Name
Abstract | ||
|---|---|---|
Consider all geodesics between two given points on a polyhedron. On the regular tetrahedron, we describe all the geodesics from a vertex to a point, which could be another vertex. Using the SternBrocot tree to explore the recursive structure of geodesics between vertices on a cube, we prove, in some precise sense, that there are twice as many geodesics between certain pairs of vertices than other pairs. We also obtain the fact that there are no geodesics that start and end at the same vertex on the regular tetrahedron or the cube. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.disc.2016.07.004 | Discrete Mathematics |
Keywords | Field | DocType |
Geodesic,Cube,Regular tetrahedron,Stern–Brocot tree | Disphenoid,Discrete mathematics,Combinatorics,Vertex (geometry),Polyhedron,Stern–Brocot tree,Trirectangular tetrahedron,Tetrahedron,Mathematics,Geodesic,Cube | Journal |
Volume | Issue | ISSN |
340 | 1 | 0012-365X |
Citations | PageRank | References |
1 | 0.63 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Diana Davis | 1 | 1 | 0.63 |
| Victor Dods | 2 | 1 | 0.63 |
| Cynthia Traub | 3 | 1 | 0.63 |
| Jed Yang | 4 | 17 | 3.04 |