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https://rfos.fon.bg.ac.rs/handle/123456789/1374| Title: | On 3-triangulation of toroids | Authors: | Stojanović, Milica | Keywords: | triangulation of polyhedra;toroids;piecewise convex polyhedra | Issue Date: | 2015 | Publisher: | Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš | Abstract: | As toroid (polyhedral torus) could not be convex, it is questionable if it is possible to 3-triangulate them (i.e. divide into tetrahedra with the original vertices). Here, we will discuss some examples of toroids to show that for each vertex number n >= 7, there exists a toroid for which triangulation is possible. Also we will study the necessary number of tetrahedra for the minimal triangulation. | URI: | https://rfos.fon.bg.ac.rs/handle/123456789/1374 | ISSN: | 0354-5180 |
| Appears in Collections: | Radovi istraživača / Researchers’ publications |
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