Pravilne konkavne kupole druge vrste
2006
Преузимање 🢃
Конференцијски прилог (Објављена верзија)
,
Fakultet tehničkih nauka u Novom Sadu
Метаподаци
Приказ свих података о документуАпстракт
The term cupola stands for a polyhedron consisting of two regular polygons: n-gon and 2n-gon in parallel planes, connected by an alternating series of squares and equilateral triangles, ie. Johnsonsolids J3, J4 and J5. However, it is possible to form such a cupola that would have a polygon with n ≥ 6 as the starting n-gon, and whose lateral surface is formed by rows of equilateral triangles, constituting a nonconvex polyhedron. The method of forming such a cupola is based on the folding of a net of m x n triangles that form a strip, by whose folding the
deltahedral surface is obtained. The cupolae formed by folding the net consisting of two rows of equilateral triangles (with total of 7xn triangles in the lateral surface) are described, and are therefore called cupolae of the second sort, which can have starting polygons from n = 4, to n = 10. The basic parameters of these solids and their geometric interpretation are also given in the paper.
Pod pojmom kupole podrazumeva se poliedar koji se sastoji od dva pravilna poligona: n-tougaonika i 2n-tougaonika u paralelnim ravnima, povezanih naizmenicnim nizom kvadrata i jednakostranicnih trouglova, odn. Dzonsonova tela J3, J4 i J5. Medjutim, moguce je formirati i takvu kupolu koja bi za polazni ntougaonik imala i poligon kod kojeg je n ≥ 6, a ciji bi omotac cinili
nizovi jednakostranicnih trouglova, formirajuci pri tome nekonveksni poledar. Nacin formiranja ovakve kupole zasniva se na nabiranju mreze od mxn trouglova koja obrazuje traku, cijim
se presavijanjem dobija deltaedarski omotac. Opisane su kupole koje nastaju nabiranjem omotaca koji se sastoji od dva niza (7xn) jednakostranicnih trouglova, te su zato nazvane kupolama druge vrste i koje mogu imati polazne poligone od n=4, do n=10. Dati su i osnovni parametri ovih tela i njihovo geometrijsko tumacenje.
Кључне речи:
poliedar / poligon / kupola / mreža / omotač / polyhedron / polygon / cupola / triangular net / lateral surfaceИзвор:
Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006, 2006, 159-176Издавач:
- Novi Sad: Fakultet tehničkih nauka
Напомена:
- http://mongeometrija.com/zbornici/2006/340-obradovi-pravilne-konkavne-kupole-druge-vrste
Колекције
Институција/група
GraFarTY - CONF AU - Obradović, Marija PY - 2006 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2037 AB - The term cupola stands for a polyhedron consisting of two regular polygons: n-gon and 2n-gon in parallel planes, connected by an alternating series of squares and equilateral triangles, ie. Johnsonsolids J3, J4 and J5. However, it is possible to form such a cupola that would have a polygon with n ≥ 6 as the starting n-gon, and whose lateral surface is formed by rows of equilateral triangles, constituting a nonconvex polyhedron. The method of forming such a cupola is based on the folding of a net of m x n triangles that form a strip, by whose folding the deltahedral surface is obtained. The cupolae formed by folding the net consisting of two rows of equilateral triangles (with total of 7xn triangles in the lateral surface) are described, and are therefore called cupolae of the second sort, which can have starting polygons from n = 4, to n = 10. The basic parameters of these solids and their geometric interpretation are also given in the paper. AB - Pod pojmom kupole podrazumeva se poliedar koji se sastoji od dva pravilna poligona: n-tougaonika i 2n-tougaonika u paralelnim ravnima, povezanih naizmenicnim nizom kvadrata i jednakostranicnih trouglova, odn. Dzonsonova tela J3, J4 i J5. Medjutim, moguce je formirati i takvu kupolu koja bi za polazni ntougaonik imala i poligon kod kojeg je n ≥ 6, a ciji bi omotac cinili nizovi jednakostranicnih trouglova, formirajuci pri tome nekonveksni poledar. Nacin formiranja ovakve kupole zasniva se na nabiranju mreze od mxn trouglova koja obrazuje traku, cijim se presavijanjem dobija deltaedarski omotac. Opisane su kupole koje nastaju nabiranjem omotaca koji se sastoji od dva niza (7xn) jednakostranicnih trouglova, te su zato nazvane kupolama druge vrste i koje mogu imati polazne poligone od n=4, do n=10. Dati su i osnovni parametri ovih tela i njihovo geometrijsko tumacenje. PB - Novi Sad: Fakultet tehničkih nauka C3 - Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006 T1 - Pravilne konkavne kupole druge vrste EP - 176 SP - 159 UR - https://hdl.handle.net/21.15107/rcub_grafar_2037 ER -
@conference{ author = "Obradović, Marija", year = "2006", abstract = "The term cupola stands for a polyhedron consisting of two regular polygons: n-gon and 2n-gon in parallel planes, connected by an alternating series of squares and equilateral triangles, ie. Johnsonsolids J3, J4 and J5. However, it is possible to form such a cupola that would have a polygon with n ≥ 6 as the starting n-gon, and whose lateral surface is formed by rows of equilateral triangles, constituting a nonconvex polyhedron. The method of forming such a cupola is based on the folding of a net of m x n triangles that form a strip, by whose folding the deltahedral surface is obtained. The cupolae formed by folding the net consisting of two rows of equilateral triangles (with total of 7xn triangles in the lateral surface) are described, and are therefore called cupolae of the second sort, which can have starting polygons from n = 4, to n = 10. The basic parameters of these solids and their geometric interpretation are also given in the paper., Pod pojmom kupole podrazumeva se poliedar koji se sastoji od dva pravilna poligona: n-tougaonika i 2n-tougaonika u paralelnim ravnima, povezanih naizmenicnim nizom kvadrata i jednakostranicnih trouglova, odn. Dzonsonova tela J3, J4 i J5. Medjutim, moguce je formirati i takvu kupolu koja bi za polazni ntougaonik imala i poligon kod kojeg je n ≥ 6, a ciji bi omotac cinili nizovi jednakostranicnih trouglova, formirajuci pri tome nekonveksni poledar. Nacin formiranja ovakve kupole zasniva se na nabiranju mreze od mxn trouglova koja obrazuje traku, cijim se presavijanjem dobija deltaedarski omotac. Opisane su kupole koje nastaju nabiranjem omotaca koji se sastoji od dva niza (7xn) jednakostranicnih trouglova, te su zato nazvane kupolama druge vrste i koje mogu imati polazne poligone od n=4, do n=10. Dati su i osnovni parametri ovih tela i njihovo geometrijsko tumacenje.", publisher = "Novi Sad: Fakultet tehničkih nauka", journal = "Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006", title = "Pravilne konkavne kupole druge vrste", pages = "176-159", url = "https://hdl.handle.net/21.15107/rcub_grafar_2037" }
Obradović, M.. (2006). Pravilne konkavne kupole druge vrste. in Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006 Novi Sad: Fakultet tehničkih nauka., 159-176. https://hdl.handle.net/21.15107/rcub_grafar_2037
Obradović M. Pravilne konkavne kupole druge vrste. in Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006. 2006;:159-176. https://hdl.handle.net/21.15107/rcub_grafar_2037 .
Obradović, Marija, "Pravilne konkavne kupole druge vrste" in Zbornik radova - XXIII konferencija za nacrtnu geometriju i inženjersku grafiku - MoNGeometrija 2006 (2006):159-176, https://hdl.handle.net/21.15107/rcub_grafar_2037 .