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Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron

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2017
Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron (1.150Mb)
Authors
Obradović, Marija
Stavrić, Milena
Wiltsche, Albert
Contributors
Rašuo, Boško
Stevanović, Vladimir
Sedmak, Simon
Popkonstantinović, Branislav
Article (Published version)
,
Faculty of Mechanical Engineering, Belgrade
Metadata
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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 (CP 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 CP II-10-A, as well as of CP 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.

Keywords:
concave polyhedra / composite polyhedra / truncated dodecahedron / CP II-10 / augmentation / incavation
Source:
FME Transactions, 2017, 45, 2, 256-261
Publisher:
  • Beograd:University of Belgrade, Faculty of Mechanical Engineering
Projects:
  • Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (III44006) - MПНТР
Note:
  • https://www.mas.bg.ac.rs/_media/istrazivanje/fme/vol45/2/contents_fme_vol_45_no_2.pdf [https://www.mas.bg.ac.rs/istrazivanje/fme/start]

DOI: 10.5937/fmet1702256O

ISSN: 1451-2092

WoS: 000408082400010

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URI
http://grafar.grf.bg.ac.rs/handle/123456789/1929
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  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
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