TY  - 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 . .

TY  - JOUR
AU  - Obradović, Marija
AU  - Stavrić, Milena
AU  - Wiltsche, Albert
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/890
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 (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.
AB  - U 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.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Polyhedral forms obtained by combinig lateral sheet of CP II-10 and truncated dodecahedron
T1  - Poliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedra
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 (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., U 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.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Polyhedral forms obtained by combinig lateral sheet of CP II-10 and truncated dodecahedron, Poliedarske forme nastale spajanjem omotača CP II-10 i zarubljenog dodekaedra",
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
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 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 . .