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dc.contributorMarković, Biserka
dc.creatorMišić, Slobodan
dc.creatorObradović, Marija
dc.date.accessioned2020-08-06T07:30:35Z
dc.date.available2020-08-06T07:30:35Z
dc.date.issued2008-09
dc.identifier.isbn978-86-80295-83-1
dc.identifier.urihttp://grafar.grf.bg.ac.rs/handle/123456789/2040
dc.description.abstractPredmet istraživanja je konstruktivno geometrijska geneza novih geometrijskih tela, kupola sa konkavnim poliedarskim površima, koje bi korišćenjem pravilnih n-tougaonika u svojoj mreži, obrazovale zatvorene prostorne celine. Ove poliedarske forme – kupole, za polazne ntougaonike imaju jedanaestougaonik i dvadesetdvougaonik u paralelnim horizontalnim ravnima. Način formiranja ovakve kupole zasniva se na nabiranju mreže koja obrazuje traku, a presavijanjem iste dobija se deltaedarski omotač koji čine nizovi pravilnih poligona – jednakostraničnih trouglova. Za geometrijsko određivanje osnovnih parametara tela korišćeni su preseci pramenova lopti sa centrima u karakterističnim tačkama prostornog sedmostranika ABCDEFG kao osnovne ćelije kupole nad hendekagonalnom osnovom. Objašnjene su geometrijske konstrukcije i projekcioni postupci pomoću kojih je moguće prikazati kupolu nad hendekagonalnom osnovom, kroz pronalaženje međusobnih relacija parametara, dimenzija i elemenata samog tela.sr
dc.description.abstractThe subject of the research is the constructive geometric genesis of new geometric solids, domes with concave polyhedral surfaces, which, by using regular n-gons in their net, would form closed spatial units. These polyhedral forms - cupolae, for the starting n-gons have a hendecagon (eleven sided polygon) and doicosagon (twenty two sided polygon) in parallel horizontal planes. The way of forming such a cupola is based on the folding the planar triangular net that forms the strip, so that a delta-shaped shell is obtained. It consists of rows of regular polygons - equilateral triangles. To geometrically determine the basic parameters of the solid, the cross sections of spheres with centers at the characteristic points of the spatial heptagon ABCDEFG were used as the basic cells of the cupola with the hendecagonal base. Geometric constructions and projection procedures are explained, by means of which it is possible to obtain the cupola over the hendecagonal base, through finding the mutual relations of parameters, dimensions and elements of the solid itself.sr
dc.language.isosrsr
dc.publisherNiš: Faculty of Architecture and Civil Engineering in Niš; Serbian Society for Geometry and Graphics (SUGIG)sr
dc.relationinfo:eu-repo/grantAgreement/MESTD/MPN2006-2010/16009/RS//sr
dc.rightsopenAccesssr
dc.sourceProccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008)sr
dc.subjectpoliedarsr
dc.subjectkupolasr
dc.subjectjedanaestougaoniksr
dc.subjectloptasr
dc.subjectmrežasr
dc.subjectpolyhedronsr
dc.subjectcupolasr
dc.subjecthendecagonsr
dc.subjectspheresr
dc.subjecttriangular netsr
dc.titleKonkavna kupola nad hendekagonalnom osnovomsr
dc.typeconferenceObjectsr
dc.rights.licenseARRsr
dc.rights.holderFaculty of Architecture and Civil Engineering in Niš; Serbian Society for Geometry and Graphics (SUGIG)sr
dc.citation.epage178
dc.citation.spage169
dc.description.otherhttp://mongeometrija.com/zbornici/2008/284-slobodan-mii-marija-obradovi-konkavna-kupola-nad-hendekagonalnom-osnovomsr
dc.identifier.fulltexthttp://grafar.grf.bg.ac.rs/bitstream/id/7783/bitstream_7783.pdf
dc.type.versionpublishedVersionsr


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