Timeline for Shortest paths on linked tori
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2011 at 23:23 | vote | accept | Joseph O'Rourke | ||
| Jul 21, 2011 at 12:29 | comment | added | Joseph O'Rourke | @Gjergji: Thank you for these insights! One learns when one's intuitions are proved erroneous. :-) | |
| Jul 21, 2011 at 12:11 | comment | added | Gjergji Zaimi | Oh, and with regards to Q2, I guess the moral is "exploit symmetry" :) | |
| Jul 21, 2011 at 11:31 | comment | added | Gjergji Zaimi | No, the shortest path will still be the one point union of two geodesics. The nice thing here is that this problem is about shortest paths on a single surface in disguise (take the plane of $C_2$ and cut both $T_1$ and $T_2$, while keeping the left side of $T_1$ and right side of $T_2$). | |
| Jul 21, 2011 at 11:23 | comment | added | Joseph O'Rourke | @Gjergji: Suppose $p_1$ is leftmost, and $p_2$ is rightmost, in my figure above, i.e., both lie on the planes containing $C_1$ and $C_2$. Would not the path follow arcs on $C_1$ and $C_2$? | |
| Jul 21, 2011 at 10:48 | comment | added | Gjergji Zaimi | Now if I could draw pictures... | |
| Jul 21, 2011 at 10:45 | history | answered | Gjergji Zaimi | CC BY-SA 3.0 |