Timeline for Consequences of lack of rigour
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 1, 2019 at 2:23 | comment | added | LSpice | @Joce, the bitriangle? :-) (BiCWC, for 'constant-width curve', looks inelegant, but can be pronounced relatively easily.) | |
| Feb 28, 2019 at 20:31 | comment | added | Joce | @FrancescoPolizzi: in the video, they are used as rolls, the axis position is allowed to move and is there only to maintain the wheel in the plane of the bi... of this machine. | |
| Feb 28, 2019 at 17:33 | comment | added | LSpice | @FrancescoPolizzi, I believe it is 'Reuleaux'. | |
| Feb 28, 2019 at 10:28 | comment | added | Francesco Polizzi | @erz ''are you sure that the problem was in lack of rigour in mathematics at that time, rather than a mistake?" Unfortunately I cannot answer this, since Gardner gives no references. It is interesting to notice that Rouleaux studies on its triangles started in the second half of XIX centuries, more or less the same period of the first submarines. | |
| Feb 28, 2019 at 9:58 | comment | added | Wrzlprmft | I concur with @erz: This is a problem due to a lack of mathematical knowledge (of engineers, etc.), not due to lack of mathematical rigour. | |
| Feb 28, 2019 at 9:05 | comment | added | erz | this is an interesting case, but are you sure that the problem was in lack of rigour in mathematics at that time, rather than a mistake? | |
| Feb 28, 2019 at 7:01 | comment | added | Francesco Polizzi | @PabloH: curves of constant width actually allow the construction of non-circular wheels. Here is a video of a bycicle whose wheels have the shape of a Rouleaux triangle. youtube.com/watch?v=vk7s4PfvCZg | |
| Feb 28, 2019 at 6:58 | comment | added | Francesco Polizzi | @NoamD.Elkies: right, thank you. | |
| Feb 28, 2019 at 4:15 | history | edited | Noam D. Elkies | CC BY-SA 4.0 |
corrected a misleading typo: Gardner wrote "thought", not "taught".
|
| Feb 28, 2019 at 1:11 | comment | added | Noam D. Elkies | "taught" is a typo. Gardner wrote "thought". | |
| Feb 28, 2019 at 0:14 | comment | added | Pablo H | @FrancescoPolizzi Re: non-circular wheels. Non-circular constant-width shapes allow for rolls or rods, but not wheels, understanding wheels as something with an axis (constant distance from a point is by definition a circle). | |
| Feb 27, 2019 at 23:06 | comment | added | alephzero | @MichaelLugo Your Martin Gardner quote answers that, in the negative. But whatever mathematicians might have been taught about this is irrelevant, since mathematicians don't design submarines. | |
| Feb 27, 2019 at 22:26 | comment | added | Francesco Polizzi | The original question is not one about space shuttles, but Is the circle the only closed curve of constant width?, i.e. Is the circle the only possible shape for wheels? This is a very natural question, I think... | |
| Feb 27, 2019 at 22:01 | comment | added | Théophile | Most people do not build fuel booster tanks for space shuttles. | |
| Feb 27, 2019 at 20:27 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
added 1 character in body
|
| Feb 27, 2019 at 19:00 | comment | added | Francesco Polizzi | Well, I think that "Most people would say yes" is intended if asked. And, in fact, I guess that most people do not suspect that it is possible to make perfectly working wheels with non-circular shape. | |
| Feb 27, 2019 at 18:22 | comment | added | Christian Remling | "Most people would say yes:" one can indeed detect a certain lack of rigor in this method of proof (especially when the question is one that "most people" will never have thought about). | |
| Feb 27, 2019 at 16:54 | comment | added | Michael Lugo | This "might be taught". Do we know if it actually was taught this way at some point? | |
| Feb 27, 2019 at 15:04 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Feb 27, 2019 at 14:49 | comment | added | Rodrigo A. Pérez | In one of his books, Feynman mentions the same issue regarding reusable fuel booster tanks from the space shuttle | |
| Feb 27, 2019 at 14:08 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
added 6 characters in body
|
| Feb 27, 2019 at 14:03 | history | answered | Francesco Polizzi | CC BY-SA 4.0 |