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Polyhedral forms obtained by combinig lateral sheet of CP II-10 and truncated dodecahedron
Poliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedra
dc.creator | Obradović, Marija | |
dc.creator | Stavrić, Milena | |
dc.creator | Wiltsche, Albert | |
dc.date.accessioned | 2019-04-19T14:28:29Z | |
dc.date.available | 2019-04-19T14:28:29Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1451-2092 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/890 | |
dc.description.abstract | The paper analyzes the possibility of obtaining polyhedral shapes formed by combining polyhedral surfaces based on the segment surface of elongated concave pyramids of the second sort (CeP II-10, type A and type B). In previous research, CP II type A and CP II type B were elaborated in detail. In this paper we discuss further potential of these polyhedral surfaces, on the example of combining them with Archimedean solid - Truncated dodecahedron (U26). The faces of this solid consist of 12 decagons and 20 triangles. On the decagonal faces, decagonal polygons of the CeP II segments (C̅P II-10) can be added, which provides the new polyhedral composite forms that are, furthermore, concave deltahedra. There are considered possibilities of obtaining polyhedral shapes by combining sheet segments C̅P II-10-A, as well as of C̅P II-10-B with U26. Finally, a couple of new shape suggestions are given: compound polyhedra, obtained by intersection of paired composite concave polyhedra originated in the described manner. | en |
dc.description.abstract | U radu se analizira mogućnost dobijanja složenih poliedarskih oblika kombinovanjem segmenata elongiranih konkavnih piramida druge vrste (CeP II-10, tip A i tip B). U prethodnim istraživanjima, CP II su detaljno obrađeni. Istražuje se dalji potencijal ovih poliedarskih površi, na primeru njihovog spajanja sa Arhimedovim telom, zarubljenim dodekaedrom čije se strane sastoje od dekagona i trouglova. Na dekagonalne strane ovog tela dodajemo podudarne poligone poliedarskih segmenata (C̅P II-10), čime dobijamo nove forme konkavnih kompozitnih poliedara, kao i mogućnost njihovog daljeg preklapanja u poliedarska jedinjenja. | sr |
dc.publisher | Univerzitet u Beogradu - Mašinski fakultet, Beograd | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/44006/RS// | |
dc.rights | openAccess | |
dc.source | FME Transactions | |
dc.subject | concave polyhedra | en |
dc.subject | composite polyhedra | en |
dc.subject | truncated dodecahedron | en |
dc.subject | C̅P II-10 | en |
dc.subject | augmentation | en |
dc.subject | incavation | en |
dc.title | Polyhedral forms obtained by combinig lateral sheet of CP II-10 and truncated dodecahedron | en |
dc.title | Poliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedra | sr |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 261 | |
dc.citation.issue | 2 | |
dc.citation.other | 45(2): 256-261 | |
dc.citation.rank | M24 | |
dc.citation.spage | 256 | |
dc.citation.volume | 45 | |
dc.identifier.doi | 10.5937/fmet1702256O | |
dc.identifier.fulltext | https://grafar.grf.bg.ac.rs//bitstream/id/4258/888.pdf | |
dc.identifier.scopus | 2-s2.0-85016239203 | |
dc.identifier.wos | 000408082400010 | |
dc.type.version | publishedVersion |