2-toroids and their 3-triangulation
Апстракт
It is known that we can always 3-triangulate (i.e. divide into tetrahedra) convex polyhedra but not always non-convex polyhedra. Here we discuss possibilities and properties of 3-triangulation of 2-toroids, i.e. polyhedra topologically equivalent to sphere with 2 handles, and develop the concepts of piecewise convex polyhedra and graph of connection.
Кључне речи:
triangulation of polyhedra / toroids / piecewise convex polyhedraИзвор:
Kragujevac Journal of Mathematics, 2017, 41, 2, 203-217Издавач:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
DOI: 10.5937/KgJMath1702203S
ISSN: 1450-9628
WoS: 000423968800003
Scopus: 2-s2.0-85037843564
Институција/група
Fakultet organizacionih naukaTY - JOUR AU - Stojanović, Milica PY - 2017 UR - https://rfos.fon.bg.ac.rs/handle/123456789/1675 AB - It is known that we can always 3-triangulate (i.e. divide into tetrahedra) convex polyhedra but not always non-convex polyhedra. Here we discuss possibilities and properties of 3-triangulation of 2-toroids, i.e. polyhedra topologically equivalent to sphere with 2 handles, and develop the concepts of piecewise convex polyhedra and graph of connection. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - 2-toroids and their 3-triangulation EP - 217 IS - 2 SP - 203 VL - 41 DO - 10.5937/KgJMath1702203S UR - conv_531 ER -
@article{ author = "Stojanović, Milica", year = "2017", abstract = "It is known that we can always 3-triangulate (i.e. divide into tetrahedra) convex polyhedra but not always non-convex polyhedra. Here we discuss possibilities and properties of 3-triangulation of 2-toroids, i.e. polyhedra topologically equivalent to sphere with 2 handles, and develop the concepts of piecewise convex polyhedra and graph of connection.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "2-toroids and their 3-triangulation", pages = "217-203", number = "2", volume = "41", doi = "10.5937/KgJMath1702203S", url = "conv_531" }
Stojanović, M.. (2017). 2-toroids and their 3-triangulation. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac., 41(2), 203-217. https://doi.org/10.5937/KgJMath1702203S conv_531
Stojanović M. 2-toroids and their 3-triangulation. in Kragujevac Journal of Mathematics. 2017;41(2):203-217. doi:10.5937/KgJMath1702203S conv_531 .
Stojanović, Milica, "2-toroids and their 3-triangulation" in Kragujevac Journal of Mathematics, 41, no. 2 (2017):203-217, https://doi.org/10.5937/KgJMath1702203S ., conv_531 .