parent fractal merely shifts the decimal point. It does not create the greater preci- sion that would make greater magnification possible. After a few minutes of deep pondering, I rated the image at a 7.5, granting myself a 1/2 point bonus. I could rate it no higher, as it is really only another scene in the East Valley of a minibrot. The calculation time of 7-1/2 minutes is true on the P4-2000mhz machine. On the ancient but still working 200mhz 80586 unit, the image takes 41 minutes to finish. So why not forget the time your machine might take to run the included parameter file, if it will run the file at all. Hurry to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is posted, and enjoy instant gratifica- tion. An absolutely perfect spring day (sunny and 84F 29C) here at Fractal Central on Thursday was fully enjoyed by all, including the fractal cats in particular, who spent the entire afternoon watching the world go by. With the real work finished, my day was slow, which gave lots of time for pondering fractals among other things. FL spent a lot of time pondering ways to improve her garden. The next FOTD will be posted in 24 hours. Until then, take care, and if God is unchanging, as He would have to be if He is truly eternal, why has He apparently changed his mind about performing miracles such as we read about in the scriptures? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SomethingForNothin { ; time=0:07:36.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+14554.248291498/+19127.966866476/24444\ /1/97.5/0 params=-7/2/-7/1/-0.72/0/0/0 maxiter=6400 inside=0 logmap=-1200 periodicity=0 mathtolerance=0.05/1 colors=000766A98DBAGDCIFELHGO\ JIQLKTOMWROYTQ`WScZUhcWmhTrmQvsUzpYzmazieweiuaitYi\ sUhsQgrMfqIepEdoAco7cpA`pCZpEWpGUpIRpKPlNShPUdSW`U\ YXX_TZaPacLccHfcDhm9jzAhzBgzCdzDZVEURFPNGKJKPFPUBU\ ZAZc9ch8hl6mp5rs4vw3yl2r_9fRF_KLQE0K30G40D40A50050\ r_ztbzubzwgzyhzzgzyXzxXzwXzvLkuNjtPitRhsUgrWfqYep_\ doacncbom`neanYazTzvSzrcznQzjPbfOcbNeZMfVLhRKiHlPO\ HcOIgOJjOJmOKpIJyLKvOKsQKpTLmWLjYLg`MebMbeM_hNXjNU\ mNRqLSpMRpMQoNPoNPnNOnONmOMsG9mOMgWZhltehpcemabj__\ gYXcYo9P_8zz7yuLyvQzwUzxYsyNmzDzz3ez5zz7cz8zzAazBz\ zDZzFzzGzzIzzJzzIzzIzzIzzIzzJzzJzzKzzKzzKzzLzzLzzM\ zzMzzMVzNTzNQzOOzOMzO6zoAzjDzfHzbKzZNzVRzRUzNYzJ`z\ FczBazE_zHYzKWzNUzQSzTQzWOzZMzaKzdIzg5zcBzgHzjNznT\ zqjzudztZztTzsOzsIzrCzr7zrBzmEzhHzcLz_OzVRzQhzTczQ\ ZzOUzM5zR4zQ4zP8zSCzVGzXKz_NzaRzdVzfZzibzkeznizpmz\ sqzuuzxxzzxzxxzvxztxzrxzpxznqzIszGuzEwzCxzHxzm } 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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Re: [Fractint] AOTD 5_15
by JackOfTradeZ＠comcast.net 21 May '10

21 May '10

. Animation of the Mayan Mystery (FOTD 5-15-10) is posted: http://www.fractal-animation.net/vid/mayanbrot.zip 22 Meg. WMV format, 115 sec (I think it was peyote and little smoke that influenced ancient SA indian art) .

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Triangles!
by Roger Alexander 21 May '10

21 May '10

Today's fractal is a variation of the Seirpinski triangle. I aimed for a coloring that suggested the mechanical or cybernetic. To demonstrate the awesome power of the internet go to http://maxitersfractalfollies.blogspot.com for an instant viewing. may_20_10.gif { ; seirpinski like ; blank ; calctime 0:01:27.88 ; created May 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2000 type=formula formulafile=esc-ifs.frm formulaname=EqTrngl center-mag=-4.44089e-016/0.0782269/0.8912656 params=2/0 float=y maxiter=1200 outside=atan cyclerange=0/255 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } frm:EqTrngl{ z=pixel, j=(0, -1), k=(.8660, 0.5), l=(-0.8660, 0.5): x=real(z) y=imag(z) r=.575*x x1=(y>=r) x2=(-r<=y) x3=(x1 && x2) x4=(x3==0) a=x3*j b=(x<=0)*x4*k c=(x>0)*x4*l p=a+b+c z=p1*z+p |z|<=100 } Roger Alexander _________________________________________________________________ Win a $10,000 shopping spree from Hotmail! Enter now. http://go.microsoft.com/?linkid=9729711

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Minibrots in abundance
by Roger Alexander 20 May '10

20 May '10

A plethora I say, yes a plethora of minibrots.When I promise 'brots I deliver 'brots. Don't be shy, treat yourself to a heapin' helpin' of calculations from the complex plane. What do I mean by a plethora of brots? Save some calculation time and go to http://maxitersfractalfollies.blogspot.com to see for yourself. fract212.gif { ; brotties ; blank ; calctime 0:01:18.43 ; created May 18, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=calres.frm formulaname=TileMandel center-mag=-0.0057863/0.415756/10.40608/1/180 params=-0.5/0/0.8/4 float=y maxiter=1500 inside=0 outside=atan invert=1.75/0/0 colors=00zzzzzzzzzzzzzyyyyyyyyyyyyxxxxxxxxxxxxwwwwwwwwwwwwvvvvvvvvvvvvuu\ uuuuuuuuuuttttttttttttssssssssssssrrrrrrrrrrrrqqqqqqqqqqqqppppppppppppoo\ oooooooooonnnnnnnnnnnnmmmmmmmmmmmmllllllllllllkkkkkkkkkkkkjjjjjjjjjjjjii\ iiiiiiiiiihhhhhhhhhhhhggggggggggggffffffffffffeeeeeeeeeeeeeeeddddddddddd\ dccccccccccccbbbbbbbbbbbbaaaaaaaaaaaa````````````____________ZZZZZZZZZZZ\ ZYYYYYYYYYYYYXXXXXXXXXXXXWWWWWWWWWWWWVVVVVVVVVVVVUUUUUUUUUUUUTTTTTTTTTTT\ TSSSSSSSSSSSSRRRRRRRRRRRRQQQQQQQQQQQQPPPPPPPPPPPPOOOOOOOOOOOONNNNNNNNNNN\ NMMMMMMMMMMMMLLLLLLLLLLLLLLLKKKKKKKKKKKKJJJJJJJJJJJJIIIIIIIIIIIIHHHHHHHH\ HHHHGGGGGGGGGGGGFFFFFFFFFFFFEEEEEEEEEEEEDDDDDDDDDDDDCCCCCCCCCCCCBBBBBBBB\ BBBBAAAAAAAAAAAA99999999999988888888888877777777777766666666666655555555\ 5555444444444444333333333333222222222222111111111111000 } frm:TileMandel { ; modified by Sylvie Gallet [101324,3444] ; from FRACTINT.FRM ; p1 = center = coordinates for a good Mandel ; 0 <= real(p2) = magnification. Default for magnification is 1/3 ; 0 <= imag(p2) = numtiles. Default for numtiles is 3 center = p1 , mag = real(p2)*(p2>0) + (p2<=0)/3 numtiles = imag(p2)*(flip(p2)>0) + 3*(flip(p2)<=0) omega = numtiles*2*pi/3 x = asin(sin(omega*real(pixel))) , y = asin(sin(omega*imag(pixel))) z = c = (x+flip(y)) / mag + center : z = z*z + c |z| <= 4 } Roger Alexander _________________________________________________________________ 30 days of prizes to be won with Hotmail. Enter Here. http://go.microsoft.com/?linkid=9729709

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FOTD 20-05-10 (Writhing Tentacles [7])
by Jim Muth 20 May '10

20 May '10

FOTD -- May 20, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image, a totally graphic black-and-white, is rated at a 7. Basically, it's a study of what is possible with the pre- cooked color palettes built into Fractint. To create the image, I returned to one of the old MandNewt formulas, number 6 to be exact, entered some random whole-number parameters, and let her rip. I'm not sure what these formulas actually do, but what came up was a virtually blank screen consisting of 'inside' stuff. Never giving up on blank screens without at least a little fight, I applied the 'bof60' inside fill option to the blank screen and was surprised by the result. The first image was near total color-chaos, but when I turned on the logmap and applied one of the broad color palettes, things shaped up fast. Today's image shows the final result, which is surprisingly three-dimensional for a flat fractal. I named the image "Writhing Tentacles" since a tentacle was the first thing that came to mind when I saw the finished image. The calculation time of a zippy 49 seconds will pass in a flash. The trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to see the completed image will pass in a flash also. The skies were brighter here at Fractal Central on Wednesday, but the sun was still hidden. The temperature of 64F 18C was warmer than the past few days, but still fell short of the 72F 22C that is typical for mid-May. The fractal cats were quite alert most of the day, dashing from one window to another. I think a stray cat was prowling nearby, though I never saw one. My day was a very dull average. FL's day was a little above average. The next FOTD, also a little above average, will be posted in 24 hours. Until then, take care, and after all these years, I still don't know what a proton looks like. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Writhing_Tentacles { ; time=0:00:49.75-SF5 on P4-2000 reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt06 passes=1 center-mag=2.21949\ /0.923324/0.3180807/1/-140/0 params=1/6/3/8/5/6 float=y maxiter=100 inside=bof60 logmap=yes periodicity=0 colors=000zzzyyyxxxxxxwwwwwwvvvvvvuuuuuuttttttssss\ ssrrrrrrqqqqqqppppppoooooonnnnnnmmmmmmllllllkkkkkk\ jjjjjjiiiiiihhhhhhggggggffffffeeeeeeddddddccccccbb\ bbbbaaaaaa``````______ZZZZZZYYYYYYXXXXXXWWWWWWVVVV\ VVVVVUUUUUUTTTTTTSSSSSSRRRRRRQQQQQQPPPPPPOOOOOONNN\ NNNMMMMMMLLLLLLKKKKKKJJJJJJIIIIIIHHHHHHGGGGGGFFFFF\ FFFFFFFFFFDDDCCCCCCBBBBBBAAAAAA9999998888887777776\ 66666555555444444333333222222111111000000000000000\ 11111122222233333344444455555566666677777788888899\ 9999AAAAAABBBBBBCCCCCCDDDDDDEEEEEEFFFFFFGGGGGGHHHH\ HHIIIIIIJJJJJJKKKKKKLLLLLLMMMMMMNNNNNNOOOOOOPPPPPP\ QQQQQQRRRRRRSSSSSSTTTTTTUUUUUUVVVVVVVVVWWWWWWXXXXX\ XYYYYYYZZZZZZ______``````aaaaaabbbbbbccccccdddddde\ eeeeeffffffgggggghhhhhhiiiiiijjjjjjkkkkkkllllllmmm\ mmmnnnnnnooooooppppppqqqqqqrrrrrrssssssttttttuuuuu\ uvvvvvvwwwwwwxxxxxxyyyyyy } frm:MandNewt06 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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Newts!
by Roger Alexander 20 May '10

20 May '10

Newtons are fractals too.This one is symmetrical but not visually monotonous with the distinguishing thread-like structure of the newton. Go to http://maxitersfractalfollies.blogspot.com to see the eager to be downloaded gif. ract213.gif { ; newts ; blank ; calctime 0:01:37.27 ; created May 19, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=crazynwt.frm formulaname=Nwtfn12rot function=sqr/asin center-mag=-8.88178e-016/0.0801336/1.253133 params=6.072603534043397/-0.08343760490737633/2.8676412244026/1.08444471\ 5720084 float=y maxiter=1500 inside=0 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } frm:Nwtfn12rot { ;The factor exp(p1*...) rotates the pixels ;according to their distance from the origin if p1 is ;chosen complex. z = pixel+1/fn1(p2*pixel*exp(p1*fn2(|pixel|))) , Root = 1 : z = (4 * z^5 + Root) / (5 * z^4); .001 <= |z^5 - Root| } Roger Alexander _________________________________________________________________ 30 days of prizes: Hotmail makes your day easier! Enter Now. http://go.microsoft.com/?linkid=9729710

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Re: [Fractint] AOTD 5_15
by maxiterfractal＠hotmail.com 19 May '10

19 May '10

On 2010-05-19 14:03, JackOfTradeZ wrote: > . > > Animation of the Mayan Mystery (FOTD 5-15-10) is posted: > > > http://www.fractal-animation.net/vid/mayanbrot.zip > > > 22 Meg. WMV format, 115 sec > > > (I think it was peyote and little smoke that influenced ancient SA indian art) > > . > Great animation of a great fractal. Roger Alexander

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