FOTD -- July 14, 2016 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image is indeed out of order. As can be seen in the X and Y coordinates, it lies on the west shore line of the northern branch of Scepter Valley of the classic Mandelbrot Set. Its exact location is in the center of a minibrot. But the centers of minibrots are points of infinite iterations, so what right does today's very non-blank scene have to be located there? This is the big mystery, in fact it is the greatest mystery I have yet discovered in my 25 years or so of fractal exploration. And what right does today's fractal have to contain an outer ring of 20 elements and an inner ring of 22? This is certainly not a 'powers-of-two' series. All I have is questions. I have no answers. Do not try to reach a minibrot at the center of today's image. There is none! The whole scene is already inside a minibrot. The number of elements continues increasing in steps of two as we go deeper. There might be something open at the center, where increasing the maxiter will take us no deeper, but with my 200mhz machine, I am not going to look for it. The name "Out of Order" refers to the strange series of numbers of elements around whatever if anything lies at the center of today's image. The art worth of the image is an 8, while the math rates a 9. The calculation time of a half-hour is true on my ancient 200mhz unit. On anything more modern, the image will finish in a few minutes. Curiously, if the outside is set to 'TDIS' the image will take many times longer to finish. I still wonder if the unexpected detail that makes up today's image is a mere artifact of mathematical imprecision, or perhaps a flaw in the HyperMandelbrot2 formula itself. But whatever, the images this formula draws can be very unexpected, and in a week or so I'll probably have another one. The weather was hot and humid here at Fractal Central today, with a brief but very heavy shower at noon that dropped 2cm of rain in 10 minutes but did nothing to cool things down. The afternoon high reached 93F 34C. FL spent some afternoon time repairing her garden where an overflowing rain gutter washed out loose soil. The fractal cats spent most of the day sleeping and watching for unwanted cats, while I browsed the internet, where materialists debate idealists over quantum interpretations. The next FOT-'D' (I have returned to the traditional fot-'D' name) will appear in a few days more or less. Until that wonderful time arrives, take care, and I see there is a kind of undeclared war on the internet between the warriors of reason who defend the classic Newtonian world view of material reality and the insurgents who claim that quantum theory has shown that the objective world of material is an unreal illusion. I don't know which side is right, maybe both or neither; nor do I care very much. But the righteous rhetoric is amusing, with materialistic rationalists vigorously disagreeing with some of their own scientists who, by following the scientific method, have come to conclusions that give credence to the philosophy of idealism. Actually, the battle could already be settled, since quantum theory has been preaching metaphysics for 80 or 90 years, and our hi-tech electronic devices, which have been using quantum principles for almost as long, are still working as they should. (In most cases, that is!) More later . . . Jim (just an objective observer) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Out_of_Order { ; time=0:31:10.54 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 outside=real center-mag=-1.250873937262811/+0.02375785984453591\ /7.97e+009/1/-147/0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000RAFR9DWEL_ITcN_gRgkVngXjcZg``cXb`TdXQfUO\ kUMhQIjNQm`NlXLlUJkQHnNAqS1sY3tW4sV6rT7qS8pRAoPBnO\ DmMElLGKnFYZ6M_8QY9TWAWUBZSCbQDeOEhMhvPctOZrNUpMPn\ LKlKA3KB6UB9ZBCcCFhCImCLpDOsDRuDUwEXvE_uEatFcsFerG\ fqHhpIioJkmKmkKmiKmgKmeKmcKm`KmYKmWKmTKmRKmOKmMh5c\ f8adB`bE_`GZZJXXMWVOVURUSUSQWROZQMaPKcNIfMGiL0uu2t\ q3sn5rjAqgFpcKo`PnXUmUZpQcsNmv2wz4zz5vv6vr7um8so9o\ qAiqBcoD_mEWkFSiGOeHLaIKYJKU7UR9mTAmVBhYCg_Df`EabF\ XdGSfHNhIIjJmjaik_fkYckX`kVYkTUkSRkQOkOLkNIkLazqXw\ jStcOqXJnQkpEbnGVmHNlJ559668767876975975A67B68C59D\ 5BE4CF4DG4FH3GI3HJ2JK2KK2LJ7MIBNHGNGKOFPOETPEYPDaQ\ CfQBjRAoR9sS9wS8vV8vX7vZ7v`6uc6ue6ugIuiUtlZtnctpht\ rmuprvovwnzwlzxkzyjzyizebzMWzQPzTJzWDzZ7z_9z_Az_Cz\ _Dz_Fz_Gz_Iz_JzYLzXMzVOzUPzSQwRSuPTsOVqMWoLXmJZkI_\ jH`iNchSfgNefJeeFddBdc7dbDfaKg`Kh_KiZKjYKkXKmWKoVK\ qUKsTKtSKuRKvQKwPKxOKyNKz } 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=========================================
I was curious to see what was at the center. I had to increase the maximum iterations to 500,000 and zoom to a magnification of 1.5E18. Unfortunately I also had to use arbitrary precision arithmetic which made a very slow fractal even slower. I am not sure what to call the object there, but here is what I saw: http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_200_2_dz.jpg Sorry the image is so small but even with this size it took 4 hours. There definitely is some interesting stuff in the buds at the top and bottom. If I get time I will try one more zoom into one of those. -- Mike Frazier www.fracton.org
The zoom into the upper bud just finished after 5 hours. The image is still too small and needs more anti-aliasing but it looks similar to the logo on Jim's web site. Here is the image. http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_b_200_2_dz.j... -- Mike Frazier www.fracton.org
Hal encouraged me to do one more zoom into the bud at the top of Jim's FOTD fractal from July 14. In the last image, you still weren't able to quite tell what was there because of aliasing. Finally, here is an image where you can see that the inside of the bud consists of thin rays. The center ray continues off the top of the image. There are several other structures coming into view along the top and sides of the bud. The image took 7 hours to calculate. http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_c_200_2_dz.j... -- Mike Frazier www.fracton.org
https://www.youtube.com/watch?v=I2WF0geuvR8&list=PLBkNnWUgzsALI3c0h3onrHUjSh... Color Cycling fascinates On Fri, Jul 15, 2016 at 9:32 PM, Mike Frazier <fractonorg@gmail.com> wrote:
The zoom into the upper bud just finished after 5 hours. The image is still too small and needs more anti-aliasing but it looks similar to the logo on Jim's web site. Here is the image.
http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_b_200_2_dz.j...
-- Mike Frazier www.fracton.org _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
All my investigations of Jim's FOTD -- July 14, 2016 are (unless otherwise noted): - 5X oversampled (to 27 mega-pixel images) - anti-aliased usually with slight sharpening Best results are from full size image viewing. Jim's FOTD -- July 14, 2016: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714.jpg Jim says, "Today's image ... lies on the west shore line of the northern branch of Scepter Valley..." Paul Derbyshire shows where Scepter Valley is located in his page's section titled, "World Map and Popular Tourist Areas" at: http://66.39.71.195/Derbyshire/manguide.html "...Scepter Valley, ... is the "neck" region separating any disk's "head" from the disk." Jim says, "[The FOTD's] exact location is in the center of a minibrot." The FOTD (see link above) resides in the center of the large circular "island" in the right side/bulb of the minibrot. Here's that unusual minibrot: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714A.jpg Here's Scepter Valley of the parent fractal of the FOTD up close and personal: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714X.jpg The dark area at the far left might be Moiré fringes. I increased Maxiter's value from Jim's 3000 to 4000. Doing this extended the fingers/bands much farther into the lakes. After the Maxiter increase, some bands got so close together that Moiré fringes *did* appear on the left. No! Wait! I zoomed on what I thought were those Moiré fringes, and discovered that this darker area in "X" above was actually caused by the long thin fingers *bifurcating* and including additional black lake color between the newly separated, thinner fingers! In this image that's cropped from the 6k x 4.5 k "false" Moiré fringe area, look carefully and you can see that each of the fingers starting from the *right* edge splits into two fingers about halfway across the image. http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714V.gif The FOTD's "parent" fractal: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714Z.jpg Enlargement of the FOTD's "parent" fractal http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714Y.jpg Out the negative Y-axis of the Mandeloid in "A" above is a very distorted Mandeloid: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714U.jpg Here's a zoom into the center dot in the dark purple area on the right in "U": (Richard's Fractint for Windows beta 5 detected that "Disk Video" image I was going to create would create numerical representation artifacts at my specified magnification and automatically reduced it. So, the size reduction factor ("filtering") of my anti-aliasing is less than the 5X that I usually use, and consequently, the anti-aliased image is not as sharp as usual.) http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714T.jpg Above the parent's ("Y") main body on a filament is a smaller Mandeloid: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714S.gif - Maxiter = 3,000 This is the same image area as "S" immediately above, but with Maxiter increased to 500,000 to wring out all possible detail available in the lakes. This reveals a Mandeloid hidden in the interior of the original Mandeloid: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714R.gif - Maxiter = 500,000 A zoom into head of the "hidden" Mandeloid in "R": http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714Q.gif - Maxiter = 500,000 - Yes, it's slow. That's why it's a small image. Either I (or possibly Mike Frazier) may do a higher resolution version of "Q" to see if the contents of the bulb/bud can be resolved. I'm thinking the bud/bay in "Q" that's filled with stuff is likely filled with *all* extremely narrow, almost parallel fingers -- which make Moiré fringes when they get narrow enough to create an interference pattern with Fractint's spatial sampling frequency. I also have a conjecture that the darker head/bud area is possibly formed of all bifurcated (and hence darker) fingers -- like the fingers in the: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714V.gif (discussed above) -- which create the dark area at far left in: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160714X.jpg . - Hal Lane -- with motivation, ideas and CPU cycles from Mike Frazier ######################## # hallane@earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Jim Muth Sent: Thursday, July 14, 2016 7:09 PM To: fractint@mailman.xmission.com Subject: [Fractint] FOTD -- July 14, 2016 FOTD -- July 14, 2016 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image is indeed out of order. As can be seen in the X and Y coordinates, it lies on the west shore line of the northern branch of Scepter Valley of the classic Mandelbrot Set. Its exact location is in the center of a minibrot. But the centers of minibrots are points of infinite iterations, so what right does today's very non-blank scene have to be located there? This is the big mystery, in fact it is the greatest mystery I have yet discovered in my 25 years or so of fractal exploration. And what right does today's fractal have to contain an outer ring of 20 elements and an inner ring of 22? This is certainly not a 'powers-of-two' series. All I have is questions. I have no answers. Do not try to reach a minibrot at the center of today's image. There is none! The whole scene is already inside a minibrot. The number of elements continues increasing in steps of two as we go deeper. There might be something open at the center, where increasing the maxiter will take us no deeper, but with my 200mhz machine, I am not going to look for it. The name "Out of Order" refers to the strange series of numbers of elements around whatever if anything lies at the center of today's image. The art worth of the image is an 8, while the math rates a 9. The calculation time of a half-hour is true on my ancient 200mhz unit. On anything more modern, the image will finish in a few minutes. Curiously, if the outside is set to 'TDIS' the image will take many times longer to finish. I still wonder if the unexpected detail that makes up today's image is a mere artifact of mathematical imprecision, or perhaps a flaw in the HyperMandelbrot2 formula itself. But whatever, the images this formula draws can be very unexpected, and in a week or so I'll probably have another one. The weather was hot and humid here at Fractal Central today, with a brief but very heavy shower at noon that dropped 2cm of rain in 10 minutes but did nothing to cool things down. The afternoon high reached 93F 34C. FL spent some afternoon time repairing her garden where an overflowing rain gutter washed out loose soil. The fractal cats spent most of the day sleeping and watching for unwanted cats, while I browsed the internet, where materialists debate idealists over quantum interpretations. The next FOT-'D' (I have returned to the traditional fot-'D' name) will appear in a few days more or less. Until that wonderful time arrives, take care, and I see there is a kind of undeclared war on the internet between the warriors of reason who defend the classic Newtonian world view of material reality and the insurgents who claim that quantum theory has shown that the objective world of material is an unreal illusion. I don't know which side is right, maybe both or neither; nor do I care very much. But the righteous rhetoric is amusing, with materialistic rationalists vigorously disagreeing with some of their own scientists who, by following the scientific method, have come to conclusions that give credence to the philosophy of idealism. Actually, the battle could already be settled, since quantum theory has been preaching metaphysics for 80 or 90 years, and our hi-tech electronic devices, which have been using quantum principles for almost as long, are still working as they should. (In most cases, that is!) More later . . . Jim (just an objective observer) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Out_of_Order { ; time=0:31:10.54 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 outside=real center-mag=-1.250873937262811/+0.02375785984453591\ /7.97e+009/1/-147/0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000RAFR9DWEL_ITcN_gRgkVngXjcZg``cXb`TdXQfUO\ kUMhQIjNQm`NlXLlUJkQHnNAqS1sY3tW4sV6rT7qS8pRAoPBnO\ DmMElLGKnFYZ6M_8QY9TWAWUBZSCbQDeOEhMhvPctOZrNUpMPn\ LKlKA3KB6UB9ZBCcCFhCImCLpDOsDRuDUwEXvE_uEatFcsFerG\ fqHhpIioJkmKmkKmiKmgKmeKmcKm`KmYKmWKmTKmRKmOKmMh5c\ f8adB`bE_`GZZJXXMWVOVURUSUSQWROZQMaPKcNIfMGiL0uu2t\ q3sn5rjAqgFpcKo`PnXUmUZpQcsNmv2wz4zz5vv6vr7um8so9o\ qAiqBcoD_mEWkFSiGOeHLaIKYJKU7UR9mTAmVBhYCg_Df`EabF\ XdGSfHNhIIjJmjaik_fkYckX`kVYkTUkSRkQOkOLkNIkLazqXw\ jStcOqXJnQkpEbnGVmHNlJ559668767876975975A67B68C59D\ 5BE4CF4DG4FH3GI3HJ2JK2KK2LJ7MIBNHGNGKOFPOETPEYPDaQ\ CfQBjRAoR9sS9wS8vV8vX7vZ7v`6uc6ue6ugIuiUtlZtnctpht\ rmuprvovwnzwlzxkzyjzyizebzMWzQPzTJzWDzZ7z_9z_Az_Cz\ _Dz_Fz_Gz_Iz_JzYLzXMzVOzUPzSQwRSuPTsOVqMWoLXmJZkI_\ jH`iNchSfgNefJeeFddBdc7dbDfaKg`Kh_KiZKjYKkXKmWKoVK\ qUKsTKtSKuRKvQKwPKxOKyNKz } 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========================================= _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus
participants (4)
-
Harold Lane -
Jim Muth -
Mike Frazier -
Ram Peloquin