Timeline for When is it possible to "shrink" a polyhedron?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 16, 2015 at 1:06 | comment | added | Joseph O'Rourke | @EtienneVouga: Thank you, that helps. | |
| May 15, 2015 at 21:35 | comment | added | Etienne Vouga | Certainly; I've attempted to define the problem more precisely above. Please let me know if parts are still unclear. | |
| May 15, 2015 at 19:07 | comment | added | Joseph O'Rourke | Yes, the combinatorial type changes. It would help me if you could articulate your definition of exactly what you seek. (Your polyhedral torus example can be viewed as shrinking via the straight skeleton.) | |
| May 15, 2015 at 16:24 | comment | added | Etienne Vouga | Thanks for the pointer -- offsetting the faces does work in 2D, and in 3D for some cases, such as when all vertices have valence three. But in general, offsetting the faces changes the combinatorial type of the polyhedron | |
| May 15, 2015 at 12:06 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Grammar. Download link.
|
| May 15, 2015 at 11:40 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |