August 2008 - Fractint - mailman.xmission.com

FOTD 11-08-08 (Theater of the Mind [7.5])
by Jim Muth 11 Aug '08

11 Aug '08

FOTD -- August 11, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: As I studied today's image, I fancied myself sitting in the balcony of a celestial movie theater, viewing the fractal show being projected on the screen. I named the image "Theater of the Mind" because that's exactly what it is. The rating of a 7.5 might have been a point higher if I had not used variations of this same rectangle so often in previous FOTD's. The brilliant rectangle in the center is nothing other than a variation of our old friend the rectangle that lies in a Julia set of the East Valley area of the large fractured minibrot on the infinitely divided mail spike of the Z^(2.003)+C Mandeloid. In today's variation the minute value entered into the imag(p5) parameter has shrunk the rectangle almost to the point of invisi- bility. The slightest increase in this parameter will make the rectangle go away totally. The calculation time of 1-1/3 minutes should cause the average fractalist little if any inconvenience. The exceptional fractalist may wish to take the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image there. With lots of sun and a temperature of 81F 27C, Sunday was pleasant enough here at Fractal Central -- until 6pm that is, when the clouds started gathering. No rain ever fell, but thunder rumbled ominously in the north for an hour. The fractal cats ignored the weather and concentrated instead on a fly in the kitchen window. The fly eventually disappeared. My day was uneventful, which is acceptable. The next FOTD will be posted in 24 hours. Until then, take care, and unlike everything else, fractals are forever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Theater_Of_TheMind { ; time=0:01:21.79-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=-0.00001033139728697/+0.002511651686093\ /860217 params=90/0/90/0/-1.7435/0/0.00019/0.073\ 88/2.003/0.0003385 float=y maxiter=3500 inside=255 logmap=136 periodicity=10 colors=000EJMILNNNOSQQXTUaWYmdftiongjj`cdUW_NOUHGE\ 2DJ7BOBATG9hF6mK9mPBmUDmZFmcHmkImhJmfKmdLmbMmcNmhO\ mcPcVQcTRcRScPTcNUcLVcJWcIacHXcHScHOmHJgHEsG5mHAgI\ FaJKWKPQLUONTKMYHMbEMgBMl6Ds7Ir8Mq9Qp9UoAZnBbmCflC\ jlmOufSp`WlU_hOccHg_BkW2mU5nS7oR9pPBqODrNFsLHtKJuI\ LvHNvGLrLJnPIkUGgYEcbD`fBXkAUoBVnCVnDVmEVmEVlFVlGV\ kHWkIWjJWjJWiKWiLWhMXhNXgOXgOXfPXfe`YQXeRYezmdzmdz\ mczmczmbzmbzmazmazm`zm`zm_zm_zmZzmZzmYzmYdzXezX9zz\ BzzCzzDzzEzzFzzGzzHzzIzzJzzKzzLzzMzzNzzOzNPzNQzORz\ PSzPTzQUzQVzRWzSXzSYzTZzT_zU`zVazVbzWzzWzzzzzFzzzz\ zGzzzzzHzzzzzHzzzzzIzzzzzIzzzzzJzzzzzJzzzzzKzzzzzL\ zzzzzLzzzzzMzzzzzMzzzzzNzzzzzNzzzgzOgzzfzPfzzfzPfz\ zfzQfzzfzQfzzfzRfzzfzRfzzfzSfzzzzTzzzzzTzzzzzUzzzz\ zUzzzzzVzzzzzVzzzzzWzzzzzXzzzezXTzzUzXUzzUzXUzzVzX\ VzzVzXVzzWzXWzzWzXWzzWzXXzzXzXXzzXzXYzzYzXYzzYzXYz\ zZzXZzzZzXZzz_zX_zz_zX_zz } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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FOTD 10-08-08 (Where Trees Come From [No Rating])
by Jim Muth 10 Aug '08

10 Aug '08

FOTD -- August 10, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image is one I found automatically. I named it "Where Trees Come From" because with only a slight change of parameters, I could turn the Julia image into one of those fractal trees. But today we have no trees. We have a surreal something, vaguely resembling a slavic helmet, better seen than described. There is no way I could honestly rate such a quickie image, so I let it go unrated. The calculation time of just under 9 minutes is longer than I would have preferred. But give Paul a chance to calculate and post the image, then rush to the FOTD web site to enjoy it. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With full sun and a temperature of 79F 26C, Saturday was the picture of perfection here in the Fractal Central area. The fractal cats must have agreed, for in the late evening when we returned from the day out, we found three waste baskets over- turned and the contents scattered -- a sure sign of bored and discontented cats. With little harm done, I managed a FOTD, though a bit too late to post on time. However, the next FOTD will be posted on time in 6 hours or so. Until then, take care, and fractals are the spirits of numbers, or are numbers the spirits of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WhereTreesComeFrom { ; time=0:08:53.54-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=dividejulibrot passes=1 center-mag=45.1158/0/0.1140451/1/90/0 params=90/0/90/0/-105.58135/0/0/0/1.5/100 float=y maxiter=3000 inside=bof61 periodicity=10 colors=000JYCIVCHTBGQAGO9FL9EI8DG7CD6B74CB6DF8EJAE\ MCFQEGUFHYHH`JIdLJhNJkOKmQKnSLpULqXMsZMt`NvbNwdMtg\ LqjKnlJloIirHftGcwGayFbwFbvEcuEcsDdrDdqDdoCenCemBf\ kBfjAgiAggAgf9he9hc8ib8ia8i`PU_eF_u0_t2`s4ar6bq7cq\ 9dpBeoCfnEgnGhmHilJjkLkkMklQmlUnlYolapmermismmtmpu\ korjnphmmglkfkhdjfcicbha`ib_icZidYjeXjeVjfUkgTkhSk\ hRkiQljOlkNlkMmlLmmKmnJmnIkkIjiHigHheHgbGf`GeZGdXF\ cUFbS8nsAmtBmtCmtDltEltGltHktIktJktKktMjtNjtOjtPit\ QitSitThtUhtVhtWht_arbWqeQjgLdjGYlASo5Lq0Fp2Hp4Io6\ Jo8KnALnCMmEOmGPmIQlKRlMSkOTkQUjSWjUXiWYiYZi__ha`h\ cagecggdfiefkfemgeohftjeqidnhckgcigbfface``e`Zd_Wc\ ZTcYQbYOaXLaWI`VF_VD_UAZT7YT5YU6XV6XV6XW6XW6XX6XY6\ XY6WZ6WZ6W_6W`7W`7Wa7Wa7Vb7Vc7Vc7Vd7Vd7Ve7Ve7VWmXV\ kYUiZUhZTf_Se_Sc`Rb`Q`aQ_aPYbOWcOXcNTdMSdMQeLUeKNf\ JVzKMfLZdLSbMzzMY_NdjNcWzzzPiSPoRQoPzzNRuLSvLRwKfz\ JPrIOoIOmHNsGMgFLeFKbEK`D } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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FOTD 09-08-08 (Honest Square Deal [7])
by Jim Muth 08 Aug '08

08 Aug '08

FOTD -- August 09, 2008 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image is a Julia set that closely resembles the one in which the curious rectangle is found. In today's image I searched the place where the rectangle is found in the other Julia set. I found no open rectangle, though I did find an interesting rectangular shaped area quite deep at the same place in today's parent Julia set. OK, I admit I got out the evolver and fudged the real(p3) parameter a bit, and I also made a few tweaks to yesterday's color palette, but it's all in the name of good art. Even though the main feature of the image is a rectangle, I named it "Honest Square Deal". I gave it this name because no one ever heard of a rectangular deal. When the time came to assign the rating, I thought briefly and absent-mindedly before rating the image at a 7. A rating of a 7 is like the word 'nice'. It sounds pleasant but means nothing. The one place where the image really does excel is in its calcu- lation time, which at just over one minute will make the job of running the included parameter file as pleasant as a day at one's favorite get-away spot. Those whose over-qualified computers have an incurable case of fractintphobia may see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday was pleasant enough here at Fractal Central. There was lots of sunshine and a temperature of 75F 24C, and if the sudden but brief midday thunder-shower was ignored, the day was ideal for any outdoor activity. The fractal cats had a rough day however. This morning FL took Cassie to the doctor for a shot, and when Nicholas, the macho one who fears only the doctor, saw the carrying box come out, he dashed under the bed, where he hid for several hours. All went well with Cassie, who normally is the timid one, but faced the doctor heroically. My day was moderately busy, as I got the work out of the way in preparation for a planned day out on Saturday. If the FOTD for August 10 is late, it will indicate that the day out was a success. Until next time, take care, and a fractal a day will keep the doctor away, at least until you run out of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Honest_Square_Deal { ; time=1:04:11.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=+0.0175331707901178/+1.624411711936185/\ 7.144491e+007/1/-90/0 params=90/0/90/0/-43.7613069\ 8158602/0/0/0/2.5/25 float=y maxiter=975 inside=255 logmap=108 periodicity=10 colors=000aFXeHXhJYlL`nNerPjuRnwRzyXzu_zqVvnSmjQgg\ OccMU`K5aL4bN4bQ4cT3cW3dZ3da3fc2ge2ih2ml2up1ztczzm\ zvcvq2rn2mg2hg3cm3Zr3Uu3Pu8KrDFlIHgNIbRJXTJSQJUNKR\ LKOKKKJLOHLMGLJFMIDMHCMGBNF9NE8ND7NC6QAAS9Dz8Hz7Kz\ 6Nz5Rz4Uz3Yv2`r1cm0gm0jz0nz0qz0tz0so3sk6sh9sdDs`Gs\ YJsUMrQPrMTrJWrFZrBar8dr9asA_tBXuCVuDSuEQuFNuGLuHI\ uIGuJDuKBuL8uM6uN3uN1uN6uNBuNGuNLuNQuNVuNZuLXuKVuI\ TuHRuGPuENuDLuCKuJIuPGuVFu`DufBulAuf9u`9uW8uQ8uK7u\ F7u96u46u55u55u64u64u73u73u72u82u81u91u90u90uA2uB3\ uB4uC5uD6uD7uE8uF9uFAuGBuHCuHDuKOuMZuPiuRsuNjuJauF\ UuBLu8DuE4uJ0uQ3uXAubHuiOuoUumRukOuiMugJueGucEuaBu\ _8uY6uW3uU0uT0u2duRpuPkuNguMcuK_uJVuHRuGNuEJuDEuBA\ uA6u82u70u7Su7uuIjuT`ucQunGugEu`CuWhuVhuOcuH_uAWu4\ Su5Tu6Tu7Tu8Uu9UuAUuAUuDSuFRuHPuJOuLNuSPuYRucSuiUu\ _2uU21U31U44U57U6AV7DW8HX9KYANUBQWCTYDX_E_aFbbGecH\ hcHkeIifIhhJgiJfjKelKcmLb } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] AOTD
by JackOfTradeZ＠comcast.net 08 Aug '08

08 Aug '08

. Animation of Jim Muth FOTD 8/4/08 "hex-quad" is posted: http://www.fractal-animation.net/vid/nukleus.zip 640x480, WMV, 31 Meg, 2 min 10 sec runtime. Cute. . JoTz .

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FOTD 08-08-08 (Railyard Symphony [8])
by Jim Muth 07 Aug '08

07 Aug '08

FOTD -- August 08, 2008 (Rating 8) Fractal visionaries and enthusiasts: There can be no debate about the correct format of today's date. Any way one arranges the numbers, it's correct. And in honor of the occasion, as if it needed honoring, we have a fractal. Today's fractal combines elements of Z^2+C and Z^2.5+C, and ends up looking quite like an oversized version of a Julia set of the Z^2.003 Mandeloid. In fact, today's scene is a Julia set of the East Valley of the large minibrot on the main spike of its corr- esponding Mandeloid. It closely resembles one of the Julia sets of the same area of the Z^2.003 Mandeloid, the Julia set that holds the curious rectangle where I occasionally return in search of a FOTD. I have not yet found any rectangles in today's Julia set however, but then I have hardly started to search. I named today's image "Railyard Symphony" because the tangle of filaments reminds me of the well-known (at least to rail buffs) Enola Railyards, about 65 miles down the river from F.C. I rated the image at an 8, leaving it to the individual fractalist to decide whether it's worth this rating. One thing that can not be exceeded is the brevity of the calcu- lation time, which at a faster-than-light 19 seconds, actually threatens to go backward in time. Those who would rather avoid the risk of becoming a child again, may find the image, already calculated, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near perfect day here at Fractal Central was compromised by a brief but heavy thunder-shower in the afternoon, which dropped the temperature from an already pleasant 81F 27C to an almost chilly 68F 20C. The fractal cats ignored the weather and spent most of the day playing hide-and-seek in the nooks and crannies of the bookshelves in the long hallway of FC. My day was pleasant enough, and with any luck at all, tomorrow will be the same. The next FOTD is due to be posted in 24 hours. Condidering the regularity of the FOTD postings, I feel it will appear on schedule. Until then, take care, walk lightly and carry a big fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Railyard_Symphony { ; time=0:00:19.01-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=0/0/0.3133196/1/-90/ params=90/0/90/0/-43.762/0/0/0/2.5/25 float=y maxiter=1500 inside=0 periodicity=10 colors=000U71U81U94UA7UBAVCDWDHXEKYFNUGQWHTYIX_J_a\ KbbLecMhcMkeNifNhhOgiOfjPelPcmQbnQapR`qR_sSYtSXuTW\ wTVxUUyUTuTPqTMnTIjTFgTBcT8`T5aV4bX4bZ4c`3cb3dd3df\ 3eh2ej2gm2kp2ps1vv1zy1vv1pp2ej2Xc2OY3JT3EP39M3BK8D\ SDFWIHfNIjRJiPJbOJ`NKZLKXKKVJLTHLRGLOFMNDMMCMLBNK9\ NJ8NI7NH6QFASEDzDHzCKzBNzARz9Uz8Yv7`r6cm5gm4jz3nz2\ qz1tz5so8skBshEsdIs`LsYOsURrQUrMYrJ`rFcrBfr8ir9fsA\ dtBauC_uDXuEVuFSuGQuHNuILuJIuKGuLDuMBuN8uN6uNBuNGu\ NLuNQuNVuN_uNcuLauK_uIYuHWuGUuESuDQuCPuJNuPLuVKu`I\ ufGulFufEu`EuWDuQDuKCuFCu9Bu4Bu5Au5Au69u69u78u78u7\ 7u87u86u96u95u95uA7uB8uB9uCAuDBuDCuEDuFEuFFuGGuHHu\ HIuKTuMcuPnuRxuNouJfuFZuBQu8IuE9uJ1uQ8uXFubMuiTuoZ\ umWukTuiRugOueLucJuaGu_DuYBuW8uU5uT3u2iuRuuPpuNluM\ huKduJ_uHWuGSuEOuDJuBFuABu87u73u7Xu7zuIouTeucVunLu\ gJu`HuWmuVmuOhuHduA`u4Xu5Yu6Yu7Yu8Zu9ZuAZuAZuDXuFW\ uHUuJTuLSuSUuYWucXuiZu_7u } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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FOTD 07-08-08 (Phantom Sunrise [7])
by Jim Muth 06 Aug '08

06 Aug '08

FOTD -- August 07, 2008 (Rating 7) Fractal visionaries and enthusiasts: There is something about perfection that annoys me, so when I took another look at the FOTD for August 4, which is as close to perfection as the FOTD comes, I felt a twinge of annoyance. I felt that I must do something to spoil that image, which rates a lofty 9.5. To wreak my havoc, I rotated the view about 0.25 degree from the Julia orientation. This tiny rotation totally changes the image. Instead of circular perfection, we now have something that more closely resembles an alien sun rising above an alien horizon. I named the image "Phantom Sunrise". The change in orientation does not improve the original image, indeed, despite using virtually the same color palette, the rotation drops the rating from a 9.5 to a 7. Today's image is therefore more a mathematical curiosity than a work of fractal art. Thankfully, the image calculates in a blinding fast 25 seconds, so little time will have been wasted if the result is found disappointing. And never forget that the finished image is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Only two degrees kept the weather from being perfect here at Fractal Central on Wednesday. Even though the humidity was lower, the high temperature of 88F 31C was just a bit too warm for the spoiled fractal cats, who spent the day stretched under the cool air vent. Much of my day was spent meditating on the fourth dimension and the meaning of fractals. The next FOTD will be posted in 24 hours. Until then, take care, and follow in the footsteps of the great fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Phantom_Sunrise { ; time=0:00:25.02-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=0/0/0.891266/1/-90/0 params=90.01/0/90.24/0/-17.4231/0/0/0/16/10 float=y maxiter=1600 logmap=11 periodicity=10 sound=off colors=000SIKTHJUGKVEKWCKXAKaCQfEXkGcpIjuKqiJnzzkz\ zzzzmzy0zt0zm0yh0xc0wZ0uU4sK8pEAnCAkBAgAAb9AZAAUAA\ QBAOBCMCKLCPMKULPZKWaJbaIjdHthKumMurPxzRzzTzzXlz_`\ zdZqO_UNYTMWSLURKSQJQPJOOMZJWbFcfBci8mn4mu1zzCVXNb\ NYjDhlCbnBYoASq9Ns8Ht7CrAGpDKnFOmISkLWiN_gQcfSggcd\ hnaiyZhydgyjXqbMiWBaO0VH8TEFRCNQ9UO7`M4hL2oJ0vI0uJ\ 6uKFtLOtMWnbfhrqikojemjZkkTjlMhlGfm9dm3ch9YcESZKMV\ PGFcnJXnNRnRLnVFnZ9nY7cX5TW3JV18V00Y70`E1bK2TGHKDV\ BAhUsnNq`GoO9mA3l0LZ9bMLs9WtGRuMMuSHvYCvc7liMbo`Ut\ o_X4cR7gLAkFDoAGrMKuXNxhRzsUzzMzzEzz6zz0zz0cm1ar2`\ v3_z4WwCTtJQqRNnYKke4SV3PS2MP1KN4GV7Db8Ea8Ea9F`9F`\ AF_AG_BGZBGZ65h8Be9GbAL_BQYCWVD`SEePFjNPeLY`KgWJpS\ IeYEWbALg6Bl3FkAJjGNiMRhSVgYZfcbeifeo`hpWjqRlrLosG\ qtBsu8cf5OT29F3MI4ZK4kMDkRLkVUkZakbjkfrkjricrgXreQ\ rdKrbDr`6r_0jS4cL8XECQ7GJ0KNBGQMCUW9Xf5_p2XmCVjLSg\ UQdbObkTfiXihalgeofFZ6GR4 } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] FotD_08-08-04
by JackOfTradeZ＠comcast.net 06 Aug '08

06 Aug '08

. FotD_08-08-04 Hexidecimal Quad Totally Freakin' Awesome! (lemme see what I can do with it ...) Also - this grabbed me: ""Until then, take care, and change the change that never changes"" Great idea! How 'bout Libertarian or Constitution instead of demopublican <--> republicrat ad-infinitum ? lets have some REAL 'change we can believe in' instead of the same-old-same-old ? nahhhh ... never happen stay amazed JoTz .

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FOTD 06-08-08 (Julia to the Center [5.5])
by Jim Muth 06 Aug '08

06 Aug '08

FOTD -- August 06, 2008 (Rating 5.5) Fractal visionaries and enthusiasts: Today's quickie fractal will cause no one pain. At the same time it will set no new records for a fractal rating. The image is the center part of its parent fractal, which is a Julia set of the Mandeloid that results when Z^2 is divided by ((Z^6)+0.6). The Mandeloid is still dominated by Z^8 elements, though even with only 0.6 added, the western bay is already growing larger. Today's Julia image corresponds to the northern branch of the valley setting off this enlarging bay. A quick glance will reveal that the image is far too busy, with too many clashing colors vying for attention. It really doesn't deserve even the lowly rating of a 5.5 that I gave it. The strange imag(p3) parameter was found at random by the evolver feature of Fractint. The value is extremely critical. The name "Julia to the Center" indicates that the image is the center of a Julia set. The calculation time of 1-1/2 minutes will get the task of running the parameter file out of the way in a hurry. The joy of visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image posted there can hardly be surpassed. ;-) The perfect weather fled fast on Tuesday here at Fractal Central, where grey skies and sprinkles of rain made no one happy. It was also very humid, making the temperature of 84F 29C feel quite oppressive. The fractal cats spent most of the day contemplating fractals, while I spent most of the day contemplating and then actually doing work. The next FOTD will appear from nowhere almost by magic in 24 hours. Until then, take care, and watch for the relief. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_To_TheCenter { ; time=0:01:31.58-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=0/0/4.464286/1/32.5/0 periodicity=0 params=90/90/90/90/-0.8682316/0.06717689238662033/\ 0/0/8/0.6 float=y maxiter=750 inside=255 logmap=-24 colors=00000X00Y00Z00_00`00a00b00c00d00e00f00g00h0\ 0h00g00e00c00b00a00`00_00Z00Yd9zf9zgBziCzkEzlEznGz\ pHzqJzsJztKzvMzxOzyMzxOzvPztPxsRvqRtpTqnTplVnkWkiW\ igYgfYdd_cc_ac`Za`X`bVZdSXdQVePUeLSgKQgGPhFNhDLjAK\ k8Ik6Im3Gm1Fo0Do0Bp0Ap08r06t04t03u01u00w00w00y00y0\ 0w00w01w03u03u04u06u08t0At0At0Br0Dr0Fr0Gr0Gp0Ip0Kp\ 0Lp0Lo0No0Po0Qm0Sm0Sm0Um0Vk0Xk0Zk0Zj0`j0aj0cj0ch0d\ h0fh0gh0ig0ig0kg0le1ne1pe1pe3qd3sd4td4sg3td4tb6v`8\ wYAuWBsVDqRFpPGoOGnKImJKmHLmGNmCPmBQm9Sm6Um4Um2Um0\ Um0Um0Uz0Um0Uz0Um0Uz0Um0Uz0Um0Uz0Um0Um0Uz0Um0Uz0Um\ 0Uz0Um0Ux0Um0Uv0Um0Uzt0s_Daz0`t0zk0Xe0XY0VP0UJ0t4N\ s7QzVNpGXnJ`lMckzfiVigYlf`pddqZ_iSVaLPUFKL8GD1C6F9\ GQ6Qc2`n0iz0sz0zz0vz0sy0pt0lq0il0fg0cd0``0XX0US0QN\ 0NK0KF0GtRD60A106003000000001404B48IBBQHGXOKcVNi`Q\ pgUlbUiYUgVUdPUaKU`HUXCUV9US4UP0UN0UK0UI0UF0UB0UA0\ U60U40UB0XI0`N0aU0dZ0gd0i } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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FOTD 05-08-08 (A Strange Seahorse [7.5])
by Jim Muth 05 Aug '08

05 Aug '08

FOTD -- August 05, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: Yesterday's image showed a very unusual East-Valley type Julia set. Today's shows an interesting Seahorse-Valley type Julia set. The parent fractal came about when I divided Z^2 by (Z^(10)+2.5) before adding C. This parent fractal only vaguely resembles the familiar Mandelbrot set. It has a Seahorse Valley that is almost impossible to find, but I must have come pretty close, because today's image certainly has Seahorse-Valley Julia characteristics. It also has lots of Z^12 characteristics, which are visible all through the image as a series of circular features with 12 sections each. Unfortunately, with its rating of 7.5, today's image falls short of yesterday's. But it is still worth a look, especially with a calculation time of only 29 seconds. The name "A Strange Seahorse" pretty well describes the image. As always, the already-calculated GIF image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> for instant, fully hedonistic ecstasy. The weather continued absolutely perfect here at Fractal Central on Monday. With the work light, FL and I took a couple hours off in the afternoon for a 3-mile walk along a nearby hillside trail. The temperature of 82F 28C made walking as enjoyable as it gets. When we returned, the fractal cats scolded us for the unaccustomed absence. The next FOTD will be posted in 24 hours. Until then, take care, and change the change that never changes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Strange_Seahorse { ; time=0:00:29.25-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=0/0/0.4014516/1/-30/0 periodicity=10 params=90/90/90/90/-1.98955/0.67403096/0/0/12/2.5 float=y maxiter=600 inside=0 logmap=3 colors=000ZZccchhhmmmrrrwvvzxyzwwzwtvwqrwomwnhwmfw\ mdwlbwk`wjZwjYrfVmbSi_QdWN`SKWPISLFNIDJEAEA7A75532\ 100LtheM3hL4kL4mK5pK5sJ6uJ6xI7zI7xNCwSHvWMt`RseWri\ `icb`ZddWagU_kSYnPWrNUuLSxJQvIWtIasIggFeXCdM9cOBXQ\ DQSFJTGDVIBWK9XM8YN6ZP4_R3`T1aU0`wGPqQEl_3giA_aHSV\ OLOVDH`6AWB8SG7OL6KP5GU4CZ38b26_94XG2VN6ZL9aJCeIFh\ GIkFMiYQrzSkmSdcS_WSTSSNBSJ6SF2JO8BXD6XqB`rFcsKftO\ juTmvXpvXouWntWmsVlrUkqUjpTioThnSgmRflRekQdjQdiPch\ ObgOaf101N`eN_cMZbLYaLX`KW_KVZJUYITXISWHRVHRUGQTGP\ SFORGF_HGZHIYIKXIMWJOVJQUKSTKTTMYUObVPfWRkXSoYTkVT\ hTUeRUbPV_NVXLWUJWRHWNFXKDXHBYE9YB7Z85Z53Z21T42O53\ I63D74884AC7CF9EJCFMEJNIMNLPNPSNSVNVYNZ`NacNefNhiN\ klNooNrrNunTpjZlfdgcjchWhmHmz2r`ClLMfmWKDeJbk1W_Dg\ KPr5`s4Xt4Tu3Pv3Lw2Hx2Dy19y15M0YO4_P7aQAbSEdTHeUKg\ VNhXRjYUkZXm__nacpbfqcisdltaiqZgnWelTciRagO_dLYbIW\ _FUXDSVAQS7OQ4MN2KLBQRJVW } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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FOTD 04-08-08 (Hexidecimal Quad [9.5])
by Jim Muth 03 Aug '08

03 Aug '08

FOTD -- August 04, 2008 (Rating 9.5) Fractal visionaries and enthusiasts: I'm starting to discover the potential of the DivideJulibrot formula. Today's image is a Julia-set of East Valley of the large minibrot on the main stem of its parent fractal. This parent fractal came about when I divided Z^2 by (Z^(16)+10). On the surface it resembles an oversized Mandelbrot set, while deep inside it takes on Z^16 characteristics. The image is a splendid blending of quadratic East Valley elements with the more circular Z^16 elements. It rates a full 9.5, 1/2 point of which is due to my marginally expert coloring efforts. I named the image "Hexidecimal Quad" in recognition of the mixture of elements of two different orders. The calculation time of a superluminal, (which is possible in the world of fractals), 23 seconds, will make running the included parameter file a pleasure. An equal pleasure may be experienced by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image is posted for instant ecstasy. The Sunday weather here at Fractal Central was so good that the digital thermometer read 'comfort' from sunrise to sunset. Lots of sun, low humidity and a temperature of 82F 28C in the middle of the dog days must be considered near perfection. The fractal cats were more interested in a squirrel that was in the yard all morning, gathering nesting material. I did little but take it easy most of the day, though far busier days are in sight. The next FOTD will be posted in 24 hours. Until then, take care, and forget philosophy for a day -- a lack of philosophical pondering leads to less wisdom but more peace of mind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hexidecimal_Quad { ; time=0:00:23.00-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=0/0/0.891266\ /1/-90/0 params=90/90/90/90/-17.4231/0/0/0/16/10 float=y maxiter=1600 logmap=11 periodicity=10 colors=000FA2HA0LA0OA5S8CXAJaCQfEXkGcpIjuKqiJnYJkN\ JhKYLHk0Fd0DZ0BT09N08H0zh4zc8zECmCJcBOUAQK9QJAPKAK\ LBKMBKNCMOCSMKULRZKYaJeaIldHthKvmMurPxzRzzTzzXlz_`\ zdZqO_UNYTMWSLURKSQJQPJOOMZJWbFcfBci8mn4mu1zzCVXNb\ NYjDhlCbnBYoASq9Ns8Ht7CrAGpDKnFOmISkLWiN_gQcfSggcd\ hnaiyZhydgyjXqbMiWBaO0VH8TEFRCNQ9UO7`M4hL2oJ0vI0uJ\ 6uKFtLOtMWnbfhrqikojemjZkkTjlMhlGfm9dm3ch9YcESZKMV\ PGFcnJXnNRnRLnVFnZ9nY7cX5TW3JV18V00Y70`E1bK2TGHKDV\ BAhUsnNq`GoO9mA3l0LZ9bMLs9WtGRuMMuSHvYCvc7liMbo`Ut\ o_X4cR7gLAkFDoAGrMKuXNxhRzsUzzMzzEzz6zz0zz0cm1ar2`\ v3_z4WwCTtJQqRNnYKke4SV3PS2MP1KN4GV7Db8Ea8Ea9F`9F`\ AF_AG_BGZBGZ65h8Be9GbAL_BQYCWVD`SEePFjNPeLY`KgWJpS\ IeYEWbALg6Bl3FkAJjGNiMRhSVgYZfcbeifeo`hpWjqRlrLosG\ qtBsu8cf5OT29F3MI4ZK4kMDkRLkVUkZakbjkfrkjricrgXreQ\ rdKrbDr`6r_0jS4cL8XECQ7GJ0KNBGQMCUW9Xf5_p2XmCVjLSg\ UQdbObkTfiXihalgeofFZ6GR4 } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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