Kurt Schmidt Honored With BCA President's Award
Superior, Colo., July 28, 2019 - Each year the Billiard Congress of America (BCA) recognizes an outstanding individual who made significant contributions to the billiard industry with the presentation of the BCA President's Award. This year the BCA has chosen to recognize Kurt Schmidt of A. E. Schmidt Billiard Company. [more]
This is an incredibly naive question so this may be closed. Nevertheless, I have been reading about the problem asking if every obtuse triangle admits a periodic billiard path, which has been open for a very long time. As someone who has not worked on this problem, I am wondering why what (on the surface) appears to be a "simple" problem is in fact so difficult to solve.
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From the little I have read, it would appear that there has indeed been progress into the problem by the likes of Schwartz, Halbeisen et al., Vorobets et al., and more, however none have actually solved this problem. I find it curious that finding periodic billiard paths for acute triangles via the Fagnano billiard orbits is so natural and even simple, yet as soon as the same question is asked about right or obtuse triangles the ease in answering the question is vanquished.
Start from the simplest path, a triangle with angles $\alpha, \beta, \gamma$, and build the unique triangle for which this path is a billiard path. It's easy to see that the latter triangle has angles $\frac{\alpha+\beta}{2}, \frac{\gamma+\beta}{2}, \frac{\alpha+\gamma}{2}$ and is therefore acute. Any acute triangle can be obtained in such a way.
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In any case, before we can comment on the smoothness of the Earth compared with a billiard ball, I think we require more information on either WPA rules or manufacturing standards. [Edit: Thanks to commenter Mark Folsom for providing the following clarification of just how smooth a billiard ball is:
First, a minor nit: neither of the quoted diameters is correct to the given number of significant digits. But that will not affect our calculations here. What the article seems to miss is that the stated tolerance of a billiard ball diameter is plus or minus 0.005 inch. That is, the diameter may be as small as 2.245 inches, or as large as 2.255 inches. Enlarging this 0.01 inch difference to the scale of the Earth, the allowable difference in diameters is about 56.6 km, more than the actual difference of 42.8 km. So the Earth is indeed as round as a regulation billiard ball.
Having said all this, I think this entire analysis abuses the spirit of the law, so to speak. The WPA probably does not intend to allow such ellipsoidal billiard balls onto pool tables around the world, but rather to allow some variability in the size of nearly-spherical balls. That is, the intent of the regulation is more likely that a ball should be spherical with a fixed diameter, but that diameter may be 2.245 inches for one ball, and 2.255 inches for another ball.
Has anyone actually measured the diameter differences on a billiard ball? I guess the quality manufactures make them as round as possible and with better smothness and tolerances than the extreme tolerances allow.
The question should be : Is earth smoother than a billiard ball with the worst tolerances?
We seem to be in violent agreement. I agree, as also indicated in the last paragraph of the post, that nominal diameter tolerance (or something like it) is probably the more likely intended meaning of the WPA requirement. But what, *if any*, is the corresponding sphericity requirement? If it is in fact G1000, then you are also correct that the Earth is not as *spherical* as a billiard ball. But I think we need more information, preferably from an actual billiard ball manufacturer, before simply assuming that billiard ball manufacturing (where resin is the typical material being manipulated) borrows all equipment, specifications, etc., from (steel) ball bearing manufacturing.
This is the additional information we are looking for. In comparison, at the scale of a billiard ball, the Mariana Trench is a groove almost 2000 microinches deep. So it seems the Earth is nowhere near as smooth as a billiard ball.
id say that if you consider the surface of the earth to include the water surfaces, then the rms roughness is likely to drop to a similar level as the billiard ball, statistically anyway. The main issue is the lack of info on sphericity as has been stated.
Quite amazing really, when you look at a cliff. Also amazing if you look at a billiard ball and imagine that those invisible scratches are the height of Everest and how flipping tiny we are in comparison.
We need to hear from Skip D the OP, who asked for a billiard table, not a pool table. Billiard tables have no pockets. One or more of those shown at the 3D Warehouse site are true billiards tables, but the great majority have pockets.
I've a friend who has an expensive billiard table and plays. Its slate top has electric heating elements to regulate its temperature to a tournament-level standard. He has a smartphone app to turn it on from wherever he is so it is ready to play when he gets there.
The exceptional electronic properties of graphene, with its charge carriers mimicking relativistic quantum particles and its formidable potential in various applications, have ensured a rapid growth of interest in this new material. We report on electron transport in quantum dot devices carved entirely from graphene. At large sizes (>100 nanometers), they behave as conventional single-electron transistors, exhibiting periodic Coulomb blockade peaks. For quantum dots smaller than 100 nanometers, the peaks become strongly nonperiodic, indicating a major contribution of quantum confinement. Random peak spacing and its statistics are well described by the theory of chaotic neutrino billiards. Short constrictions of only a few nanometers in width remain conductive and reveal a confinement gap of up to 0.5 electron volt, demonstrating the possibility of molecular-scale electronics based on graphene.
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That means that the library will need to spawn (instead of fork) your child process, and have it re-import the __main__ module to run f, just like Windows does. Without the if __name__ ... guard, re-importing the __main__ module in the children will also mean re-running your code that creates the billiard.Process, which creates an infinite loop.
How is phenolic resin used in the production of billiard balls? Phenolic resin is the primary material used to make billiard balls. To make a billiard ball, the resin is placed into a round mold and subjected to extreme pressure during the thermosetting process. The phenolic resin is key to ensuring every ball has a consistent density and diameter tolerance, which is vital to the game. Then, it moves on to the polishing process.
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There are also variations that are like subcategories. If you put a saddle stem on a billiard, you have a Saddle Billiard. You can also have an oval shank or a diamond shank or a thin "pencil" shank. The bowl and/or shank can have flat panels resulting in a Panel Billiard. A box-shaped bowl with a square shank is a "Four-Square" Billiard.
The Women\u2019s Professional Billiard Association (WPBA) is the governing body of women\u2019s professional billiards in the U.S.A., and one of the longest-running women's professional sports organizations in the world.
At the time, billiards was at the peak of its popularity. However, as the game found more and more enthusiasts, a problem arose. Strangely enough, the problem was linked to a shortage of elephants, which were already scarce at that time! For over two centuries, ivory from elephant tusks had been the only material both used and usable to fashion billiard balls, and there was no longer enough ivory to meet increasing demand, especially given that a single tusk only produces 4 to 5 balls!
The Civil War and the blockade imposed on the southern states made it impossible to import the highly sought-after material and ultimately put an end to the trade. 2351a5e196
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