Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653173 | European Journal of Combinatorics | 2017 | 6 Pages |
Abstract
Let XX be an infinite set in RdRd that has no accumulation point. We prove that the following statement holds for each dd-dimensional polyhedron ΠΠ, i.e., for each bounded part of RdRd generated by a closed polyhedral surface: for any positive integer nn, there is a polyhedron similar to ΠΠ that contains exactly nn points taken from XX.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hiroshi Maehara, Horst Martini,