November 2008 - Fractint - mailman.xmission.com

FOTD 01-12-08 (Julia Surprise [9.5])
by Jim Muth 30 Nov '08

30 Nov '08

FOTD -- December 01, 2008 (Rating 9.5) Fractal visionaries and enthusiasts: I sometimes receive e-mails asking how I find the fractals I post in the FOTD. I wish the question were not so difficult to answer. In a recent posting to the Fractint List, Mike actually had it right when he said I must have developed an intuition for fractals, and the ease with which I find them causes me to under- rate them. When searching for fractals, I simply get a feeling that a particular set of parameters or a particular spot in a certain parent fractal will yield something worth the effort. And as often as not I am right. Even more surprising, at least to me, is the fact that I some- times have little idea of the connection of the math to the shape of the fractal. This is quite the case in the images I make with formulas like the HyperMandelbrot2, where I can see no connection at all between the infinitesimal parameters I enter and the images that appear on the screen. When I was considering today's image, I had an instinctive feeling that the Julia aspect of yesterday's image might hold something interesting. As today's FOTD shows, I was right. The unexpected result, which is due entirely to the coloring, is quite striking, even though it hardly looks like a fractal. I named the image "Julia Surprise". After all, that's what it was to me. The rating of a 9-1/2 is exceptionally high. It includes 1/2 point for my serendipitous coloring, but still leaves room for improvement. The coloring took less effort than one would expect. Actually, I colored the image with a single strike of the <enter> key and one ot two register tweaks. The image is a ghostly one. It is not evaporated, since it started with nothing to be evaporated. Regardless, the 'bof60' inside fill once again worked its magic on a blank screen, and today's image is the result. The other inside fills work with much less success, with the 'bof61' being the best of the lot. I think the 'bof60' fill colors the bands according to how close the trapped points come to the origin in their limited wanderings, while the 'bof61' fill colors the bands according to which iteration brings the points closest to the origin. Perhaps the best feature of today's image is its faster-than- light calculation time of 8 swift seconds. This speed will give no one reason for impatience. But those with over-qualified machines that panic and freeze when booted with a DOS program will still need to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday began with sleet here at Fractal Central, but by noon the sleet had changed to a cold rain that, together with a temperature of 34F +1C, made the day quite unpleasant. The fractal cats divided their time between searching for the warmest places they could find, chasing each other up and down the 40-foot (12-meter)-long hallway, and asking for food. My day was spent doing little of value. (Except for the fractal fun.) The next FOTD will be posted in 24 hours. Until then, take care, and when things go wrong, shift the aspect of your attitude from the Mandelbrot to the Julia. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Surprise { ; time=0:00:08.09-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia float=y symmetry=xaxis center-mag=0/0/0.1435945 params=-3/1.5/-0.987/0 maxiter=1500 inside=bof60 logmap=yes periodicity=10 colors=000zzzvvvrrrmmmhhhcccZZZUUUKKK000znUvlTrjTm\ hShfSeeR`dR_cQZbQXaQW`PV_PUZOTYOSWNRVNQVNOUMNSMMRL\ LQLKOKJNKIMJHLJFKJEJIDIICHHBGHAF0000L3gJ5dH7`F8WDA\ RBBN9DJx5zw6vv6ru7mt7hs7cr8Zq8Up8Uo9Un9Um9UlAUkAUj\ AUiBUhBUOASNCQLCPJCOHDMFDLDDKBEI9EH8th8rg8qf8oe8nd\ 8lc8kb8ia8h`8g_8eZ8dY8bX8aW8_V8ZU8YT8WS8VR8TQ8SP8Q\ O8PN8OM8ML8LK8JJ8II8GH8FG9GR8FQ8FQ8FP8FP8FO8FO8FN8\ FN8FM8FMW4fX4fZ4e_4e`4da5db5cc5ce5cf5bg6bh6ai6aj6`\ l6`m7_n7_o7Zp7Zq7ZpCYoGYoKYnPXnTXmXXlaWleWkiWknVjr\ VjvVmoaohgrantVtvPzsQwqQuoQsmRqkRoiRmgSkeSicSgaTe_\ TcYTaVU_TUYRUWPVUNVSLVQJWOHWMFWKDXIBXG9XE7XCCVFHTI\ MRLRPOWOQ`MTeKWjIZoGatFcuHcuJcuLcuNcvOcvQcvScvUcwV\ cwXcwZcw`cxacxccxecxgcxhcuiasj`qjZnkYllXjlVhmUenTc\ nRaoQ_oPXpNVqMTqKQrJOsIMsGKtFHuEFuCDvBBvAEuCGtEItF\ LsHNsIPrKRrLUqNWqOYpQ`oSboTdnVfnWimYkmZml`olalj_jh\ ZhfYfeXdcWaaV__UYZTWXS9EH } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 30-11-08 (Something From Nothing [7.5])
by Jim Muth 30 Nov '08

30 Nov '08

FOTD -- November 30, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is named "Something From Nothing". The name came about when I began with a blank screen of trapped inside stuff -- nothing -- and applied the 'bof60' inside fill to change the nothing into something -- today's image. As for a theme -- forget it. Anything and everything appears in the image. I see quadratic elements, cubic elements, as well as some things that defy classification. Actually, the 'nothing' in today's image rates a 7.5 -- not too bad a rating for a screen full of nothing. The colors appear a bit too light and pale to my eye, which is the reason the image rates no higher. The calculation time of 3-2/3 minutes should cause no one to feel impatience. And even the possibility of impatience may be eliminated by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning sun and afternoon clouds with a temperature of 45F 7C made the fractal cats happy, but otherwise left little to comment on here at Fractal Central on Saturday. My day was equally uneventful. The next FOTD is due in 24 hours. Look for it at this same spot on the internet. Until then, take care, and be one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SomethinFromNothin { ; time= 0:03:38.86-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 float=y center-mag=-1.01132/0/5.754019/1/90/0 params=-3/1.5 maxiter=1500 inside=bof60 logmap=yes periodicity=10 colors=000tzzqzwoztkzqkynkxkkwhkvektbir_hpXfnUelSc\ jRbhP`gO_eMZdLXbKW`IUZHTXFRVEQTDORBNQAMP9OQ8QR8SS8\ UU8WV8YX8ZZ8`_8ba8dc8fe8hf8ih8kj8nk8qm8tn8xp8ys2vq\ 8poElmLhkQeiWagaYedUceQafM`gN_hOZiPZjQYkRYlSXmTXmU\ WmVVpWVoXUpYUqZTr_Ts`StaSubRvcQwdQxePyfPz00U00U00U\ 00U00U00U00U00U00U00U00U00U00U00U00U00U00U00UUcYBd\ GCaHDZIFVKGQLIMNJIOLDRKEPKEOKFNJFLJGKJGJJGILFLNENP\ DPRCRTBTVAVX9XZ8_`7ab6cd5ef4gh3ii2kh4jh5jg6jg7jg8j\ fAjfBjfCjeDjeEjdGjdHidIicJicKicMibNibOiaPiaQiaRibT\ ibVicXicYjd_jdajecjedjffkghkgjkhkkhmkioliqljrljtlk\ vllxmlummrmmolnklnhkoekoajpZjpWiqTiqPhrMhrJgsFgsCf\ t9fu5eu5du6cu6bt7at8`t8Zs9Ys9XsAWrBVrBUrCSrCRqDQqE\ PqEOpFNpFLpGKoHJoHIoIHnJFnKGnLInNKoOMoQNoRPpTRpUTp\ WUqXWqZYq__raara_q`Yq`Wp_Uo_SoZQnZOmYMmYKlXIlXGkWE\ jWCjVAiV8hU6hU4gT2fS0cU3`W6XY9U_DRaGNcJKeMHgQDiTAk\ W6m_7m_8m`9maAmbBmcCmdDme } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 29-11-08 (The Mystic Twelve [8])
by Jim Muth 28 Nov '08

28 Nov '08

FOTD -- November 29, 2008 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "The Mystic Twelve". The name does not refer to the twelve apostles but to the 12-part symmetry of the features surrounding the very obvious order-12 minibrot at the center. As is always the case with Mandeloids, the number of lobes in the minibrot itself is one less that the exponent of Z. In this case, eleven. But this in no way detracts from the significance of the number 12 in the image. Actually many things in our everyday world are based on the mystical number 12. The number of signs of the zodiac, the number donuts in a dozen, the number of months in the year, the number of apostles, the number of piano keys in an octave, and the number of people on a jury are just a few. And if you think the number 12 is mystical, just open the bible and check the number of times the number 40 appears. (It must be the Deity's favorite number, as well as the number of thieves.) On its surface, the parent fractal of today's image is a huge Mandelbrot set. But as today's image shows, in its depths, it is entirely different. Today's scene is located on a short filament extending from a small radical on the northern shore line of the large minibrot on the main spike of the parent. With its rather moody coloring, today's image rates an 8. Once the image starts to appear, the calculation time of 6-1/4 minutes should seem to pass in a flash. But to avoid a 'flash in the pan' the finished image is posted for immediate viewing and enjoyment on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The intermittent sun here at Fractal Central on Friday kept the fractal cats guessing, while the temperature of 45F 7C made the shopping rush bearable. My day was busy enough to keep away thoughts of poverty, yet slow enough to allow time to relax. The next in the seemingly endless series of FOTD fractal images will be posted in 24 hours. Until then, take care, and make your fractals look alive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Mystic_Twelve { ; time=0:06:14.04-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-175.3115666712\ 27/+1.321886950465596/1.838955e+011/ params=12/100 float=y maxiter=5000 inside=0 logmap=889 periodicity=10 mathtolerance=0.05/1 colors=000A28A2AA2CA2EA2GA2IA2KA2MA7OACQAHSALUBQYC\ VdDZkDclKhrUlzcuzmzzczvUwrJtmMqhPocSmZVkXYiV`gTbeV\ ccXcbZcaYc`Xc_WcZVcYUcXUcWUcVUeVUgVUiVUkVWiSYgQ_eO\ acMc_KZWIUSGPOEKKCFHACKD9MGCPJFRLJUOMWRPZUS`WWcZZe\ aahddjfhmikolnqnqressXutOwuFygCmU9aG6Q24EKFaaQxZOt\ WMpUKlRIhPGeMEaJCYHAUE8QC7NJLUQZ_XlecykZvgUtdQq`Lo\ YHlUCjR8hOB_gESzCTtATn9Ti7Uc6UZ4UT3UO7XQB_SFaTJdVN\ gXRiYVl_Zn`VkbRhcNfdJceFafBZg7XhDVaJTVOSOUQH_OAdN3\ hQ9lTFoVLsYRv_XtXTrVQpTMnRJlOFjMChK8fI5KlEJjCIiBHg\ AGf8Fd7Ec6E`8EY9EVAESBEPCENDEKEEHFEEGEBHE9IdC4eF9e\ HDeJHeLLeNQePUeRYeTaeVeeXjeZne`rebvedzdfudgqdildjh\ dlcdm_doVdpRiqQmqQilSfgUbbW_YYXU_gXVr_QByqItdPoSVk\ FPYTJKeD7rMJoVVmcfjlqhmdkYJf00PRM`nTnpabziSzqGzy5z\ tDzpLzkTzg`zh0z7PzW_zsizIDzRMzZVzfcznkzsOcx0mz4mzB\ mzHmzNmzTmzXmz_nzcqzftzbwzZzzVzzWzzWzzWzzOzzGzzEzz\ DzzCzz_zzwzzXzz7zzyzzZzzH } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 26-11-08 (Where is the Minibrot? [No Rating])
by Jim Muth 28 Nov '08

28 Nov '08

FOTD -- November 26, 2008 (No Rating) Fractal visionaries and enthusiasts: An exceptionally busy day could not keep down today's FOTD, though it did cut short the discussion. The image is a scene in the East Valley of the large minibrot on the main spike of the HyperMandelbrot set. I named it "Where is the Minibrot?" because the minibrot that should be at he center is nowhere in sight. I could not give a rating to an image that I put almost no effort into, so I let it go unrated. The calculation time of 8 minutes is longer that I would have liked, but still well within reason. Even more reason may be found at the FOTD web site, where the completed image is posted for instant gratification. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lack of sun and a chilly temperature of 41F 5C kept the fractal cats in a bad mood on Tuesday here at Fractal Central. My bad mood was caused by the graphic work, which was even heavier than expected. The heavy work will continue tomorrow, so I cannot guarantee that there will be a FOTD, but the odds are in favor of it appearing. Until next time, take care, and walk with the angles in heaven. They are all right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Where_is_the_Mini? { ; time=0:08:10.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-1.749893677210895/-0.0000129789285012/\ 2.887599e+010/1/-40/0 params=0/0/0/0/0.1/0/1e-045/0 maxiter=9200 inside=0 outside=summ periodicity=0 colors=000GGXEFYDEYBDYABZ8AZ79Z58_47_44`36_37_38_3\ 9Z3BZ3CZ3DY2EY2GY2HX2IX2JX2LW2MW1NW1OV1QV1RV1SU1TU\ 1VU0WU0XX0Y_0_b0`e0ah0bk0an0`q0_t0Zs0Ys0Xs0Wr0Vq0W\ p4Xo5Yn5_m6`l7al8ck9dj9fiAghBhgCjfDkeGkgEkfDkeCjdB\ hdAfc9db7d`8bb8`c9Zd9YeAWfAUgAShBRiBPjCNkCLlDKmDIn\ DGoEEpEDqFBrF9sF8tH9qJAnLBlMBiOCgQDdSDbTE_VFYXFVZG\ S_HQaINcILeJIfKGhKDjLBlM8lK4mM6mO7mP8mR9mSAmUCmVDm\ XEmYFn_GnaInbJndKneLngMnhNnjPnkQomRooSopTorVosWouX\ ovYoxZqzZoy_ny`mxalxbjwciwchvdgveeufdugcuhbth`ti_s\ jZskYrlWrmVqmUqnTqoRppQpqPorOorMnsLntKmuJmvEqyGowI\ mvJltLjsMhrOgpQeoRcmTblU`kWZiYYhZWf`UeaVgbWicXkdYm\ eZoe_qe`seasease`se`se`sf_tf_tfZtfZtfZtfYtfYtgXugX\ ugWugWugWugVugVuhUvhUvhUvhTvhTvhSvhSvgRyhSwhSvhTth\ TshUrhUphVohVmhWlhWkhXihXhhYghYehZdhZbh_ah_`h`Zh`Y\ haWhaVhbUhbShcRhcQfaRe`Rc_SbZS`YS_WTYVTXUTVTUUSUTR\ URPVQOVONVNMWLLWKKWIIXHHX } 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=========================================

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FOTD 28-11-08 (Overstuffed Cubic [No Rating])
by Jim Muth 28 Nov '08

28 Nov '08

FOTD -- November 28, 2008 (No Rating) Fractal visionaries and enthusiasts: Due to too much feast and food activity on the Thanksgiving holiday here at Fractal Central, today's FOTD must go without the usual discussion. But it's still an interesting image of a cubic minibrot, well worth the 2-1/2 minutes required to run the included parameter file. The image may be seen without being bothered by a parameter file by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it in finished form there. I gave no rating to the image. The reason for the name "Overstuffed Cubic" is obvious. Morning clouds gave way to afternoon sun on Thursday, much to the pleasure of the fractal cats. But I was too busy feasting to notice. The next FOTD will be posted in 24 hours. Until then, take care, and a skeptic once told me that fractals are not real, but merely images in the brain. Hmmmm.... I wonder if any fractals would show up on the screen if they scanned my brain. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Overstuffed_Cubic { ; time=0:02:31.17-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=+0.6218176846270137/-0.003812180759794/\ 1.59654e+009/1/-42.5/0 params=3/1.5 float=y maxiter=1500 inside=0 logmap=278 periodicity=10 colors=000MKeOKhQKjSKmVKoVKqXKv_KzaKzcKzeKzeIzeFzj\ DzmDzoMzqXzshzvszxzzzzzzzzzzzzzqzzcozSSzFSWcFXt9Ys\ 5Zr0_q0`p0ao0bn1cm5dk9eiDfgIgeMicKk`ImYFoVFqSDtPDw\ MBzIBzD9z99z57z17z07z0Fz0Ow0Xq0eh0oa0mX0mS0cR0`K0M\ K1DM74MF0OM0OS0Q_0Qe0V_0_V0aO1eK7jDFm9Mq4Vv0cx0jz0\ sz0zz0zu0zo0zi0zc0zZ0zU0zP0zK0zF0zA0z54z07z0Bz0Fz0\ Kz0Mz0Sv0Xq0cm4hhBmc7oa5q_1qX0sV0sX0v_0va0xc0xe0zh\ 0zj0zm0zo0zq0zs0zv0zx0zz0zz0zz9xzKxzVxzexzqxzzsvzq\ mzzczzVzzMzzDzz5zz1zz0zz0zz0zq0ze0zV0zM0vF0q70m10h\ 00e00c00c00a00a00_01_07X0BX0IV0MV1SS4XS4MV1DX05_00\ a00c00e00h00j00m70oF0oO0qX0sh1vq5vz9xzDzzFzzSvzcqz\ qozzjzzhzzczz_zzVzzSsvOmsKeoIamDVe9Oe7Ia4B_05X01_0\ 4_04_05a05a07a07c09c09c0Be0Be0De0Dm5IqBKxIMzOOzVQz\ aSzhVzoXzv_zzazzSzzKzzDzzszzhszXezMSzIOzVKzeFzsBzz\ 1zz0zz4zz0zzhzmQzq9zv0zzzz0oz0OzK0zeQzzDzz1zz0zzzz\ z0z00zSzzvXzzzzQzzaXzj4zs } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 27-11-08 (Outward Bound [No Rating])
by Jim Muth 26 Nov '08

26 Nov '08

FOTD -- November 27, 2008 (No Rating) Fractal visionaries and enthusiasts: Due to a holiday work rush, today's image is a near repeat, simply a small outzoom and slight perturbation of yesterday's. I gave it no rating, though I did name it "Outward Bound". The image is a scene in the 4-D hypercomplex Mandelbrot set. There is really very little I can say about the image, since I know very little about it. It's still total mystery how such infinitesimal changes in parameters can make such great changes in the image. The calculation time of 7 minutes is reasonable. Going to the FOTD web site and viewing the finished image there is even more reasonable. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds and a temperature of 37F 3C made tha fractal cats unhappy here at Fractal Central on Wednesday. Lots of work and too little time made me unhappy. The next FOTD is due in 24 hours. Wait for it with bated but not abated breath. Until then, take care, and see you around the fractal town. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Outward_Bound { ; time=0:07:14.47-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-1.749893677213578/-0.0000129789280232/\ 1.078439e+010/1/-90/0 params=2.5e-005/0/0/0/0.1/0/\ 1e-045/0 maxiter=9200 inside=0 outside=summ periodicity=0 colors=000eV`gX_jZZkVQl`Ymfdnllquwnrslppjnmhkjfifd\ gcbd``bYY`UWYRUWOSULQRHOPEMNBMM9KL8JL7HL7GL6EL5DK5\ BK4AK38K37K26K2DNBJQKQTTWWabZjh`scXlZTeUPZPLSKHLFD\ E684A97DAAGADJBFMBIQCLTDNWDQZETI4CaEVwQptOmqNjnLgk\ KehIbeH_cFY`EVYCSVBPS9NP8KM6HU3DK5F78BA7GD6KG6OJ5T\ M4XP4`S3dV2iY2m`1qb1u_3rX4oU5lR7iO8gL9dIBaFCZCDWAE\ UBFWBFXBFZBF_CFaCFbCFdCFeAClCFfEIaGLWIORKRLMUGNXBL\ YCJZCHZCG_DE_DC`DAaE9aE7bE5bF3cF2cFHSNVGVe6`h5ak4b\ n3cq3ct2dw1ey1ev3dt5cr7cp9bmBbkDaiF`gH`dJ_bL_`NZZP\ ZVNVSLSPJPMHMJFIGDFDBCA99412786AEADLEGRIJYMFpZLcPR\ RGXE7_DBaDFcDJeCMgCQjCUlBXnB`pBdrBgpEfnHelKdjMdhPc\ fSbdVabXa`_`Zb_XeZVgZTjYRmXLrTPoXTl_Xib`feddihallZ\ opWrsUufcqVmmIylJvjKthLrfMpdNnbOl`PjZQhXRfVSdTTbRU\ `PVZNTYMWXLYWL_VLaUKcTKfSKhRKjQJlPJnOJqNJsMIuLIwKI\ yJIrIMlIPfHS`HVVHZPGaJGdDGgPQZ`ZRlgJxpBvmEukHtiKsg\ NrePqcSpaVnZYVMeYPc`RbbTa } 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=========================================

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FOTD 25-11-08 (Mandelbrot Mystery [7.25])
by Jim Muth 25 Nov '08

25 Nov '08

FOTD -- November 25, 2008 (Rating 7.25) Fractal visionaries and enthusiasts: I named today's FOTD image "Mandelbrot Mystery" because I'm not sure if it's a real fractal or some kind of artifact. But whatever it is, the image lies in the Seahorse Valley area of its parent fractal, which is a Mandelbrot set with lots of extra detail around the edges of the main bay and buds. The ridiculous real(p4) parameter of 10^(-45) seems far too small to produce such a change in a normal Seahorse Valley scene, but maybe that's the way the four-dimensional Hyper- complex Mandelbrot set is actually shaped. Changing this parameter to zero reduces the image to the expected Mandelbrot scene. Much of the coloring effect was achieved by rendering the scene with the outside set to 'summ', though the normal 'iter' setting gives almost as good a result. The rating of a 7-1/4 includes 1/4 point for the 5 minutes extra coloring time I put into the image. And the calculation time of under 2 minutes is quite nominal. As always, the finished image is posted for instant ecstasy on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Increasing clouds in the morning led to a cloudy afternoon and a cold evening rain here at Fractal Central on Monday, with a cold temperature of 37F 3C. The fractal cats were most disappointed with the lack of sun and got into a tussle when Cassie would not give up her spot on the scratching post by the warm radiator. After the spat, the duo sulked at each other for a half hour. My day was quite busy, and from the look of things tomorrow will be the same. But the next FOTD will be posted in 24 hours regardless. Until then, take care, and solve the Mandel-Mystery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Mystery { ; time=0:02:50.00-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=hypermandelbrot2 passes=1 float=y center-mag=-0.749525773313297/+0.058824468328704/\ 79121.91/1/85/0 params=0/0/0/0/0.32/0/1e-045/0 maxiter=3200 inside=0 outside=summ periodicity=0 colors=000kDrq9ur9vr8vz8wz8xz7xz7yz7yz8xz9wz9vuAuo\ AtkBsfCrcCq_Dp_DoXEnVFmSFlMGkBGjiHihIhgIgdnNapOZqP\ WsQTuRQvSNxTKyTJrXIk`HdcGYgGSkFLnEErD7vD1yF5wH9uJD\ tKHrMLpOPoPTmRXkT`jVdhWhfYle_pc`sbatcatdbtebufcufc\ ugdvhdvievjewjfwkfmlgcmgUngUncKj`KfYKbV7_W8ZX8ZY8Y\ Z8Y_8Y`9Xa9Xb9Xc9Wd9Wd9W`DQXHLTLGPPBLT6OR8QQASPCUO\ EXNGZMI`LKbKMdJOgIQiHSkGUmFWoEYmIXlLWjPViSUgWTfZSe\ aRceQbhP`lO_oNYsMXvLWyKYxN_mQ`cSbUVdKXe0_gwbiwdjwg\ lwinwlownmvokvpiuqhurzd0zm0zs0zzizzmzzz`qtbqqdpnep\ kgpiiofjocln`nnZonWqmTsmQtmOsjMrgKrdIqaGq_EiZLY_RV\ ZXOZbS`_WcY_fWcjTgmRkqPntNosQosTosWosZoszoszprzprz\ prmpzppzspzuqwsqsrqpqqlophlpbjoXhmTflOdjJciFbhCagD\ _gGZiHYjKXkLWhOWeOUcPSbPQdOOeONcNLgNJeNHgOFgOEhPLg\ RJfTHfVFeXEeYCfZAf_8g_7f_KgXXdRh`OeYNcVMaRL_OKYLJV\ HITEHRBGP8FN7IO6KO6NP5PP5RP4UQ4WQ3YQ2`R2bR1dR1gS0i\ S0kS6fWCbZIZaOUeUQh_MkeHo } 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=========================================

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FOTD 24-11-08 (Forever Ambergris [No Rating])
by Jim Muth 23 Nov '08

23 Nov '08

FOTD -- November 24, 2008 (No Rating) Fractal visionaries and enthusiasts: While taking it easy on Sunday after a busy day back at Old Fractal Central on Saturday, I stumbled upon this quick scene in the East Valley area of an oversized Mandelbrot set with quintic characteristics in its depths. I named it "Forever Ambergris", not to be confused with the novel of the same name. The reason I chose such an unlikely name must forever remain a secret. Since the image was found so casually, I could not give it a name or a rating. But even without these attributes, the calculation time of 22 seconds is so fast that nothing will be lost if the finished image disappoints. Another very convenient way to view the image is to see it in finished form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of afternoon sun and a temperature of 37F 3C here at Fractal Central kept the fractal cats happy. A slow day kept me happy. The next FOTD will be posted in 24 hours. Until then, take care, and don't be caught sleeping. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Forever_Ambergris { ; time=0:00:22.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=+0.963166516023578/-0.0571977954305165/\ 1.023133e+007/1/5/0 params=5/3 float=y maxiter=750 inside=0 logmap=72 periodicity=10 colors=000kUAnb9rc7uc6uc5vb4ua4t_4rY3qW3pU3oS3mR2l\ Q2kP2kO2kO1kO1kO1kO1kO0kP0kQ0lR0mS0oT0pV0rW0sY0uZ0\ v`0xa0yb025G3AJ3EM4IP4MS4QV5UY5Z`6bc6ff6ji7nl7ro7v\ rAxuAzxAzzdzzkzzQFSRAZS6eT2kaTejr`koYllWmiUnfSodQp\ aOqZMrWKsUItRGuOEvLCwJAOHSULNZOJcRFhUAmX6r_2pOMoDe\ Rag2yimA__TSMkKPlMRmNTnPVoQXoSZpT`qUcrWesXgsZit_ku\ amvbovclrdinefkecgf`cgZ`gWXhTTiQQiNMjKIkIFkJEkJEkJ\ EkJEkKEkKEkKEkKEkLEkLEkLEkLEkPKhSQfWWdZabag`emZhsX\ kyVejR_WNUIKWLNXOPYRR_UT`XWa_Ybb_deaehcfkfhnhiqjjt\ lkvniumhtmfsmermdqmbpmaom`nmZmmYlmXkmVjmUimTimUjlU\ klVllVmlVmlWnlWokXpkXpkXqkYrkYskYskXkdXcYXWRXOKXHE\ iA8v43xEXPTORQPTNQWJRYGS_DTb9Ud6Vf3Wh0Wg6XfBYeGZdL\ _dQ`cVab_badc`id`neXj_TgVPcPM`KIXEEU9BR4AW89`C9dG8\ iK8mO7oM7qL6sK6uJ6wI5xH5yG5zF4zD4zC3zB3zA3z92z82z7\ 2z69zDGzKNzQUzX_zbQzWGzQ7zK9zIBzGDzFFzDHzCIzEIzFIz\ HIzIIzJTzJUzHYzF`zEdzDgzB } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 23-11-08 (Cometary Cloud [7.5])
by Jim Muth 23 Nov '08

23 Nov '08

FOTD -- November 23, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: The decorations went well back at Old Fractal Central on Saturday, and when I got back to New Fractal Central just before 10pm, the FOTD went surprisingly well also. The image reminds me of a cloud of comets just taking shape, which is why I named it "Cometary Cloud". The rating of a 7-1/2 includes the usual 1/2 point for my coloring, which is rather good despite being mostly accidental. The image could also be taken as a tangle of strings of pearls, which would earn it the name "Strings of Pearls". Actually, it's nothing more than an evaporated Julia set brought to life by the 'bof60' inside fill. The calculation time of 46 seconds will bring much happiness to the wide world of fractals. And those who wait for Paul to post the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will find equal happiness there. Lots of clouds, flurries of snow and a temperature of 30F -1C characterized New Fractal Central on Saturday while I was at Old Fractal Central, where there was more sun, no snow and a temperature of a whopping 39F +4C. The fractal cats greatest disappointment was my absence. The next FOTD will appear in about 12 hours. Until then, take care and be in high anticipation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cometary_Cloud { ; time=0:00:46.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia passes=1 float=y center-mag=0/0/0.441863 params=-7/3/-1.2/0.025 maxiter=500 inside=bof60 logmap=yes periodicity=10 colors=000zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzvzzrzzmz\ zhzzczzZxzUvzQuzQszPqzPozOmzOkzNizNgzMezMczOayP_xQ\ YwSZwT_wU`wWawXbwYcw_dw`ewafwbhwdiwejwfkwhlximyjnz\ lozmpznqzprzqszrtsspppmlmiikffhcce_`cXX`TUYQRWNOTJ\ LQGIOCGL7FH000HbL8JAdYiSCEI89944Gx1Ac05K0p3Nb2HQ1B\ D05fjcWZULNKABA9uh4TMxQZcHNK8BgVG6X04M02B0tiaSNJpj\ qQNR`wFOcACK5NEeB7LsJI`CCI66Q5LJ3FD2A615cI1UD0K90A\ 403sO1SCaL0FSoAIY59HCce6KLh_imvno5NleQioyYbiNQVBDF\ CyO8dG4K8Qt9u3af2ST1JE09EyvAig7VT3FEZWwQOhHGU88Fzl\ Mj_GVOBFC5zoZVQHv`pQ66H448221zz0ee0LLAgP6TG3E83hF2\ XB1M70B31Fk0AW05GPYsGWzCOj8GV48FAQtCgx8Tc4EKJaPCPG\ 6C8ZZmQQ`HHP88C32`21O10CDsk8`W4IG8nS6aL4PE2C7kygOV\ Mac1JK0bH7J83FfJ7L9n9weIjFjn7NPx0TU0Em10X00G000_x0\ Oc0CKuuCff9TT6EE3PB_oYRYMIHB93nS1PESbCKbFDQA6D5qyi\ RVNr_OSC9L96E6473236ydLEKA7zxJjhEVU9FF4Hsd8SKIA0C6\ 0630_g0OT0CE0J2rE1d91R40D } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 22-11-08 (Julia Etal [Not Rated])
by Jim Muth 21 Nov '08

21 Nov '08

FOTD -- November 22, 2008 (Not Rated) Fractal visionaries and enthusiasts: Today's image is a Julia set of a totally evaporated image, made visible by the 'bof60' inside fill. (I think this is the first time I have checked the Julia aspect of an evaporated fractal.) Today's image isn't much, but I have the impression that I have just scratched the surface of what lies in this area. The days to come will feature further adventures in the nowhere. Having given so little time to the image, I could not give it an honest rating. The name "Julia Etal" refers out the generic nature of the scene. Perhaps the best feature of the image is its very brief calcula- tion time of 1-1/3 minutes. And it could be even faster to surf to the FOTD web site and view the finished image there. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday dawned with 4 inches 10cm of fluffy snow decorating the ground and trees here at Fractal Central, with the temperature a relatively mild 30F -1C. The rest of the day was cloudy with occasional light snow and a temperature no higher than 34F 1C. The fractal cats didn't mind the snow, but they complained about the lack of sun. My day was quite busy with work and preparations for tomorrow's trip. There will probably be no FOTD for Nov. 23. I'm going down to Old Fractal Central early on Saturday to spend the day decorating, and don't expect to return until near midnight. Until the next FOTD appears, either in one or two days, take care and prevail. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Etal { ; time=0:01:22.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia center-mag=-0.0126632/0.0571198/0.3025147/1/-12.5 params=-5/3/-1.15087/0.01037 float=y maxiter=500 inside=bof60 logmap=3 symmetry=none periodicity=0 colors=000zzzRKMRLNRMOSNPSOQSPRSQSTQTTRUTSVUTWUUXU\ V_UWbVWeVXhVYmVZrW_vW`zWazXbzQKJPLIOLHNMGMMFLNEKND\ JOCIOBHPAFQ9RMJQOJPRJPTJOVJNYJN_JMaJPdJUfJZhJckJhm\ JmoJrrJwtJwvJwyJPMKNPMKSNIVPFYRD_SfLKzbUzzV6hX3kZ3\ jY3hX4fW4dU4cT5aS5_Q6YP6WO6VNFaiEbkEcmDdnCepBfrOZG\ YZC000000VlYXjUZhQ`fNadJcbGe`CqOjnR`kUShXIJBgOG`TL\ UYQNbVGCJySRZNcXRbTUaPX`L`_HcZD6gIPbDIlmOlnUlo_loe\ lpjlpYadMSUPTRSUOUVMXWJ_XG`bAaYEdZBSti_iRIDFMGEPJD\ SMCVOCYRB`UAcX9IpANl9Sh9Xe9aa91C88G9FK9MO9TS9_W9fY\ gfZZfZQfZH8CIFHGMMETQC_VAUFDXJCZMB`PBbTAdW96pQPgH5\ 8pBCiGGcMKYRORXSLaWFGuvDFHJJFPNDVRC`VAGmfUeQ6RvBSo\ GTiKUcPVYUWRYXLbYFIsMMpKQmITjGXgE_dCcaAaUZqQRkVIiH\ ahMUgQNfVG3ApNNVqI6oL7nN7lP8kR8jT8hV9gX9nP9mR9lS9k\ T9jU9iW9hX9gY9ZuE`qDamCbiBdeAea9KtZ8AZQNMVAFZJDbRB\ `NlaPgbQbcSYcTTdVOeWJfYEic`haUg`Nf_GR2AVB9ZJ9bR9ZB\ q`FiaJbbNVdROeVG1refbbf`O } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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