July 2010 - Fractint - mailman.xmission.com

Threads (or Filaments) one more time
by Roger Alexander 17 Jul '10

17 Jul '10

More threads (or filaments). A re-sampled gif is scheduled for tomorrow. If you want you can avoid the risk of generating the par then saying I want my 15 minutes back by visiting the usual http://maxitersfractalfollies.blogspot.com for the completed version. fract313.gif { ; threads ; blank ; calctime 0:15:18.14 ; created Jul 16, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=starnear_jul center-mag=-0.497582/0.874017/7.559265 params=0.375/0.375/0.5/2/2/35 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=05F05F05F16G16G16G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49\ J49J5AK5AK5AK5AK5AK6BL6BL6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9E\ O9EOAFPAFPAFPAFPAFPBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJ\ TFKTGKUGLUHLVHMVIMVINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRV\ aRVaSWbSWbTXbTXcUYcUYcVZdVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibe\ jbfjcfjcgkdgkdhlehleilfimfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnq\ snqsorsortpstpstqtuqturuuruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtw\ wsvwsvvruvquuqtupstostorsnqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleileh\ kdhkcgjcfjbfibeiaeh`dh`cg_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV\ _QU_PTZPTZOSYNSYNRXMQXLQWLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBG\ OBFOAFN9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27H16G16G05F } frm:starnear_jul { ; Kerry Mitchell 09oct98 ; ; Julia set, colors by nearest approach to 5 point star ; p1 = Julia parameter ; p2 = center of star ; cabs(real(p3)) = star size of star (try 1) ; sign(real(p3)) = pixel flag: ; + = don't consider pixel--start after first iteration ; - = consider pixel ; imag(p3) = star rotation angle, degrees ; only use angles from 0 to 36 degrees ; use decomp=256, bailout hardcoded to 10^12 ; ; initialize iteration parameters ; c=p1, zc=pixel, done=0, iter=1 bailout=1e12, fmin=bailout ; ; star parameters ; center=p2, xcen=real(center), ycen=imag(center) r=cabs(real(p3)), pixelflag=0 if(real(p3)<0) pixelflag=1 endif phi=imag(p3)/180*pi, twopi=2*pi, temp=twopi/10 t0=phi, t1=t0+temp t2=t1+temp, t3=t2+temp, t4=t3+temp, t5=t4+temp t6=t5+temp, t7=t6+temp, t8=t7+temp, t9=t8+temp ; ; set up control points ; x0=r*cos(t0)+xcen, y0=r*sin(t0)+ycen x1=r*cos(t2)+xcen, y1=r*sin(t2)+ycen x2=r*cos(t4)+xcen, y2=r*sin(t4)+ycen x3=r*cos(t6)+xcen, y3=r*sin(t6)+ycen x4=r*cos(t8)+xcen, y4=r*sin(t8)+ycen ; ; if pixel flag =/= 0, then check pixel for how close ; it is to star ; if(pixelflag!=0) x=real(zc), y=imag(zc), t=imag(log(zc-center)) if(t<0) t=t+twopi endif if((t>t0)&&(t<=t1)) f=x*(y0-y2)+y*(x2-x0)-x2*y0+x0*y2 elseif((t>t1)&&(t<=t2)) f=x*(y1-y4)+y*(x4-x1)-x4*y1+x1*y4 elseif((t>t2)&&(t<=t3)) f=x*(y1-y3)+y*(x3-x1)-x3*y1+x1*y3 elseif((t>t3)&&(t<=t4)) f=x*(y2-y0)+y*(x0-x2)-x0*y2+x2*y0 elseif((t>t4)&&(t<=t5)) f=x*(y2-y4)+y*(x4-x2)-x4*y2+x2*y4 elseif((t>t5)&&(t<=t6)) f=x*(y3-y1)+y*(x1-x3)-x1*y3+x3*y1 elseif((t>t6)&&(t<=t7)) f=x*(y3-y0)+y*(x0-x3)-x0*y3+x3*y0 elseif((t>t7)&&(t<=t8)) f=x*(y4-y2)+y*(x2-x4)-x2*y4+x4*y2 elseif((t>t8)&&(t<=t9)) f=x*(y4-y1)+y*(x1-x4)-x1*y4+x4*y1 else f=x*(y3-y0)+y*(x0-x3)-x0*y3+x3*y0 endif fmin=cabs(f) endif : ; standard iteration, find polar angle of iterate ; iter=iter+1, zc=sqr(zc)+c x=real(zc), y=imag(zc), t=imag(log(zc-center)) if(t<0) t=t+twopi endif ; ; compute how close iterate is to each side of star ; if((t>t0)&&(t<=t1)) f=x*(y0-y2)+y*(x2-x0)-x2*y0+x0*y2 elseif((t>t1)&&(t<=t2)) f=x*(y1-y4)+y*(x4-x1)-x4*y1+x1*y4 elseif((t>t2)&&(t<=t3)) f=x*(y1-y3)+y*(x3-x1)-x3*y1+x1*y3 elseif((t>t3)&&(t<=t4)) f=x*(y2-y0)+y*(x0-x2)-x0*y2+x2*y0 elseif((t>t4)&&(t<=t5)) f=x*(y2-y4)+y*(x4-x2)-x4*y2+x2*y4 elseif((t>t5)&&(t<=t6)) f=x*(y3-y1)+y*(x1-x3)-x1*y3+x3*y1 elseif((t>t6)&&(t<=t7)) f=x*(y3-y0)+y*(x0-x3)-x0*y3+x3*y0 elseif((t>t7)&&(t<=t8)) f=x*(y4-y2)+y*(x2-x4)-x2*y4+x4*y2 elseif((t>t8)&&(t<=t9)) f=x*(y4-y1)+y*(x1-x4)-x1*y4+x4*y1 else f=x*(y3-y0)+y*(x0-x3)-x0*y3+x3*y0 endif f=cabs(f) ; ; update minimum distance ; if(f<fmin) fmin=f zmin=zc endif ; ; upon escape or maximum iterations: ; set "done" flag ; use minimum distance from star as polar angle of z ; for use with decomp coloring ; if((|zc|>bailout)||(iter==maxit)) done=1 t=log(fmin) z=cos(t)+flip(sin(t)) endif done==0 } Roger Alexander _________________________________________________________________

1 0

Re: [Fractint] A Fetching Little Spiral
by Roger Alexander 16 Jul '10

16 Jul '10

On 2010-07-16 20:52, Paul N. Lee wrote: > Roger Alexander wrote: > > > > ....go to http://maxitersfractalfollies.blogspot.com > > to see the finished version.... > > > > I see that the "Followers" of your web blog are slowly growing in > number. Are there other places outside of the FractInt List that you > advertise your postings?? > > > Sincerely, > P.N.L. > > The only place I post my blog url is on the mailing list although I suppose with Google search surfers might find obscure niches where my blog is mentioned. The blogs main purpose is to stash precalculated images like Jims Muth's pages at www.Nahee.com. I also occasionally post humorous or domestics bits. _________________________________________________________________ MSN Dating: Find someone special. Start now. http://go.microsoft.com/?linkid=9734384

1 0

A Fetching Little Spiral
by Roger Alexander 16 Jul '10

16 Jul '10

Escape time fractal and spiral,like day follows night. Hope you like this five armed symphony of self-similarity. This graphic is something of a slowpoke go to http://maxitersfractalfollies.blogspot.com to see the finished version and save some clock cycles. fract313.gif { ; a spiral ; blank ; calctime 0:41:44.05 ; created Jul 15, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2000 type=formula formulafile=_r.frm formulaname=RSQ-TT-MJ center-mag=+0.99684261974584600/+0.73345501955671440/2666.667 params=-0.8287301248207037/-0.6443372905667287/0.1785637989440596/-0.235\ 2061525315104 float=y maxiter=3400 logmap=80 cyclerange=0/255 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm:RSQ-TT-MJ {; P1 is the Mandelbrot/Julia coordinates (real & imaginary) ; P2(real [decimal]) is the % remaining in Mandelbrot Space (0.13 = 13%) J=P1 M=P2 ; (Only the REAL NEED BE USED... quite different if IMAGINARY GIVEN K=1-M ; % Julia given from Mandelbrot z = Pixel: z = (M*(sqr(z)+pixel))+(K*(sqr(z)+J)) |z| <= 4 ;Equation entries of 1st image: p1 real=-0.05; p1 imaginary=0.65 ; p2 real= 0.1 ; p2 imaginary=0 (always) } Roger Alexander _________________________________________________________________ Learn more ways to connect with your buddies now http://go.microsoft.com/?linkid=9734388

2 1

FOTD 16-07-10 (Back to the Mandy [6])
by Jim Muth 16 Jul '10

16 Jul '10

FOTD -- July 16, 2010 (Rating 6) Fractal visionaries and enthusiasts: When a big unexpected and very urgent graphic design job arrived at FC on Thursday, I turned to the always dependable Mandelbrot set for a quick fractal. Once again the set did not fail me. Within 10 minutes I had tracked down today's deep scene on the northwest shore line of the main bay. I named the image "Back to the Mandy" for the obvious reason. Since I had so little time for the coloring, I could manage only a rating of a 6. The calculation time of 11-1/2 minutes is on the slow side, but the magnitude of the image is over 10^17, so this time is still quite a bargain. Those who do not calculate may view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> BTW, the web site will soon have a new logo featuring my all- time favorite fractal. Typical midsummer weather prevailed here at Fractal Central on Thursday. In central Pennsylvania this means a temperature around 90F 32C, rather high humidity, partly cloudy skies and a constant chance of pop-up showers. The day remained dry however. My day was exceptionally busy; FL shared the rush. The fractal cats were more concerned with the lack of attention than the summer weather. The next FOTD will probably be posted within 24 hours. Until whenever, take care, and maybe I'll give up this unpredictable graphic design business and make my living selling prints of even less predictable fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Back_to_the_Mandy { ; time=0:11:31.03-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.5332033253863\ 6112106947/0.49837305590697647813509/1.415616e+017\ /1/52.5/0 params=0/0 float=y maxiter=4500 bailout=9 inside=0 logmap=585 mathtolerance=0.05/0 colors=000CEbDFcEGdFHeGIfHJgIKhJLiKMjLNkMOlNPmOQnP\ RoQSpRUoSWmTYmU_mVamWcmXemYgmZim_kmQL5VM7ZOAcPCgRF\ lSHpTJmXMj`PhdSehVblY`p_UfXNYUkWYlVamUenThoS_pRSqQ\ KqQCrVKrZRsbYsfdtjktnrrprqmrnikleeiaZgYThWViVXjUYk\ S_lR`mQbmPcnYdoedpndqvdeuhUukIunLrnOonQlnTjnWgnYdn\ `anb_ndcifgdgk`ioWksRlwNvpXiwziuzcszYqzSozNmzFkz8i\ w9guAfsBdqCcpCanD`lEZjFYiGWgGVeHTcISbJQ`KPZKOYLNWM\ NUMMTNMRNMQOLOPLMPKLQKJQKI2jd7d_CZVHUQMOLRIGVDBTCF\ RBKPAPO9UM8ZKAcIChHEmFGrDIvCKzBIvBGrAEmAAh97c94Z81\ U81U70T70SMAXWCVeDTpFRpERoDSoBSnATn8Tm7Ul5VL3DG7FB\ CI6GK0LN9YHIkAehGecFeYEdSDbXL`bTYg`m00zz0z0XGCCKBC\ OACS9DW8D_7Dc6Eg5El3Fn2Kp1Qr0Wk8VdGUYOTkEfkDhhEmeE\ rbFv_FzYFzYBzU4zU9zUEzUJzUOzUTzzXzz_zzbzzezzhzzkzz\ nzzpzzrzztzzvzzxzzzzzzzzzzzzzZzzXzzQzzJzzDzzEzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzPz`NzfLzlJzrGzxGzwGzvFz\ uFztEzsEzpEzmEzjDzgDzdDza } END PARAMETER FILE=========================================

1 0

Big rush = late FOTD
by Jim Muth 16 Jul '10

16 Jul '10

Fractal visionaries and enthusiasts: Due to an unexpected rush job here at FC, the FOTD for July 16 will be late. Sorry for the delay. JIM

1 0

FOTD 14-07-10 (Whole New World [8])
by Jim Muth 15 Jul '10

15 Jul '10

FOTD -- July 14, 2010 (Rating 8) Fractal visionaries and enthusiasts: There are minibrots and there are more minibrots, and then there are things like the minibrot in today's image. I'm not sure if it's a minibrot or not. If either or both real(p3) and real(p4) are changed to zero, the image becomes just another scene not too deep in Seahorse Valley of the Mandelbrot set, but when real(p3) is set to 0.77 and real(p4) is set to the reciprocal of one-googol, the minibrot fills with totally new stuff, which can be zoomed into and explored, and therefore is not an artifact. The formula draws the hypercomplex Mandelbrot set, and it does so quite well. But how is it possible that a value as infinites- imal as the 10^-100 of real(p4) can make such a difference in the image? Regardless of how the image came about however, a whole new world lies inside the minibrot, waiting to be explored. I'll do a little exploration in tomorrow's FOTD, but I really want to get that FOTD web-site logo finished. The rating of an 8 is based on the mathematical interest. The artistic value of the image is everyday average. The calcula- tion time of 1-1/4 minutes will cause no pain to any fractal fanatic. The image is also available on the FOTD web site at: <http://www.Nahee.com/FOTD/> where if all goes well, the FOTD logo will soon be seen in its full glory! Nondescript weather prevailed here at Fractal Central on Tuesday. This means partly cloudy skies and a temperature of a humid 84F 29C. The fractal cats ignored the outside conditions and clung to the cool air most of the day. In my department the work was busy, but thanks to FL, it was finished without a hitch. Unfortunately however, due to the rush, the FOTD web site logo remains in the rudimentary stage. The next FOTD will be posted in 24 hours. Until then, take care, and I hear that Australia recently recorded the lowest temperature in that nation's history. This could mean that all the fuss about global warming has been a false alarm, but more likely, we're confusing weather with climate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Whole_New_World { ; time=0:01:16.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.7583459371/+0.0768359714/28534.27/1/\ 34/0 params=0/0/0/0/0.77/0/1e-100/0 float=y maxiter=875 inside=0 logmap=-109 periodicity=0 colors=000OJiOJkOJlOJnOJoOJmOJkPJjQJhRJfSJeTJcUJaV\ J`XJZZJX`JWbJUdJSfJRhJPjJNkJMjLOiNPhPRfRSeTUdVVbXW\ aZY``ZZb`YcaXecVgdUieTkgRmhQojPqkNsmMtnLuoJslIqiHo\ fGlcFj`EhYHeXKbWM_VPXURTTURSWPRZOQ`OQbOQdPQfQQgRQi\ SQkTQmVQnWQpXQrYQtZQu_Qt`Tt`WsaZsaasbcrbfrciqclqdo\ qdqpeppfpogpohpoipnjpnkpnkpmlpmmplnploplppkqpkrpkr\ pjspjtpiupivpiwphxphyphypeuncrlaoj_lhXifVfdTccR`aO\ Y_MVYKRWIOUFLS10HDIRBFP9CN69L46J23HCUNBRMAPL9NL8KK\ 7IK6GJ5DJ4BI39I26H14H02G2nE1kF1hF1eF1cF1`F1YF1WF1T\ F1QF0OG0LG0IG0GG0DG0AG08G05G02G3g92bA2ZB2UC1QC1MD1\ HE0DE08F04GP`ZNYXMWWKUVJSUHQTGNSELRDJQBHOAFN8DM7AL\ 58K46J24I12HLjJKhIJfIIdIHbIG`IFZIEXIEVIDTHCRHBPHAN\ H9LH8JH7HH7FH6DG5BG49G37G25G13G01GIBWGAUF9TD8SC7QA\ 6P95O74M63L42K31I10HzzBvzCrcCzmChPCcODZMDULDPJDKIE\ AGE0FENzHOzIOzJPzKznMzmNzlOzjczihzgmzfrzdvzjzzmzzm\ zzmzzrzzvzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

2 1

FOTD 15-07-10 (Mysterious Depths [8])
by Jim Muth 15 Jul '10

15 Jul '10

FOTD -- July 15, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us deep into the large period-3 north bud of the strange minibrot in yesterday's FOTD image. The name "Mys- terious Depths" refers to the strange things found there. I am not sure if images such as today's are real fractals or artifacts of mathematical imprecision, but whatever they are, they make some very interesting fractals. The rating of an 8 is based on the mathematical interest. The artistic value is little more than average. The image calculates in 3 minutes, fast enough to keep boredom away and slow enough for a fractalist to work up a little anticipation. The image may also be seen on the FOTD web site at: <http://www.Nahee.com/FOTD/> where it is posted in finished, ready-to-view form. Over one inch, 3cm, of rain fell here at Fractal Central over- night Tuesday. The local farmers say this certainly did not end the drought, but it did bring immediate short term relief. The rain shortage for the year is still over 10 inches, 25cm. The clouds cleared away early Wednesday afternoon, letting the temperature reach 84F 29C. The fractal cats must have approved of things. They were unusually active most of the afternoon. My day was busy, but under control. The next FOTD will be posted in 24 hours. Until then, take care, and be lucky. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mysterious_Depths { ; time=0:03:07.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7583373\ 90127983/+0.07684186174621/7.2e+011/1/-56/0 float=y params=0/0/0/0/0.77/0/1e-100/0 maxiter=1238 inside=0 logmap=982 periodicity=none mathtolerance=0.05/1 colors=000KLLKOMKRNKUOKXPK_QKbSKeUKhWKmYKr_KvaKzcz\ _lzVlwQlwMlvNkvOjvPivPhvQgvRfvSevSdvTcvUbvVavV`wQ_\ wLZwGZwBYw6YUDFUEMTFTTG_SHfSImSKtQTrPapUgncmlmsmrw\ nzxozypzzqzznzzkzzhYke`hcce`fcYi`VlYSnWQpXQrYQtZQu\ _Qt`Tt`WsaZsaasbcrbfrciqclqdoqdqpeppfpogpohpoipnjp\ nkpnkpmmpmnplpplqplspktpmuprupwvpwwpwxpwypwzpzzpzz\ pzzpzuncrlaoj_lhXifVfdTccR`aOY_MVYKRWIOUFLS10HDIRB\ FP9CN69L46J23HCczB_zAWv9Rr8Lm7Ih6Gc5DZ4BU39I26H14H\ 02G2nE1kF1hF1eF1cF1`F1YF1WF1TF1QF0OG0LG0IG0GG0DG0A\ G08G05G02G3g92bA2ZB2UC1QC1MD1HE0DE08F04GP`ZNYXMWWK\ UVJSUHQTGNSELRDJQBHOAFN8DM7AL58K46J24I12HLjJKhIJfI\ IdIHbIG`IFZIEXIEVIDTHCRHBPHANH9LH8JH7HH7FH6DG5BG49\ G37G25G13G01GIBWGAUF9TD8SC7QA6P95O74M63L42K31I10Hz\ zBvzCrcCzmChPCcODZMDULDPJDKIEAGE0FENzHOzIOzJPzKznM\ zmNzlOzjczihzgmzfrzdvzjzzmzzmzzmzzrzzvzzzzzzzzzzzz\ zzzzOPiKNkHRQFUQEWQCZRB`R } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

Cobalt Capilleries
by Roger Alexander 14 Jul '10

14 Jul '10

Another busy day at Action Central so today's posting will be brief- but not so brief I won't mention the completed fractal is on display at http://maxitersfractalfollies.blogspot.com. fract307.gif { ;Cobalt Capillaries-I just like the sound of it ; blank ; calctime 0:02:42.14 ; created Jul 13, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_k.frm formulaname=km_10 passes=1 center-mag=-0.189282/-0.728366/7.747816/1/127.500000000000014/-7.5946193\ 7782646146e-014 params=0.875/0.875/1.75/1.75/0.2483901486251411/-0.5270851771599475/-0.7\ 5/-0.75 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=05F05F05F16G16G16G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49\ J49J5AK5AK5AK5AK5AK6BL6BL6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9E\ O9EOAFPAFPAFPAFPAFPBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJ\ TFKTGKUGLUHLVHMVIMVINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRV\ aRVaSWbSWbTXbTXcUYcUYcVZdVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibe\ jbfjcfjcgkdgkdhlehleilfimfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnq\ snqsorsortpstpstqtuqturuuruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtw\ wsvwsvvruvquuqtupstostorsnqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleileh\ kdhkcgjcfjbfibeiaeh`dh`cg_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV\ _QU_PTZPTZOSYNSYNRXMQXLQWLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBG\ OBFOAFN9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27H16G16G05F } frm: km_10 { ; Kerry Mitchell ; originally conic-near_juli ; tweaked so user can directly input ; julia parameters (p4) originally hardcoded ; to 0,1 cc=p4, zc=pixel, maxr=1e12, minr=maxr, iter=1 a=real(p1), b=imag(p1), c=real(p2), d=imag(p2) e=real(p3), f=imag(p3): iter=iter+1, zc=sqr(zc)+cc, x=real(zc), y=imag(zc) conic=|x*(a*x+b)+y*(c*y+d)+e*x*y+f| if (conic<minr) minr=conic end if if ((|zc|>maxr)||(iter==maxit)) iter=-1 t=log(minr) z=cos(t)+flip(sin(t)) end if iter>0 ;SOURCE: kerrym.frm } Roger Alexander _________________________________________________________________ Game on: Challenge friends to great games on Messenger http://go.microsoft.com/?linkid=9734387

1 0

FOTD 13-07-10 (Galaxial Attraction [6])
by Jim Muth 13 Jul '10

13 Jul '10

FOTD -- July 13, 2010 (Rating 6) Fractal visionaries and enthusiasts: Due to the unusual colors of today's image, I wanted to rate it higher, but I just couldn't shake the feeling that I had seen something similar so many times before. It takes more than just colors to make a great fractal image, so I finally settled for a rating of a 6, which is slightly above average. The generating expression combines 1.5 negative portions of Z^(0.6) with 0.25 negative portion of Z^(6.4) and then adds (1/C). The parent fractal is an area of scattered Mandelbrot sets with different degrees of distortion, all of them surroun- ded by clouds of smaller satellite M-sets, all the way to infinity. Today's scene lies in a satellite of a satellite very deep in what appears to be an East Valley of one of the largest M-sets. The name "Galaxial Attraction" means next to nothing. It's probably a carry-over from my wonder years, when I wanted to be an astronomer. Due to the extreme magnitude of the image, the mathtolerance entry in the parameter file is absolutely necessary. Without it, all kinds of weird things happen. The image actually lies beyond the range of perfect resolution, but the resulting break- down is hardly noticeable. The calculation time of 1-1/2 minutes is a fair price to pay for today's image. The real bargain price may be found on the FOTD web site, where the already-calculated image may be viewed instantly. The web site may be accessed at: <http://www.Nahee.com/FOTD/> The temperature rose to 88F 31C in the early afternoon on Monday here at Fractal Central. At 4pm however a thunder-storm moved in with a gust of wind and a brief downpour of rain. By 5pm the temperature was a comfortable 73F 23C. The storm dropped 1.5cm or just under 1/2 inch of rain, much to FL's satisfaction, but the rain here is still about 25cm or 10 inches below normal for the year. The fractal cats braved the storm without dashing for cover. The next FOTD will be posted in 24 hours. Until then, take care, and every fractal should exceed the one before. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= GalaxialAttraction { ; time=0:01:33.41-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.4069265102167707/+0.1836836593039934\ /2.5e+013/1/-55/0 params=-1.5/0.6/-0.25/6.4/0/0/0/0 maxiter=1800 inside=255 logmap=394 periodicity=6 mathtolerance=0.05/1 colors=00000500A00F00K00P00U00Z00c00h00m00r00w00zA\ JAFMAPPPSTSWWW_Z_bbbfefjhjmkmiijfhgbfd_eaXcZTbWQ`T\ N_RM`UMaWMbZMc`LdcLdeLehTchLfjKgmKhoKirVToSYqParMe\ shgnchpZhqUirPisej`Ca2EcDGeOHfZJhiO`nNborzzowzlvzi\ uzfszcqz`ozfnymmwrrrvvvzzzzzzhjrcjrZjsUisPityhxsiw\ niwiivdivZiuUiuPitVNRTQUSSXRU_QXbPZeO`hNckMenLgqai\ 1YiDUiORiZNii2D54HB6KG8NLARQBUVDX`F`eHcjJfoIBUJFXJ\ I_JMbJPdJTgKWjK_lKboKfrN`1McKLfbLBEKEIKHMKKPKNTKQW\ KT_KWcKZfKajKdmKgqK3eJ6eJ9eJCjNFoNIrNLtMOtMQtMTtLW\ tLZtLatKdtKgtnzgkxhiwifvjdtkbsl_rmYpnVooTnpRlqOkrM\ jsAKuBMtCOtDQtDStEUtFWtFXtGZtH`tIbtIdtJftKhtSbUPeb\ MgkWKoVMpUOpTQqaSslUzQWrPYrO_sNasMcsLetKgt7HN9KQAM\ TBPWCRZDUaEWcFYfG`iHblIeoJgrPMJOOMOQPNSSNTUNVXMX_M\ YaM_dLagLcjLdlKfoKhrrmKomOlmRimzfmzcmz`mzYmzVmzSmz\ PmzMmzjmzamzTmzgmzdmzbmz_mzYzzWzzTzzRzzOzzMzzyzzuz\ zrzzozzlzzhzzezzbzz_zzzzZ } 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

A Weave Effect
by Roger Alexander 13 Jul '10

13 Jul '10

Knock knock... Who's there? Orange. Orange who? Orange you glad I didn't say "Today's minibrot..." Today's posting is not a minibrot it's a fractal with a metallic weave effect from the Liar family of formulas. Use an outside coloring with a higher than usual proximity value, calculate with low maximum iteration value and you get today's fractal. Go to the old reliable http://maxitersfractalfollies.blogspot.com for the pre-calculated fractal. And now for the local weather report.Calgary had a hailstorm today with some large hailstones but not of the bigger than a golf ball type. No significant damage but with this latest down pour the weather remains unseasonably wet and cold and the farmers are worried. fract310.gif { ; metallic weave ; blank ; calctime 0:01:21.67 ; created Jul 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=fract001.frm formulaname=F'Liar1 function=ident center-mag=3.41766/-2.62175/0.8266842 params=0.9479354228339488/0.30405590990936 float=y maxiter=15 inside=0 proximity=2 outside=fmod invert=0.791558580278939/-0.0923184911648915/-0.439802240058596 colors=000CGUBET9DS8BR7AQ69P57O36N24M13L02K02K13L25M36N47O69P7AQ8CR9DSAE\ TBGUCHVDIWFKXGLYHMZIO_JP`KRaLSbMTcOVePWfQXgRZhS_iTajUbkVclXemYfnZgo_ip`j\ qakrbmscntepufqvgrwhtxiuyjvzjvziuyhsxgrwfqvdoucntblsakr`jq_hpZgoYfnWdmVc\ lUbkT`jS_iRYhQXgPWfNUdMTcLSbKQaJP`IN_HMZGLYEJXDIWCHVBFUAET9DS8BR7AQ58P47\ O36N24M13L02K02K13L25M36N47O69P7AQ8CR9DSAETBGUCHVDIWFKXGLYHMZIO_JP`KRaLS\ bMTcOVePWfQXgRZhS_iTajUbkVclXemYfnZgo_ip`jqakrbmscntepufqvgrwhtxiuyjvzjv\ ziuyhsxgrwfqvdoucntblsakr`jq_hpZgoYfnWdmVclUbkT`jS_iRYhQXgPWfNUdMTcLSbKQ\ aJP`IN_HMZGLYEJXDIWCHVBFUAET9DS8BR7AQ58P47O36N24M13L02K02K13L25M36N47O69\ P7AQ8CR9DSAETBGUCHVDIWFKXGLYHNZIO_JP`KRaLSbMTcOVePWfQYgRZhS_iTajUbkVclXe\ mYfnZho_ip`jqalrbmscntepufqvgswhtxhtxiuyhtxgrwfqveoucntbmsakr`jq_ipZgoYf\ nXdmWclVbkT`iS_hRZgQXfPWeOUdNTcMSbLQaKP`IO_HMZGLYFJXEIW } frm:F'Liar1 {; Generalization by Jon Horner of Chuck Ebbert formula. ; X: X is as true as Y ; Y: Y is as true as X is false ; Calculate new x and y values simultaneously. ; y(n+1)=abs((1-x(n) )-y(n) ), x(n+1)=1-abs(y(n)-x(n) ) z = pixel: z = 1 - abs(imag(z)-real(z) ) + flip(1 - abs(1-real(z)-imag(z) ) ) fn1(abs(z))<p1 ;SOURCE: fractint.frm } Roger Alexander _________________________________________________________________ Game on: Challenge friends to great games on Messenger http://go.microsoft.com/?linkid=9734387

1 0