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dc.contributorViana, Vera
dc.contributorMatos, Helena Mena
dc.contributorXavier, João Pedro
dc.creatorObradović, Marija
dc.creatorMišić, Slobodan
dc.date.accessioned2022-08-30T06:30:52Z
dc.date.available2022-08-30T06:30:52Z
dc.date.issued2022
dc.identifier.isbnOnline: 978-3-030-99116-6
dc.identifier.isbnPrint: 978-3-030-99115-9
dc.identifier.urihttps://grafar.grf.bg.ac.rs/handle/123456789/2698
dc.description.abstractFinding a possibility to create unique polyhedral surfaces with such specific geometric regularities as the congruence of faces, a high level of symmetry and the ability to describe an infinite polyhedron, served as a starting point for the explorations in this study. Such surfaces can be obtained through a single element, the equilateral triangle, given that they are deltahedral. Here, we will focus on deltahedral rings composed of fragments of the concave antiprisms of the second sort, type major, that we identify as CA-II-n.M. This paper shows not only that it is possible to close a full ring using fragments of selected CA-II-n.M, but also that we can predict the shape of the ring depending on the number of sides of the base-polygon {n} within the chosen CA-II-n.M. The number of solutions obtained for each CA-II-n.M’s representative depends on n and can vary from 1 to 5, out of 8 possible solutions.sr
dc.language.isoensr
dc.publisherBirkhäuser, Cham, 2022sr
dc.relationinfo:eu-repo/grantAgreement/MESTD/inst-2020/200092/RS//sr
dc.rightsrestrictedAccesssr
dc.sourcePolyhedra and Beyondsr
dc.subjectAntiprismsr
dc.subjectDeltahedronsr
dc.subjectConcavesr
dc.subjectRingsr
dc.titleConcave Deltahedral Rings Based on the Geometry of Concave Antiprisms of the Second Sortsr
dc.typebookPartsr
dc.rights.licenseARRsr
dc.rights.holderSpringer Nature Switzerland AGsr
dc.citation.epage68
dc.citation.spage53
dc.description.otherhttps://link.springer.com/chapter/10.1007/978-3-030-99116-6_4#citeassr
dc.identifier.doi10.1007/978-3-030-99116-6_4
dc.type.versionpublishedVersionsr


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