Name
Abstract | ||
|---|---|---|
Abstract A circle \(C\) holds a convex body \(K \subset \mathbb {R}^3\) if \(K\) can’t be moved far away from its position without intersecting \(C\). One of our results says that there is a convex body \(K \subset \mathbb {R}^3\) such that the set of radii of all circles holding \(K\) has infinitely many components. Another result says that the circle is unique in the sense that every frame different from the circle holds a convex body \(K\) (actually a tetrahedron) so that every nontrivial rigid motion of \(K\) intersects the frame. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s00454-013-9549-2 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Frames,Convex bodies,Fixing and holding,Primary 52A15,Secondary 15B40 | Topology,Combinatorics,Rigid motion,Convex body,Radius,Tetrahedron,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 4 | 1432-0444 |
Citations | PageRank | References |
1 | 0.63 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Imre Bárány | 1 | 435 | 95.10 |
| Tudor Zamfirescu | 2 | 77 | 16.85 |