Timeline for A taut string of equilateral triangles
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 31, 2014 at 16:48 | comment | added | Mirko | It might be relevant to specify where exactly the green arrows at the end are attached, since the ends are not points, but do have thickness. Steel has weight, so then the catenary shape gets involved (this might be irrelevant for taut chains). Finally, I have no reason to believe that what looks like two dashed parallel straight lines (one of blue triangle sides, the other of red triangle sides) would indeed be straight (or if the pieces would be parallel), in particular if the chain has only two or only three triangles (perhaps start with this case). | |
| Oct 7, 2014 at 16:28 | comment | added | hoj201 | Perhaps consider approximating the "no crossing" condition with a smooth repulsive potential energy. Also approximate the tautness with an energy which grows with the total length. See what if anything can be said when limits of infinite stiffness are taken. Tge solution should minimize these energies | |
| Oct 7, 2014 at 15:04 | comment | added | The Masked Avenger | As for real life examples, you might search for necklace or bracelet images on the web. | |
| Oct 7, 2014 at 14:59 | comment | added | The Masked Avenger | My experience suggests that one does not get a linear configuration as pictured, but has several kinks. Perhaps one gets 175 degrees between adjacent triangles instead of the pictured 180. | |
| Oct 7, 2014 at 12:27 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |