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.
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.
Would anyone here be able to explain to me why this is (I know why Fagnano orbits do not exist in obtuse/right triangles), and how we happened upon methods such as unfoldings to be the best machinery in asking questions about this problem?
I am not sure why it is so hard. All I can really say is that, after a lot of experimentation, I can't really see any pattern to it. It might be hard in the same way that building the fountain of youth is hard: nobody has any idea what to do.
Sometimes I have described the problem as being akin to riding your bicycle to the North Pole. You know in advance that something is going to go bad for you, but it is hard to know what that will be exactly.
It seems that hexagonal paths are not possible and with higher order paths, even when some obtuse triangles are hit, each configuration will probably cover only a small patch of the space of obtuse triangles, much like pentagons already only partially cover the acute triangle space.
Mick, the ones I posted are from my CA X10 Library, I just typed in Pool Table, and they pop up. I did type in Rec and Rec Room and Games that Eric posted shows up. If you click on Billiards in that folder, there are several options that open up.
Thanks Bob it must be in a Library I don't have eg a grouped Room or something , I don't have it or any Rec Room Folder , I thought perhaps it had migrated forward from an old version, but couldn't tell from Eric's Pic what the exact name or type was....
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.
I too don't return any results when typing in Pool Table, Billiard, or anything else. Gene, I had no idea about Billiard, Pool Table or other characteristics of this game. I did find a result with the Chopsaw's suggestion of 3d Warehouse and was able to download something even though I don't use Sketchup, unfortunately the one I chose has some strange polyline solid adjacent to the item that I haven't been able to get rid of. Need to choose a different one I suppose.
Thanks Kbird! We are revamping this catalog and will be breaking it into some sub-pieces while adding more variety of similar objects to the new groupings. I've paused service for new downloads on this older version of the catalog in anticipation of transitioning to the updated catalog in the next few months.
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.
Overall, the fifty objects clearly demonstrate that this narrowly circumscribed part of New York State has played an astonishing role in shaping the history of the nation and, in several instances, the world beyond the confines of our national borders.
In 1875, the Scottish immigrant Peter Kinnear took over the billiard ball manufacturing business and changed the name to Albany Billiard Ball Company. At the time, the factory was located on the southeast corner of Grand and Plain Streets in Albany (now under the South Mall Arterial). Kinnear and others encountered one major problem: celluloid tended to explode into flames. Fortunately, another early plastic developed by Hyatt, called bonsilate, was better suited for billiard balls. Made from finely ground bone and sodium silicate, bonsilate was sturdier than celluloid, held color better, and did not burst into flames. Kinnear quickly adopted the composition as the primary material for his billiard balls.
By the early twentieth century Albany Billiard Ball Company relocated from its downtown operation to a larger factory on the corner of Delaware Avenue and Whitehall Road. It remained in business until the 1980s.
The script behaves as expected, printing "ok!" and ending. But if I omit the if __name__=='__main__': line and de-indent the following lines, my machine (OS X) goes crazy, continually spawning tons of Python processes until I killall Python. Any idea what's going on here?
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.
Some years back, I decided to do some research into the names of different pipe shapes, just to get a better understanding. This eventually led to my doing the ASP Pipe Shapes Chart. I don't consider myself an authority on the subject, but I have studied a bit.
The most classical of the classic shapes, nearly every pipe maker makes a Billiard. The bowl is nearly cylindrical with a rounded bottom, or heel. The bore, or tobacco chamber, is also cylindrical. The shank is round and approximately the same length as the height of the bowl and the stem is usually tapered. The bowl tilts away from the shank by a couple of degrees.
One feature I look for in a Billiard is a flat rim. Think about it: if the bore or tobacco chamber is cylindrical and the outside of the bowl is cylindrical, the rim should be equal to the thickness of the bowl sides all the way down. I expect a small "belly" to the bowl, giving you a little extra wall thickness where you need it. Some makers taper the top of the bowl to meet the bore or round off the lip of the bowl. While there is nothing wrong with this, it doesn't really meet the classical specs. As long as it doesn't make the bowl look too much like an Apple or an Egg, I would still consider it a Billiard, at least in inspiration.
Many other shapes are based on the classic Billiard. For example, make the bowl a bit rounder and you have an Apple. Make the shank longer and the stem shorter and you have a Liverpool. Make the bowl taller and it's a Stack, shorter and it's a Pot. Make the bottom of the bowl flat and you have a Poker.
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.
Billiards are made straight, 1/8 bent, 1/4 bent, 1/2 bent, 3/4 bent and full bent. There may be a way to accurately measure which is which, but I haven't seen much precision applied to this feature. Particularly between 3/4 bend and full bent, the naming seems very approximate in practice. The full bent, a good choice if you're a clencher, is sometimes called a Hungarian or an Oom Paul.
So, where did the name "Billiard" come from? I haven't been able to find a definitive answer. The best explanation I have heard so far was that at the time the shape was named, the game was very popular, so whoever came up with the name for the pipe shape named it after the popular game of the day. Maybe. Good thing the popular game wasn't craps.
There is another group of shapes derived from the Billiard: the Long Shanks. This group includes the Canadian, the Liverpool, the Lumberman and the Lovat. I'll cover them in the next article. (see Canadian).
The following shape numbers appear to be Billiards, as far as I can tell from flyers and catalogs. Thanks to Chris Keene's Pipe Pages[2] for the research material. Note this list may not be terribly accurate, based on old information, and is definitely incomplete.
You should do your own for billiards honestly and I bet its has lots of raycasts in the end, which in turn give you the shot line UI that you see in most of them. Its kinda hard to do things like english on the ball with Oimo and Cannon.
Ammo.js works imho. It all depends on the level of accuracy you need, but, you can get something good with ammo. Here is an example I have built . Not exactly billiards, but, the physics are quite similar.
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