Timeline for On lattice points "far inside" convex lattice polygons
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Oct 19, 2012 at 22:48 | vote | accept | Cosmin Pohoata | ||
| May 29, 2012 at 21:42 | answer | added | Jan Kyncl | timeline score: 7 | |
| Nov 22, 2011 at 19:49 | history | edited | François G. Dorais |
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| Nov 17, 2011 at 17:56 | comment | added | Joseph O'Rourke | I am still having difficulty understanding the phrase, "the convex polygon bounded by all the diagonals of $P$." In general, there is no convex polygon bounded by all the diagonals, if by "bounded" you mean, "forming the boundary of." There are many convex polygons, each bounded by a subset of the diagonals... | |
| Nov 17, 2011 at 16:16 | comment | added | Gerhard Paseman | Also, the smallest convex lattice pentagon I can think of has only one interior lattice point, and that lies on the boundary of the interior pentagon. Does your result include such a case? Gerhard "Ask Me About System Design" Paseman, 2011.11.17 | |
| Nov 17, 2011 at 16:10 | comment | added | Gerhard Paseman | I was thinking of two diagonals of a 3x1 rectangle, cut off center by a diagonal of a perpendicular 4x1 rectangle, as some diagonals for my cex. Perhaps you can tell me how this fits in with your result? Gerhard "Ask Me About System Design" Paseman, 2011.11.17 | |
| Nov 17, 2011 at 15:23 | comment | added | Cosmin Pohoata | @Fedor: Sorry, it should have read "the convex polygon bounded by all the diagonals of $\mathcal{P}$. | |
| Nov 17, 2011 at 15:23 | history | edited | Cosmin Pohoata | CC BY-SA 3.0 |
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| Nov 17, 2011 at 13:10 | comment | added | Igor Rivin | Yes he does, in the first line. | |
| Nov 17, 2011 at 11:41 | comment | added | Fedor Petrov | What do you mean by "the convex pentagon bounded by (all) the diagonals of P"? usually the do not bound a pentagon. | |
| Nov 17, 2011 at 10:07 | comment | added | Gerhard Paseman | I suspect there are simple counterexamples for n=6, so I may be misunderstanding something. Can you say more about what interior region is supposed to have a lattice point? Gerhard "Ask Me About System Design" Paseman, 2011.11.17 | |
| Nov 17, 2011 at 9:26 | history | edited | Cosmin Pohoata | CC BY-SA 3.0 |
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| Nov 17, 2011 at 7:17 | history | asked | Cosmin Pohoata | CC BY-SA 3.0 |