Timeline for How can you compute the maximum volume of an envelope(used to enclose a letter)?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Jan 23, 2023 at 9:10 | comment | added | Daniel Castro | @JosephO'Rourke Thank you. Very surprisingly, there is no other paper or book reproducing Robin's calculation of the formula shown in MathWorld. | |
| Jan 22, 2023 at 18:27 | comment | added | Joseph O'Rourke | @DanielCastro: I also can no longer find that article. Try instead: Pak, Igor. "Inflating polyhedral surfaces." Preprint, Department of Mathematics, MIT 326 (2006). This includes the image I posted, in Fig. 18 (detail) | |
| Jan 22, 2023 at 15:20 | comment | added | Daniel Castro | @JosephO'Rourke It has been impossible to find Anthony Robin's work on the web. Do you have a link or name of data base where it can be located ? Thank you. | |
| Jul 27, 2018 at 22:59 | vote | accept | Victor Stone | ||
| Dec 23, 2016 at 21:05 | vote | accept | Victor Stone | ||
| Jul 27, 2018 at 22:58 | |||||
| Jan 3, 2016 at 16:18 | comment | added | Victor Stone | Good find, that you @JosephO'Rourke, I had no idea it was quite this complex. It seems that the problem I'm asking about should be the same as if you were to cut the teabag in half. At least that what it seems like based on the image. | |
| Jan 2, 2016 at 7:16 | comment | added | Manfred Weis | I am missing the differential geometric aspect of the problem, namely that the underlying coordinate transformation must be length-preserving along the "lines" of the coordinate net. As a smooth isometric deformation is not possible (originally the Gauss curvature is zero for both sheets and non-zero afterwards) a true solution would be piecewise linear. I remember having seen an article about such polyhedra in the German version of Scientific American but it will take me some time to unearth that source. | |
| Jan 2, 2016 at 3:49 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Some references added.
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| Jan 2, 2016 at 1:34 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
added 203 characters in body
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| Jan 1, 2016 at 14:22 | comment | added | Joseph O'Rourke | Tangentially related: "Maximum volume convex body coverable by a unit square". | |
| Jan 1, 2016 at 13:14 | comment | added | ARi | The volume seems to be irrational as per the Wikipedia article but the surface area can be assumed as rational...the inflated teabag seems to be an interesting solid in this regard. | |
| Dec 31, 2015 at 21:15 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Reduced image size.
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| Dec 31, 2015 at 20:51 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |