Editing Talk:2625: Field Topology
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: I looked up the goal thing and found that what I was imagining are called H-frame or H-style goal posts. Not the norm; the have two posts instead of one. I'm a weirdo that I thought they were what was up. But Randall could have been thinking of H-frame goals. [[Special:Contributions/172.70.230.63|172.70.230.63]] 15:04, 28 May 2022 (UTC) | : I looked up the goal thing and found that what I was imagining are called H-frame or H-style goal posts. Not the norm; the have two posts instead of one. I'm a weirdo that I thought they were what was up. But Randall could have been thinking of H-frame goals. [[Special:Contributions/172.70.230.63|172.70.230.63]] 15:04, 28 May 2022 (UTC) | ||
::Many high school and amateur football fields still use H-frame goals. The resulting space can be used as a goal in some other sports. That does raise the question of why they didn't just have one field with lots of holes, and just plug the ones up that aren't needed for the sport being played. [[Special:Contributions/172.70.134.191|172.70.134.191]] 15:57, 28 May 2022 (UTC) | ::Many high school and amateur football fields still use H-frame goals. The resulting space can be used as a goal in some other sports. That does raise the question of why they didn't just have one field with lots of holes, and just plug the ones up that aren't needed for the sport being played. [[Special:Contributions/172.70.134.191|172.70.134.191]] 15:57, 28 May 2022 (UTC) | ||
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Tetherball, in many variants, does contain an obstruction -- the pole, which you're not allowed to touch. The Topology Department is getting tired of having to switch out the fields. [[User:Noëlle|Noëlle]] ([[User talk:Noëlle|talk]]) 13:05, 27 May 2022 (UTC) | Tetherball, in many variants, does contain an obstruction -- the pole, which you're not allowed to touch. The Topology Department is getting tired of having to switch out the fields. [[User:Noëlle|Noëlle]] ([[User talk:Noëlle|talk]]) 13:05, 27 May 2022 (UTC) | ||
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: Two fields that are topologically equivalent are not necessarily capable of being used for playing multiple sports. Swimming on a croquet field - or playing croquet in a swimming pool does not work. [[Special:Contributions/172.69.71.199|172.69.71.199]] 18:15, 29 May 2022 (UTC) | : Two fields that are topologically equivalent are not necessarily capable of being used for playing multiple sports. Swimming on a croquet field - or playing croquet in a swimming pool does not work. [[Special:Contributions/172.69.71.199|172.69.71.199]] 18:15, 29 May 2022 (UTC) | ||
:: The goal is to explain the joke in '''laymans terms''' yaknow, "because your dumb". Since the joke is missed by those outside the fields and don't know how definitions of terms differ in different fields and whatnot. Its the whole purpose. The thing above explains nothing in laymans terms. There is no joke. All there is is an explanation on how field theory and topolgy work and then why the resulting images make sense. Nothing on why this is supposed to be funny. The one thing we actually have to explain at minimum. The joke seems to be that this field which is created for the reasons already described is the actual field we would play on (something completly unaddressed in the explanation above). This could be dangerous with those holes (also unaddressed). And then there is the unadressed question of is this a raised plot of land thats been cut out, or is this all that exist, and kicking the ball off field or falling in a hole goes into a void. This needs to be an explanation for people who are much, much, much dumber. We are not supposed to be explaining field theory, just enough of it to get the joke [[Special:Contributions/162.158.187.124|162.158.187.124]] 18:27, 29 May 2022 (UTC) | :: The goal is to explain the joke in '''laymans terms''' yaknow, "because your dumb". Since the joke is missed by those outside the fields and don't know how definitions of terms differ in different fields and whatnot. Its the whole purpose. The thing above explains nothing in laymans terms. There is no joke. All there is is an explanation on how field theory and topolgy work and then why the resulting images make sense. Nothing on why this is supposed to be funny. The one thing we actually have to explain at minimum. The joke seems to be that this field which is created for the reasons already described is the actual field we would play on (something completly unaddressed in the explanation above). This could be dangerous with those holes (also unaddressed). And then there is the unadressed question of is this a raised plot of land thats been cut out, or is this all that exist, and kicking the ball off field or falling in a hole goes into a void. This needs to be an explanation for people who are much, much, much dumber. We are not supposed to be explaining field theory, just enough of it to get the joke [[Special:Contributions/162.158.187.124|162.158.187.124]] 18:27, 29 May 2022 (UTC) | ||
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Wondering if any topologists understand American football, and if any football fans understand topology. I am a football fan who doesn't understand topology. As requested before, I would like to understand why there is any topological difference in analyzing the American football gameplay and playing field, between H-shaped and Y-shaped goals. | Wondering if any topologists understand American football, and if any football fans understand topology. I am a football fan who doesn't understand topology. As requested before, I would like to understand why there is any topological difference in analyzing the American football gameplay and playing field, between H-shaped and Y-shaped goals. | ||
− | The field-goal-space is functionally a rectangle above the crossbar, and the width between the uprights, but of undefined height, in both the H and Y cases. It is directly above the back line of the endzone | + | The field-goal-space is functionally a rectangle above the crossbar, and the width between the uprights, but of undefined height, in both the H and Y cases. It is directly above the back line of the endzone. The one or two supports for the crossbar are irrelevant to gameplay. All supports below the bar would be eliminated, if the engineering problem could be solved. Why does the existence of one vs. two engineering kludges make a critical difference in the number of topological holes? |
The endzone, that is, all of the space on the playing field (grass) in front of, and on either side of the goalposts is valid and legal for every player and for the ball on every play, potentially with scoring implications at the termination of the play. Note that the goal posts for pro football were at one time at the back of the endzone, then from 1933 to 1974, on the goal line, and since 1974, at the back of the endzone again. NCAA/college football has had the goalposts at the back of the endzone since 1927. | The endzone, that is, all of the space on the playing field (grass) in front of, and on either side of the goalposts is valid and legal for every player and for the ball on every play, potentially with scoring implications at the termination of the play. Note that the goal posts for pro football were at one time at the back of the endzone, then from 1933 to 1974, on the goal line, and since 1974, at the back of the endzone again. NCAA/college football has had the goalposts at the back of the endzone since 1927. | ||
− | All of the space above the grass, above the endzone, both under and above the height of the horizontal crossbar, are also legal and valid for play by the players and by the ball on every play. In one case, a play involving a legally kicked field goal, the space above the crossbar and between the uprights, has scoring significance. A field goal has the same name and the same general mechanics in basketball and in American football. In neither case do the engineering contrivances supporting and suspending the goal rectangle (football) or circle (basketball) play a conceptual role in the gameplay. Why, then, do the topologists here in the discussion treat football and basketball differently, and why are H-shaped and Y-shaped goals in football not equivalent? Randall counts both basketball and football as 'two-holers', but the current public Expain xkcd | + | All of the space above the grass, above the endzone, both under and above the height of the horizontal crossbar, are also legal and valid for play by the players and by the ball on every play. In one case, a play involving a legally kicked field goal, the space above the crossbar and between the uprights, has scoring significance. A field goal has the same name and the same general mechanics in basketball and in American football. In neither case do the engineering contrivances supporting and suspending the goal rectangle (football) or circle (basketball) play a conceptual role in the gameplay. Why, then, do the topologists here in the discussion treat football and basketball differently, and why are H-shaped and Y-shaped goals in football not equivalent? Randall counts both basketball and football as 'two-holers', but the current public Expain xkcd test says that he is wrong for pro and college football. So far as I can tell, pro and college football have both used the Y-goal since 1974 or before. The Y-support for the goalposts is 6.5 feet behind the back of the endzone, and completely outside of the playing field. I look forward to learning something. |
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