On the properties of the concave antiprisms of second sort
The paper examines geometrical, static and dynamic properties of the polyhedral structures obtained by folding and creasing the two-rowed segment of equilateral triangular net. Bases of these concave polyhedra are regular, identical polygons in parallel planes, connected by the alternating series of...
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University of Belgrade - Faculty of Mechanical Engineering, Belgrade
2013-01-01
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| Series: | FME Transactions |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921303256O.pdf |
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doaj-35d536d6d7524c2598025c4803c43e342021-03-23T14:05:47ZengUniversity of Belgrade - Faculty of Mechanical Engineering, BelgradeFME Transactions1451-20922406-128X2013-01-014132562631451-20921303256OOn the properties of the concave antiprisms of second sortObradović Marija0Popkonstantinović B.1https://orcid.org/0000-0001-9278-7848Mišić S.2Faculty of Civil Engineering Department of Mathematics, Physics and Descriptive geometry, Belgrade, SerbiaFaculty of Mechanical Engineering, Department of Machine Theory and Mechanisms, Belgrade, SerbiaFaculty of Civil Engineering, Department of Mathematics, Physics and Descriptive geometry, Belgrade, SerbiaThe paper examines geometrical, static and dynamic properties of the polyhedral structures obtained by folding and creasing the two-rowed segment of equilateral triangular net. Bases of these concave polyhedra are regular, identical polygons in parallel planes, connected by the alternating series of triangles, as in the case of convex antiprisms. There are two ways of folding such a net, and therefore the two types of concave antiprisms of second sort. The paper discusses the methods of obtaining the accurate position of the vertices and other linear parameters of these polyhedra, with the use of mathematical algorithm. Structural analysis of a representative of these polyhedra is presented using the SolidWorks program applications.https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921303256O.pdfpolyhedronconcaveequilateral trianglehexahedral element |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Obradović Marija Popkonstantinović B. Mišić S. |
| spellingShingle |
Obradović Marija Popkonstantinović B. Mišić S. On the properties of the concave antiprisms of second sort FME Transactions polyhedron concave equilateral triangle hexahedral element |
| author_facet |
Obradović Marija Popkonstantinović B. Mišić S. |
| author_sort |
Obradović Marija |
| title |
On the properties of the concave antiprisms of second sort |
| title_short |
On the properties of the concave antiprisms of second sort |
| title_full |
On the properties of the concave antiprisms of second sort |
| title_fullStr |
On the properties of the concave antiprisms of second sort |
| title_full_unstemmed |
On the properties of the concave antiprisms of second sort |
| title_sort |
on the properties of the concave antiprisms of second sort |
| publisher |
University of Belgrade - Faculty of Mechanical Engineering, Belgrade |
| series |
FME Transactions |
| issn |
1451-2092 2406-128X |
| publishDate |
2013-01-01 |
| description |
The paper examines geometrical, static and dynamic properties of the polyhedral structures obtained by folding and creasing the two-rowed segment of equilateral triangular net. Bases of these concave polyhedra are regular, identical polygons in parallel planes, connected by the alternating series of triangles, as in the case of convex antiprisms. There are two ways of folding such a net, and therefore the two types of concave antiprisms of second sort. The paper discusses the methods of obtaining the accurate position of the vertices and other linear parameters of these polyhedra, with the use of mathematical algorithm. Structural analysis of a representative of these polyhedra is presented using the SolidWorks program applications. |
| topic |
polyhedron concave equilateral triangle hexahedral element |
| url |
https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921303256O.pdf |
| work_keys_str_mv |
AT obradovicmarija onthepropertiesoftheconcaveantiprismsofsecondsort AT popkonstantinovicb onthepropertiesoftheconcaveantiprismsofsecondsort AT misics onthepropertiesoftheconcaveantiprismsofsecondsort |
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1724206081433927680 |