Timeline for Doubling the cube with rational Meccano strips
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Oct 10, 2021 at 17:25 | comment | added | AxiomaticSystem | "Aren't the strips just like marked rulers? What specifically is not allowed in the linked construction?" Meccano strips can only measure rational distances, so the rays CF and CE don't exist. | |
| Oct 10, 2021 at 4:49 | comment | added | Florian F | So you are asking for $\sqrt[3]2$ as a ratio between two lengths. In the example, the bar marked phi would be of length 88*phi when using unit mecanos. | |
| Oct 8, 2021 at 11:40 | comment | added | Parcly Taxel | @quiklin Any rational bracing as I've defined it can be turned into a Meccano bracing by clearing denominators. Since it is possible to get all rational lengths through only Meccano strips with hole spacing 1, this does not increase nor decrease the expressive power; my formalisation is just a convenience. | |
| Oct 8, 2021 at 8:43 | comment | added | quilkin | If "The strips have no discrete holes on them and may be arbitrarily long" what has this to do with Meccano? The original monographs quoted all deal with the regular spaced holes in Meccano strips of (an assortment of) predefined lengths. | |
| Oct 7, 2021 at 20:04 | history | edited | Parcly Taxel | CC BY-SA 4.0 |
And then some
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| Oct 7, 2021 at 20:03 | comment | added | Parcly Taxel | @Nautilus How would that work? All constructions must use a finite number of strips . | |
| Oct 7, 2021 at 18:05 | comment | added | Nautilus | Is there a way to apply the function $f(1) = 1+1/(x^2+x+1)$ infinite times without violating the rules? | |
| Sep 24, 2021 at 1:08 | comment | added | Jerry Dean | @loopywalt Segments CD CG and CH probably have irrational lengths, which I guess isn't allowed by rule 2. | |
| Sep 22, 2021 at 5:58 | comment | added | Parcly Taxel | @loopywalt In the first case, you have implicitly used a piece of paper, which is not allowed. | |
| Sep 22, 2021 at 5:22 | comment | added | loopy walt | Sorry, you completely lost me.What's the difference between drawing a triange and joining three strips of suitable lengths at their ends? | |
| Sep 22, 2021 at 5:21 | history | edited | Parcly Taxel | CC BY-SA 4.0 |
clarification following loopy walt's comments
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| Sep 22, 2021 at 5:13 | comment | added | loopy walt | Maybe I misunderstand. Aren't the strips just like marked rulers? What specifically is not allowed in the linked construction? I don't see where a compass is required. This seems to be quite a specialist topic, so it would do no harm to explain for dummies. | |
| Sep 22, 2021 at 4:17 | history | edited | Parcly Taxel | CC BY-SA 4.0 |
An example
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| Sep 21, 2021 at 22:27 | comment | added | loopy walt | Something like spoiler? | |
| Sep 21, 2021 at 21:22 | history | edited | Parcly Taxel |
edited tags
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| Sep 21, 2021 at 20:33 | history | asked | Parcly Taxel | CC BY-SA 4.0 |