Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron
Authors
Obradović, Marija
Stavrić, Milena
Wiltsche, Albert
Contributors
Rašuo, BoškoStevanović, Vladimir
Sedmak, Simon
Popkonstantinović, Branislav
Article (Published version)

Faculty of Mechanical Engineering, Belgrade
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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 / incavationSource:
FME Transactions, 2017, 45, 2, 256-261Publisher:
- Beograd:University of Belgrade, Faculty of Mechanical Engineering
Funding / 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
Scopus: 2-s2.0-85016239203
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GraFarTY - JOUR AU - Obradović, Marija AU - Stavrić, Milena AU - Wiltsche, Albert PY - 2017 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1929 AB - 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. PB - Beograd:University of Belgrade, Faculty of Mechanical Engineering T2 - FME Transactions T1 - Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron EP - 261 IS - 2 SP - 256 VL - 45 DO - 10.5937/fmet1702256O ER -
@article{ author = "Obradović, Marija and Stavrić, Milena and Wiltsche, Albert", year = "2017", 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.", publisher = "Beograd:University of Belgrade, Faculty of Mechanical Engineering", journal = "FME Transactions", title = "Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron", pages = "261-256", number = "2", volume = "45", doi = "10.5937/fmet1702256O" }
Obradović, M., Stavrić, M.,& Wiltsche, A.. (2017). Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron. in FME Transactions Beograd:University of Belgrade, Faculty of Mechanical Engineering., 45(2), 256-261. https://doi.org/10.5937/fmet1702256O
Obradović M, Stavrić M, Wiltsche A. Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron. in FME Transactions. 2017;45(2):256-261. doi:10.5937/fmet1702256O .
Obradović, Marija, Stavrić, Milena, Wiltsche, Albert, "Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron" in FME Transactions, 45, no. 2 (2017):256-261, https://doi.org/10.5937/fmet1702256O . .