January 2013 - Fractint - mailman.xmission.com

FOTD 22-01-13 (Reiterated Numbers [8])
by Jim Muth 22 Jan '13

22 Jan '13

FOTD -- January 22, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's 8-rated image is based on the unlikely expression Z^11+(1.1*Z)+C. The expression seems innocent enough, but when it is iterated 800 times, it creates a parent fractal that appears as a distorted Mandelbrot set with its stem facing northeast and a star burst radiating from its East Valley, which lies on the southwest side of the main bay. Today's scene lies about halfway out the center ray of the starburst. The name "Reiterated Numbers" is a fitting description of today's image as well as almost all other fractals. The rating of an 8 might be a bit overdone. A 7-1/2 might be more accurate. The calculation time of 45 seconds will cause no one distress, especially after the interminable hours-long calculation time of yesterday's image. Make life easy. Dump the calculation wait. View the finished image at: <http://www.crosscanpuzzles.com/Archives.html> And view the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> plus the back images at: <http://www.Nahee.com/FOTD/> Conditions more typical of winter in central Pennsylvania arrived with a bang here at Fractal Central today, with an inch (2cm) of snow on the ground, a sky filled with wind-torn clouds, and a high temperature of a bone-chilling 16F -9C. The fractal cat survived the day by the heat; the humans simply survived. The next FOTD will be posted when the time is right. (The most likely time is 24 hours from now.) Until whenever, take care, and I still say we should pass a law to stop this climate change. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Reiterated_Numbers { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.1254246947312831/-0.038926514109924/\ 1.570419e+012/1/12.5/0 params=1/11/1.1/1/0/0/0/0 maxiter=800 inside=0 logmap=82 periodicity=6 mathtolerance=0.05/1 colors=00003B04C05D06E07F08G0\ 9H0AI3BK5CM7DO8FQBPVDV`F`zzzzukmzaUzJKoBAk8Ag5Ae3A\ c7LX0W`VbdWcgXckYdoZec_i0`mHSgYJanAXlDBiMLfUVcac`i\ mYlvXhoWXhVQaV_VUjOToHSzASz4Wz8_zCbzGfzJibNmZRpWUD\ uQLpWSk`_fefajj_hnZfqYdzebxoasUboScjQdfOeaMfYKgUJh\ WFcXC_Y8WZ5S_2OZ5MZ8LYBKYEJYHIXKHXNGXQFPctQeoQgkRi\ fRkbXgfacif_mkWppSsqQjqObqMVqKNvRdzXu_iU9u3X_cUbbS\ eaPhaNk`Kn`Iq_FtZcMZZNSUPK`BQS19dMb`OZXQVSSROUNKWJ\ FYFfMbdNZbOW`QSZROXSLVTHTVDQaf6sggMeeOddPcbRcaSb_U\ aZV`XX`WY_U_ZT`YRbYQcXOeWMgVfLcdM`aNY_OVXPTVQQSRNQ\ RKOSHLTFJUCGV9EW6BX3dNb_Q_VSXQVULXRG_OXdZLyRgOafSX\ eVTdZOcaKbeFahB_l6hNehQehTehVehYeg`djJelGfnDgpAhr7\ ijTXmaNojDrs3gNefQeeTedVecYeb`eabe_eeZheYjeXmeVRdT\ TZzzTzzNzzHzzIzzJzzKzzOzzRVzVRzYNz`IzdEzgAzjBzgCze\ DzzEzzEzzBzz9zz7zz5zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ tzzqzzozzlzzjzzgzzezzSzzEzzLzzSzzZzzdzzUzz`zzg } 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 21-01-13 (Underwater Scene [Rating 8])
by Jim Muth 22 Jan '13

22 Jan '13

FOTD -- January 21, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene on the east shore line of the north branch of Seahorse Valley of the Mandelbrot set. The scene is rather deep in the valley, requiring a maxiter of 1,500,000, which makes its calculation quite slow, in the range of several hours on older machines. On S.O.T.A. (state-of-the-art) units, with DOS capability, the calculation is much faster, more like 15 minutes, but there is still no denying that the image is a slow one. The individual viewer must decide if the result is worth the wait. I rated the image at an 8, mostly because it is a reasonably unfamiliar scene in the all-too-familiar Mandelbrot set. I named it "Underwater Scene" because it is located deep in the 'watery' Seahorse Valley. Those with slow computers can save a couple hours by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Those with S.O.T.A. units can still save several minutes. High-definition versions of recent images are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The thousands of back images and discussions may be seen at: <http://www.Nahee.com/FOTD/> Clouds, light snow and a temperature of 30F -1C made for a winterish scene today here at Fractal Central. The fractal cat spent much time by the heat, trying to persuade the humans to turn it up. The humans spent lunch time watching the inauguration ceremonies and the rest of the time keeping busy with the regular work. The next FOTD will be posted when the time is right. Until whenever, take care, and I noticed much less enthusiasm in today's ceremonies than I saw four years ago. Maybe people are disappointed. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Underwater_Scene { ; time=0:15:00.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-0.7499986559107\ 32/+0.002303751935777/1.1e+011/1/177.5/0 params=0/0 float=y maxiter=1500000 inside=0 logmap=120000 periodicity=6 passes=t mathtolerance=0.05/1 colors=000RlmRmlRnlPjjOfiMcgL_fJWdITcHPaFL`EIZCEYB\ AWA7VFCXJGZNK`RPbVTdZXfbagfeijikvypnnmrrovvqhb2jd7\ kfBmhGnjKplPqnTspXtravtewvjyxnF9CLGIRNNXUTb_Yhfbnm\ httmKDLZUXljgGnEKoHNpKQqNTrPWrSZsVatYeu_hvbkvenwhq\ xjtymwzpEzRbzdCqGPtQav_nxigCcqakLk2WoGesTpwe0_nrol\ usnxwptByvTvxit8ezMkx_pvZJfZJf`NgbQhdTifWjhZjjakld\ lmfmoinqlnsoopRSoNZnKeoLcoMbpNapN_qOZqPYrPWrQVsRUs\ RStSRtTQuUPuUNvVMvWLwWJwXIxYHxYFyZEy_Dy_CvVAsR9pM8\ mI6TNXg94eB6cD7bF9`HA_JCYLDXNFVOGTQISSJQXLPWMNYOM_\ PKaRIbSHdUFdVEhXCjYBl_9n`8ba7gd6`f6Th5Mj4El47n35d2\ 4W12M01D25C48B6CA7FA9J9BM8DQ7ET7GX6I_5Kc4Lf4Nj3Pm2\ Qp2Pj1Pd1PZ1PU1PO1PI1PD1QH0RL0SO0TS0UV0VZ0Va0Xd4Yf\ 7_hA`kEbmHcoKerOftRhvUixXjsYjnZkj_ke`kaalXblTclOdm\ KemFfmBgkDfjFfiHehIegKeeMddNdcPcbRcaSc`UbZWbYYaXZa\ W`aVb`Uc`Se_Rg_Qi_PmZOoZNqZPsXQuWSwVcyUczTczfcztcz\ sczrmzrmzqmzpmzpmzomznmzn } END PARAMETER FILE=========================================

1 0

FOTD 20-01-13 (Fire Tree [Rating ?])
by Jim Muth 21 Jan '13

21 Jan '13

FOTD -- January 20, 2013 (Rating ?) Fractal visionaries and enthusiasts: Fractal trees are nothing new in the FOTD series, but I have never posted a tree with such simplicity as is seen in today's image. The scene is a Julia set of the (-Z)^(1.618034)+C Julibrot. The corresponding Mandelbrot point lies where the X-axis meets the western edge of the main bud of the Mandeloid. The full Julia set resembles an 'infinity' symbol, a figure eight lying on its side, with an infinity of fractal trees along its edge. The tree in today's image is the largest one, which lies on the X-axis on the east edge of the figure eight. The simplicity was created by lowering the maxiter to 112. This cuts off the finer tree branches, leaving only the most basic tree shape. The name "Fire Tree" refers to the color of the tree. The calculation time of 15 seconds is due to the unusually small maxiter. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition renderings are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> A sunny day with a temperature of 46F +8C was spoiled by a blustery wind here at Fractal Central today. The fractal cat spent most of the time basking in the sun on his shelf, watching things blowing by in the wind. The humans took it easy most of the day. The next FOTD will be posted in a reasonable time. Until then, take care, and don't wait for a second coming. It isn't coming. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fire_Tree { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=0.2398/0/15/\ 0.922/90/0 params=90/0/90/0/-1.15/0/0/0/1.618034/0 float=y maxiter=112 inside=255 logmap=69 periodicity=6 colors=0000mzqNIqMFpMDpLAkK7lK5mzwnyvoxupwtqvsrurs\ tqtspsrirqbpqVopOnoHmlAki9jd8i_7hV6gQ5eK4dF3cA2b51\ a01`13_25Z37Y39X4BW5DW5FV6HU7JT8LS8NR9PQARQATYCPdD\ LkEHiiEkkFllFnnFooGqpGrrGtsHuuHwvHxwHwuLwtOvsRvrUu\ qXup_uoctnftmisllskosjrofnkbjg_gcWc_S_XPXUVYR_ZOd_\ Mi`JnaGsbExbJrdNmeRgfVbgZXhbSifNjdMgcLebKcaJ``IZZH\ XYGVXFSWEQVDOUDMXEK_EJbEIeEGhEFkEEgFGcFH`FIXGJTGKQ\ GLMHNJHOFHPBIQ8IR4IS1IT7ORCTQHZPMcORhNWnM`sLexK`rY\ WmjRhwPemOccNaULZKKXAJV1S`8`eFhkMqpTyuZtt`ptalsbhs\ cdrd_rfWqgSqhOpiKpjLkdLf_LaVLYQMTLMOGMJBMF6VR5cb4k\ m4ik8hiBggFfeIecMdaPc`TaZW`X__VbZTfYRiXPmWOpaNqfMq\ kMqpLruKrzKrwMltOfqQ`nSVlTPiVJfXDcZ7a_1bZ3cY5dY6eX\ 8eW9fWBgVChVEhUFiTHjTIkSKkSLgRNdROaRPZQRWQSTQTQPUM\ PWJPXGOYDOZAO`7Na4Nb1Nc3S_5WW7`S9dPBiLDmHFrDGvAIr9\ Kn9Mj8Og8Pc8R_7TW7VT6XP6YL6_H5aE5cA4e64f34d53c73b9\ 3aB3`D3_E3YG2XI2WK2VM20mz } frm:SliceJulibrot5 {; 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 18-01-13 (High-Order Hijinks [Rating 6])
by Jim Muth 18 Jan '13

18 Jan '13

FOTD -- January 18, 2013(Rating 7) Fractal visionaries and enthusiasts: Today's image is another 'almost' Julia set. The parent Julibrot was created by iterating the expression (-Z)^(1.618034)+C. The area of the image lies deep in the west branch of the valley enclosing the large bud on the northeast shore line of the main bay of the associated Mandeloid. The image very clearly illustrates the hairline spirals that lie in the Julia sets of the areas just inside Mandelbrot valleys. The name "Broken Julia Spirals" refers to the spirals on the top side of the grossly enlarged Mandelbrot valley fragment cutting diagonally across the inside of the open area in the image. These spirals are broken because of the limited resolution of the image, which causes many pixels to totally miss the very narrow body of the spirals and print it as an open area. This breakup can be eliminated by the process of anti-aliasing, which calculates the image at a higher resolution, slightly blurs the result then shrinks it down. Unfortunately, the process can be quite time consuming. The rating of a 7 is FOTD average. If such images had not been posted so frequently lately, I might have rated the scene as high as an 8. The calculation time of 7 minutes is a bit excessive. To save time, I recommend checking one of the FOTD web sites. The finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> A sample of what anti-aliasing can do for hairline spirals is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Today brought lots of sun to Fractal Central, but the temperature never rose above 30C -1C. The fractal cat basked in the sun all afternoon, having the best day so far this winter. The humans passed the very bright day getting organized. The next FOTD will not be posted before January 20, since I'm going back to Old Fractal Central tomorrow to finish a few things that need to be done. Until whenever, take care, and since everyone claims to do what is right, why does so much wrong exist in the world? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= BrokenJuliaSpirals { ; time=0:07:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 periodicity=6 center-mag=0.10596/0.159292/0.8912656/1/46.75/0 params=89.8/0/89.8/0/0.3125/0.5702/0/0/1.618034/0 float=y maxiter=5000 inside=0 logmap=yes colors=000B36701812923A33B34C44D55E66F66G77G87H98I\ 98JA9KBALCAMCBNDBOECNFBOECOECPECPEDQEDQEDREEREEREE\ SEFSEFTEGTEHUEISEJQGKOILMKMKMNIOOGQPFSQEURDWSCXTBY\ TCbWDgZElaGjcHieIggJfiLdkMcmNaoO`pSYkWWg_UccR_gPWk\ NSqKNoLOmMOlNOjOPiPPgQPfRPdSQcTQaUQ`VQZVRYWRWXRVYR\ TZSS_SQ`SPaSNbTMcTKdTJdTLcVNbWPaXR`ZT`_V_`XZbZYc`Y\ dbXfdWgfVhhUjjUklTlnSnpRorRptQrvPsxOtyOuwNsuNrsNpq\ NooNnmNlkNkiMigMheMgdMebMd`McZMaXL`VLZTLYRLXPLYNLZ\ LK_JK`HKaFKaDKbDKbDKbEKcGKdHKeIJeKIeLHeMIeOJePJeRK\ eSKeTLeVMeWMeXNeZNe_Ob`O``OeUViNamGhq9ou7rw2vyCtqM\ riVpadnUloHmmMnlQnjUoiYphapfeqeiphoqdmralrZjsWisSg\ tPfuMduJcvFavC`w9Zz4Xw6Yt7Yr9YoAYlBYjDYgEYdFYbHY_I\ YYJYZLWZMV_OT_PS`QR`SP`TOaUNaWLbXKbYJb_Hc`GcaFdcDd\ dCfd9deBbeCaeD_eEZfFXfGWfHUfITfJRgLPgMOgNMgOLhPJhQ\ IhRGhSGjSFhTFfTFeUFcUEbVE`VEZVEYWEWWDVXDTXDSYDQYDO\ YCNZCLZCK_CK`CKaCKbCKcCKc } frm:SliceJulibrot5 {; 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 17-01-13 (High-Order Hijinks [Rating 6])
by Jim Muth 17 Jan '13

17 Jan '13

FOTD -- January 17, 2013 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is one I found almost automatically in the brief periods of free time that somehow worked their way into an otherwise very busy day. The rating of a 6 might be considered a gift, since I can see little of note in the image. The image is a near-Julia scene in the easternmost East Valley of the Z^9+C Mandeloid. (The parent Mandeloid has eight East Valleys.) The name High-Order Hijinks" refers to the order-9 Julibrot as well as the orientation of the slice, which lies only 0.00003,0.00003 degrees from the true Julia orientation. The 'outside' parts of the image were colored by the 'imag' option, which adds somewhat more life than the flat straight 'iter' coloring. The calculation time of 7 minutes is more than the image is worth. I strongly recommend trying one of the FOTD web sites. Be free of calculation inefficiency! View the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> And enjoy the hi-def versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of back images are at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds with a temperature of 41F +5C made today bearable if not exactly pleasant here at Fractal Central. The fractal cat was more interested with the unwanted cats prowling about than with the weather. The humans had another average day -- pleasant to live through but boring to write about. The next FOTD will be posted within a reasonable time. Until whenever, take care, and always do good, but before doing it, be sure to find out exactly what defines good. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= High-Order_Hijinks { ; time=0:07:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 float=y center-mag=0.13128/0.748246/8.950949/1/-87.5/0 params=89.99997/0/89.99997/0/0.67545/0/0/0/9/0 maxiter=5000 inside=0 outside=imag periodicity=12 colors=000nZqmYplXokWnjWmiVlhUkgUjgTifSheSgdRfcQeb\ QdaPc`Ob`Na_N`ZM_YLZXLZWKYVJXUJWUIVTHUSHTRGSQFRPEQ\ OEPNDONCNMCMLBLKAKJAJI9IH8HG6FH8HH9IHAJICKIDLIEMIG\ NJHOJIPJJQJLRKMSKNTKPUKQVLRWLSXLUYMVZMW_MY`MZaN_bN\ acNbdNceOdfOfgOghOhiPjjPkkPllPmmQnjQnhRnfRodSoaSo_\ TpYTpWUpTUpRVqPVqNWqKWrIXrGXrEYsBYs9Zs7_u4Zs5Zr5Zq\ 6Zp6Zo7Zn7Zl7Zk8Zj8Zi9Zh9Zg9ZfAZdAZcBZbBZaBZ`CZ_CZ\ ZDZXDZWDZVEZUEZTFZSF`UBZRFYPIXNLWLOVJRUGUTEXSC_RAb\ Q8eQ1jP4iP6hP9hPBgPEfPGfPIeOLdONdOQcOScOUbOXaOZaNa\ `Nc_Ne_NhZNjYNmYNoXOqZNqXMqWLqVKqTJqSIqRHqPGqOFqNE\ qLDqKCsIDqJDpJDoJDnJDmJElJEkJEjKEiKEhKFgKFfKFdKFcK\ FbKFaLG`LG_LGZLGYLGXLHWLHVMHUMHTMHRMHQMIPMIOMINMIM\ NILNJKNJJNJINJHNJGNKDOJENJFNJFMJGMJGLJHLJILIIKIJKI\ JJIKJIKIILIIMIIMHHNHHNGHOGHPGHPFHQFHQEHREGRDGSDGTD\ GTCGUCGUBGVBHUCGVBGWBGWBGXBGYBGYAGZAF_AF_AQKKJFANH\ FQJJTLNWNSZPWaR_dTdgVhjXl } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 16-01-13 (The Unseen World [No Rating])
by Jim Muth 17 Jan '13

17 Jan '13

FOTD -- January 16, 2013 (No Rating) Fractal visionaries and enthusiasts: Today's image is an almost-Julia set of the East Valley of the large minibrot on the northern main spike of the Mandeloid that results when the expression (-Z)^(2.5)+C is iterated. The reddish stuff inside the large open hole is grossly enlarged Mandelbrot stuff. The outer bluish stuff is Julia in nature. I enjoy 'almost' Julia images because they are much more varied. In pure Julia images, every small hole is basically identical, while in the 'almost' images, no two holes are the same. The name "The Unseen World" does not refer to the supposed abode of spirits. It describes the high-iteration Mandelbrot stuff that lies hidden beneath the low-iteration surface Julia stuff. I gave the image no rating, but if I were to rate it, I would have chosen something like 6-1/2. When the calculation begins, it looks like the image will be finished in less than a minute, but things slow down considerably once the central open area is reached, and the calculation will drag on for about 5 minutes. Save energy! Save time! View the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and see the high-definition versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> About 4-1/2 inches (12cm) of sloppy snow fell overnight here at Fractal Central, making for a very unpleasant day with heavy clouds. The temperature of 34F +2C melted just enough snow to fill the gutters with water and make dry feet impossible. The fractal cat, who always keeps his feet dry, had an active day of tearing up old newspapers. The humans had an average day. The next FOTD *will* be posted. The best bet is to look for it in 24 hours. Until whenever, take care, and why is the massacre of 26 people killed together by a single gun more outrageous than 1000 killed one-at-a-time by cheap hand guns every month? Would someone please explain the current politically correct way of thinking. I'm a little befuddled by it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Unseen_World { ; time=0:05:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=t periodicity=12 center-mag=0.202471/-0.225264/56/1/-57.5/0 float=y params=89.898/0/89.898/45.5/-1.422159233/0.2244159\ 71/0/0/2.5/0 maxiter=32767 inside=0 logmap=8 colors=00000H00L10O20S30V40Z50a60e71h82l93oA4sB5vC\ 6wD7wF8wHAwJBwLDwNEwPGxRIxTJxWLxYMx_OxaPxcRyeTygUy\ iWykXymZyo_ymYxkWwjVvhTufSteQscPraNq`LpZKoXInWHmUF\ lTElVGkWIjXKiYMiZOh_Qg`SfaUfcWedYde_dfacgbbhdaifaj\ h`ljamhbkfciddgbee`fcZgaXg_XgZXg_Yg_Zg__g__g_`g_ag\ _bg`cg`dg`eg`fg`gf`hf`ifajfajfakfalfamfanfaofbpfbq\ fbrfbsfbtfbufhyebufYqfSmgNigHegCah6Yh0Vi1Uh2Th3Tg4\ Sg5Rf6Rf7Qe7Qe8Pe9OdApdBccCNcDMbDLbELbFKaGbaHQ`II`\ JI_JH_KQ_LKZMFZNFYOEYPIXQDXQCXRCWSBWTAVUAVV9UW9UW8\ UX7TY7TZ6S_6S`5Ra4Ra4Rb3Qc3Qd2Pe1Pf1Og0Og1Oh2Ph3Qh\ 4Rh5Rh6Si7Ti8Ti9UiAViBViCWjDXjEYjFYjGZjH_kI_kJ`kKa\ kLakMbkNclOdlPdlQelRflSfmTgmUhmVhmWmmXmmYmmZmm_mm`\ mramrbmrcmrcmrcmrcmrcmrcmrcmrcmwczwczwczwczwczwczw\ czwczwczwczwczwczwczwczwczwczwczwczwczwczwczwczwcz\ wczwczwczwczxczyczzczzczzczzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } frm:SliceJulibrot5 {; 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 15-01-13 (Strangely Familiar [No Rating])
by Jim Muth 16 Jan '13

16 Jan '13

FOTD -- January 15, 2013 (No Rating) Fractal visionaries and enthusiasts: I began the day with a question -- when a three-dimensional left hand glove is viewed from the fourth dimension, does it appear as a left or a right hand glove? A few minutes pondering convinced me that the question is meaningless. In 4-D space both left and right hand 3-D gloves are the same shape. They simply lie in different positions. Now on to the important topic -- the fractal for today. Today's image has something strangely familiar about it. In fact, this is the name I gave it. The familiarity arises because the image is actually a view of the familiar Seahorse Valley of the Mandelbrot set. The unfamiliarity exists because in today's image the valley is viewed in the Oblate orientation, centered at the point -0.6 on the imag(z) axis. The scenes of this particular orientation bear no resemblance to either the Mandelbrot or the Julia aspects of the valley. Seahorse Valley is actually a thing with four spatial dimensions, which means it has six mutually perpendicular planes cutting through it, each of which can be translated in an infinity of perpendicular directions. With such a familiar object as the source of the image, I could give it no rating. The calculation time of 5 minutes is longer than I would have preferred, but the new view of an old object that will result will make the effort worthwhile. Those who do not calculate may view the finished image on the web sites. Avoid calculation by viewing the completed image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And check the hi-def versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Don't forget the back images at: <http://www.Nahee.com/FOTD/> Thickening clouds and a temperature of 36F +2C made today less than ideal here at Fractal Central. The forecast of ice and snow later tonight and tomorrow makes the future look even less ideal. The fractal cat passed the day in the front window, watching the world go by and in the back window, watching the stray cats go by. The native humans spent the day watching the work go by. The next FOTD will be posted when the appropriate time has passed. Until whenever, take care, and let's give our congress a kick in the butt. Tell them to pass a law requiring that all our silly disagreements be solved. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strangely_Familiar { ; time=0:05:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 maxiter=27000 center-mag=0/0/7.466019/1/-36.75/0 params=0/0/90/0\ /-0.75/0/0/-0.6/2/0 float=y maxiter=27000 inside=0 logmap=-13 periodicity=0 colors=000enldmmclmbkmajn`im_hmZglYfkXekWdjVcjUbiS\ aiQ`hO_gMZgKYfIWfGVeEUdCSdARc9Qc8Pb7Na5Ma5L`4J`4I_\ 3H_3GZ3EY3DY2CX2AX29W28V17V15U14U13T12T23U24U25U26\ U37U38U39U3AU3BU4CU4DU4EV4FV5GV5HV5IV5JV5KV6LV6MV6\ NV6OV4OU6PV7QV9RWARWCSWDTXFTXGUYHVYJVYKWZMXZNX_PY_\ QZ_SZ`T_`U`aW`aXaaZbb_bbaccbdccdcaca`b_ZaYY`WW_UUZ\ SSYUQZRO_NM_OK_PJ_PK_QK_QL_RN_SP_TQ_US_UU`VV`WX`XZ\ `Y_`Za`_c``d`af`biaag`bf`be`bc`bb`ba`b``bZ`bZ`cZ`c\ Z`cZ`cZadWbeRckMipInuKotMptNqtPqtRrtSstUttVtt_nkci\ cgdWlZOpUGtP8pS9mV9jYAg`AdcAafBZiBWkBTlDUkEVjGWiHX\ hJYgKZfG_eC`d8ac4bbIcaNd`Re_WfZ_fYdfXhfZl`YfWXaRWX\ MVSHUNCTI7SD8YJ9bPAgVBl`CqfEpXFpOGlSHiWHf_IccJ`gJY\ kKVoKSsNZnQdjSjfVpbXvZYsXYpVZnTZkSZhQ_fO_cM_cLYcQW\ cVVc_TccSchQcmPcqTcmXcj`cgdcdzcazcZzcXzcUzcSzcOzcK\ zcHzcLzcPzcTzcXzc`zcdzchzc1zz2zz2zz2zz3zz3zz3zz3zz\ DzzGzzIzzLzzNzzQzzSzzOzzK } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 14-01-13 (The Manifestation [7.5])
by Jim Muth 14 Jan '13

14 Jan '13

FOTD -- January 14, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: In yesterday's FOTD, I remarked that calculating the image with the inside set to 'bof61' would work wonders with those solid black areas. In today's FOTD, I go ahead and calculate the image with the inside set to 'bof61', which shows the resulting insanity. I reused the same color palette to make comparison easier. Today's image is still about half 'inside' stuff, but the inside and outside parts blend togehter so smoothly that it is virtually impossible to tell the inside from the outside. The rating of a 7-1/2 is 1/2 point higher than yesterday's. The newly-visible inside stuff adds the additional half-point to the rating. The name "The Manifestation" is a comment about the previously invisible inside stuff being made visible. The big drawback in the image is its slowness. The image takes a full 13-1/2 minutes to calculate. Thankfully, the web sites can eliminate the task of calculation. Save notable time by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Spice things up by checking the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the back images at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds and a temperature of 50F 10C made today quite pleasant for a midwinter day here at Fractal Central. The fractal cat enjoyed the sun for a while but soon grew annoyed at the way it kept coming and going. The fractal humans had another back-to-work Monday. The next FOTD will be posted when a nominal amount of time has passed. Until we find out how much time is considered nominal, take care, and I see many popular solutions of non-existent problems, but where are the solutions to the real problems? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Manifestation { ; time=0:13:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.3922690253119078/-0.9833762241149269\ /3570608/1/-165/0 params=1/3/0.6/5/0/0/0/0 float=y maxiter=1750 inside=bof61 logmap=168 periodicity=0 colors=000ttaspcrpeqogpoionknnmmmolmqklsjluhktgjtf\ itehsdgscfsbfs`er_drZdrYcqXeqWeqVijZfiakaelUfmMknE\ hnFenGblG_hHXfIUbIR`JPXKMVKJRLGOMDLMAKN7FO5HO6EQ6G\ R6HS7IU7KV7LW7NX8OZ8Q_8R`9Tb9Uc9Wd9XeDZfG_gJ`gMahP\ biSciVdjZekafkdglghmjimmjnpkookkrklqkipkgpkdokbnk_\ njYmjVljTljQkjOjjLjjJffIbbH__GWWFSSEPPELLDHHCEEBAA\ A77A67A66956956967AIYD9bD0gD4dE7bEB`FEZFIWGLUGPSHS\ QHWNHZLIbJIeHJiEJlCKpAKs8Kn7Ni7Pe6R`6TW5VS5XN5_I4a\ E4c93e43g03i22j32k42l62m72n82nA1oB1pC1qE1rF1sG1sHF\ hISYJdNJqCMpGOoKQoOSnSUnWWm_Zlc`lgbkkdkofjshjvigti\ driaqiZoiWnjTljQjjNijKgjHfgJedLeaNdZPdWRdTTcQVcOXc\ LZbI`bFbaCda9fa6h`3j`1k`2lc3me3ng4oj5pl5qn6rq7ss7s\ u8nv8iv8ew9`w9Ww9Sx9NxAIxAEyA9yA5yIIzQUzYfzerzbtz`\ uzYvzWwzTxzRyzUrzckzmeztZzzSzzMzzFzz9zzAzzAzzAzzBz\ zBzzBzzCzzCzzCzzDzzDzzDzzDzzFzzGzzHzzIzzJzzKzzLzzM\ zzNzzOzzPzzQzzRzzSzzTzzTz } 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 13-01-13 (Hidden Ghost Brots [7])
by Jim Muth 13 Jan '13

13 Jan '13

FOTD -- January 13, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Hidden Ghost Brots". It is probably the first image in FOTD history where the objects that inspired the name do not actually appear in the image. The 'Ghost 'Brots' lie in the black 'inside' areas. When the image is rendered with the inside set to 'bof61', these open areas fill with detail filled in turn with well-defined minibrots. Try it and see. It's kind of hard to rate things that do not appear in an image, so I could give the image a rating no higher than a 7. The calculation time of 2-1/2 minutes is right on the mark. For maximum convenience, the image has been pre-calculated and posted in finished form to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High-definition renderings are available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back catalog of images is online at: <http://www.Nahee.com/FOTD/> Today dawned damp and foggy here at Fractal Central, and stayed that way most all day. The temperature of 48F +9C was well above normal, but with so much dampness in the air, it still felt chilly. The fractal cat had his eye on the outside conditions that kept even the neighborhood stray cats in hiding. The humans had a do-nothing day, spending more time than usual in front of the fractal TV. The next FOTD will be posted in the right cosmic time. Until then, take care, and solve the country's problems with your head, not your heart. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hidden_Ghost_Brots { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=+0.3922690253119078/-0.9833762241149269\ /3570608/1/-165/0 params=1/3/0.6/5/0/0/0/0 float=y maxiter=1750 inside=0 logmap=168 periodicity=6 colors=000tqaspcrpeqogpoionknnmmmolmqklsjluhktgjtf\ itehsdgscfsbfs`er_drZcrYbqXaqW`qV`qZdiahaelUhpMktE\ hqFenGbkG_hHXeIUbIR_JPXKMUKJRLGOMDLMAIN7FO5CO6EQ6F\ R6HS7IU7KV7LW7NX8OZ8Q_8R`9Tb9Uc9Wd9XeDZfG_gJ`gMahP\ biSciVdjZekafkdglghmjimmjnpkoslorklqkipkgpkdokbnk_\ njYmjVljTljQkjOjjLjjJffIbbH__GWWFSSEPPELLDHHCEEBAA\ A77A67A66956956967AIYD9bD0gD4dE7bEB`FEZFIWGLUGPSHS\ QHWNHZLIbJIeHJiEJlCKpAKs8Kn7Ni7Pe6R`6TW5VS5XN5_I4a\ E4c93e43g03i22j32k42l62m72n82nA1oB1pC1qE1rF1sG1sHF\ hISYJdNJqCMpGOoKQoOSnSUnWWm_Zlc`lgbkkdkofjshjvigti\ driaqiZoiWnjTljQjjNijKgjHfgJedLeaNdZPdWRdTTcQVcOXc\ LZbI`bFbaCda9fa6h`3j`1k`2lc3me3ng4oj5pl5qn6rq7ss7s\ u8nv8iv8ew9`w9Ww9Sx9NxAIxAEyA9yA5yIIzQUzYfzerzbtz`\ uzYvzWwzTxzRyzUrzckzmeztZzzSzzMzzFzz9zzAzzAzzAzzBz\ zBzzBzzCzzCzzCzzDzzDzzDzzDzzFzzGzzHzzIzzJzzKzzLzzM\ zzNzzOzzPzzQzzRzzSzzTzzTz } 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 11-01-13 (Iterative Challenge [6])
by Jim Muth 11 Jan '13

11 Jan '13

FOTD -- January 11, 2013 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows one of the infinity of things that happen when 0.3 parts of Z^5 are combined with Z^3. The resulting parent fractal appears as a vertically stacked north-south chain of Mandel-like bays with a 'main bay' on the southern end of the chain. The bays grow larger and more distorted the farther north they lie, until at the limit, little Mandel stuff at all remains. Today's scene lies in one of four similar valleys about halfway up the chain. The name "Iterative Challenge" has little to do with the image. I invented the name when, after an hour of futile searching, I had found nothing better than today's image, which rates only a mediocre 6. The calculation time of 4 minutes is more time than the image deserves. But it's still worth a quick glance, especially on one of the FOTD web sites, where the need to calculate it is eliminated. Enjoy the image, already calculated, on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> Clouds and rain defined today here at Fractal Central. The saving feature was the temperature of 43F +6C, which was notably above average. The fractal cat passed the day lounging by the heat; the humans finished the work on time and then took it easy. The next FOTD will be posted soon. Until whenever, take care, and feel sorry for those fortunate enough to have heavy media coverage of their misfortune. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= IterativeChallenge { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.065078360615/-1.793874546443/2774529\ /1/-80/0 params=1/3/0.3/5/0/0/0/0 float=y maxiter=2200 inside=0 logmap=257 periodicity=6 colors=000A5KA5KA5JA5IA5G95E85C75A6585564543622701\ 80090CKABUG9cNKmNUtNczNmzMzvLmrKcnJ`kIYhHWeGZbFb_E\ eXDiUCmRBpOAtL9wI8mKAcLCUMELNGMWHNcIOlJOtKNqNNnPNk\ SNhUNeWNbZM_`MXcMUeMRgMOjMLlMInNHkNGiNGgNFdNFbNE`O\ DYODWOCUOCROBPOBNMAVK9bI8jKCkLFkNIkOLkPOkRRkSUkTXk\ V_kWbkYekZhk_lkankbpkaokZmiXigUdeQ_ZNWSKPLHJFEFDBC\ F89I56K76I96GB6EC6HE6KG6NH6QJ6UL6SM6QO6OQ6MR6KT6IV\ 6GW6FV8EVADVBDVDCVECVGBVHAVJAVK9VM9VN8VP7VQ7VS6VT6\ UU7TV8SW9SXARYBQYCQZDP_EO`FOaGNaHMbIMcJLdKKeLKeLJc\ MIbMH`NG_NFYOEXODWOCUPBTPARQ9QQ8OR7NR7MR9KUAJXCHZD\ GaFFdGDfICiJAkL9nT8zb6ze5z`4zV9zT8`V7QWBEXK3YL4ZM5\ _N6`O6aP7bV8cW9dX9eTAfZBg_Cg`ChaCjaBkbBmcBncAodAqi\ 9re9se9rdAqdApcAocAnbAnbAmbAmaAlaAmTjmTnmUqmSnmRlm\ PjmKhmIfmGdmEbmC`mAYmAWmAUmASzAUzAUzAUzAUzAczAczAc\ zAczAmzAmzKmzKmzKzzUzzUzzUzzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

1 0