n-bathycenters |
| |
Authors: | Bruce Hedman |
| |
Institution: | (1) 2625 Graduate College, Princeton University, 08540 Princeton, New Jersey, U.S.A. |
| |
Abstract: | Does there exist a polygon with the property that for a suitable point p in the plane every ray with endpoint p intersects the polygon in exactly n connected components? Does there exist a polygon with the property that there are two such points, or three, or a segment of such points? For polygon P call a point p with the property that every ray from p intersects P in exactly n connected components n-isobathic with respect to P. Define the n-bathycenter of a polygon P as the set of all points p that are n-isobathic with respect to P. Further define a set S to be an n-bathycenter if there exists a polygon P of which S is the n-bathycenter. This paper deals with the characterization of 2- and 3-bathycenters, together with some results on the general case. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|