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Poliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedra

dc.creatorObradović, Marija
dc.creatorStavrić, Milena
dc.creatorWiltsche, Albert
dc.date.accessioned2019-04-19T14:28:29Z
dc.date.available2019-04-19T14:28:29Z
dc.date.issued2017
dc.identifier.issn1451-2092
dc.identifier.urihttps://grafar.grf.bg.ac.rs/handle/123456789/890
dc.description.abstractThe 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.abstractU 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.publisherUniverzitet u Beogradu - Mašinski fakultet, Beograd
dc.relationinfo:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/44006/RS//
dc.rightsopenAccess
dc.sourceFME Transactions
dc.subjectconcave polyhedraen
dc.subjectcomposite polyhedraen
dc.subjecttruncated dodecahedronen
dc.subjectC̅P II-10en
dc.subjectaugmentationen
dc.subjectincavationen
dc.titlePolyhedral forms obtained by combinig lateral sheet of CP II-10 and truncated dodecahedronen
dc.titlePoliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedrasr
dc.typearticle
dc.rights.licenseARR
dc.citation.epage261
dc.citation.issue2
dc.citation.other45(2): 256-261
dc.citation.rankM24
dc.citation.spage256
dc.citation.volume45
dc.identifier.doi10.5937/fmet1702256O
dc.identifier.fulltexthttps://grafar.grf.bg.ac.rs//bitstream/id/4258/888.pdf
dc.identifier.scopus2-s2.0-85016239203
dc.identifier.wos000408082400010
dc.type.versionpublishedVersion


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