TY  - CONF
AU  - Devetaković, Mirjana
AU  - Ivanović, Jelena
AU  - Djordjević, Djordje
AU  - Popović, Nikola
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/2148
AB  - In this study, we present and analyse the case of the Workshop titled “A Geometric Adven ture in the World of Grasshopper”, realised in September 2023, at the University of Belgrade,
Faculty of Architecture, within the manifestation called “The Week with Architecture”. The
content of the Workshop has been derived from the elective course “Parametric Modelling”,
offered to the first year master students.
After briefly explaining the teaching context in which the Workshop occurred, we present
the content structure divided into four working days, three of which dedicated to introducing
various programming techniques in the Rhino software and its well-known plug-in Grasshop per, and the fourth day left for the Workshop exhibition completing. Aimed at introducing
programming beginners into basic techniques of algorithmic creation of architectural form,
this Workshop started with an in-house developed Grasshopper definition producing various
2D geometric patterns. Based on this simple definition the students learned the fundamental
elements of the visual algorithmic systems. As a result of first day they produced a range of
different geometric patterns based on the p1 symmetry repetition of circles and polygons on a
predefined rectangular grid. The second day of the Workshop was dedicated to the geometry
of spatial curves, and required from the participating students considerably more programming
understanding and an additional research of the field. The third Workshop day was character ized by an integration of the techniques of the first and the second Workshop day. In this final
programming exercise the participants had to use the geometric grid, in terms of distribution
of a chosen spatial curve.
This teaching activity resulted in excellent geometric models created by participating stu dents, exhibited in the form of prints, the last day of the Workshop. All the Workshop commu nication and information exchange was supported and saved in the specially created TEAMS
learning environment. A catalogue of student submissions is in the process of creation. The
Workshop influenced the teaching of the Elective course “Parametric modelling” in terms of
introducing new topics and rearranging selected teaching activities.
PB  - Pollack Press, Faculty of Engineering and Information Technology University of Péc
C3  - Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs
T1  - Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop
UR  - https://hdl.handle.net/21.15107/rcub_raf_2148
ER  - 

@conference{
author = "Devetaković, Mirjana and Ivanović, Jelena and Djordjević, Djordje and Popović, Nikola",
year = "2023",
abstract = "In this study, we present and analyse the case of the Workshop titled “A Geometric Adven ture in the World of Grasshopper”, realised in September 2023, at the University of Belgrade,
Faculty of Architecture, within the manifestation called “The Week with Architecture”. The
content of the Workshop has been derived from the elective course “Parametric Modelling”,
offered to the first year master students.
After briefly explaining the teaching context in which the Workshop occurred, we present
the content structure divided into four working days, three of which dedicated to introducing
various programming techniques in the Rhino software and its well-known plug-in Grasshop per, and the fourth day left for the Workshop exhibition completing. Aimed at introducing
programming beginners into basic techniques of algorithmic creation of architectural form,
this Workshop started with an in-house developed Grasshopper definition producing various
2D geometric patterns. Based on this simple definition the students learned the fundamental
elements of the visual algorithmic systems. As a result of first day they produced a range of
different geometric patterns based on the p1 symmetry repetition of circles and polygons on a
predefined rectangular grid. The second day of the Workshop was dedicated to the geometry
of spatial curves, and required from the participating students considerably more programming
understanding and an additional research of the field. The third Workshop day was character ized by an integration of the techniques of the first and the second Workshop day. In this final
programming exercise the participants had to use the geometric grid, in terms of distribution
of a chosen spatial curve.
This teaching activity resulted in excellent geometric models created by participating stu dents, exhibited in the form of prints, the last day of the Workshop. All the Workshop commu nication and information exchange was supported and saved in the specially created TEAMS
learning environment. A catalogue of student submissions is in the process of creation. The
Workshop influenced the teaching of the Elective course “Parametric modelling” in terms of
introducing new topics and rearranging selected teaching activities.",
publisher = "Pollack Press, Faculty of Engineering and Information Technology University of Péc",
journal = "Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs",
title = "Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop",
url = "https://hdl.handle.net/21.15107/rcub_raf_2148"
}

Devetaković, M., Ivanović, J., Djordjević, D.,& Popović, N.. (2023). Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop. in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs
Pollack Press, Faculty of Engineering and Information Technology University of Péc..
https://hdl.handle.net/21.15107/rcub_raf_2148

Devetaković M, Ivanović J, Djordjević D, Popović N. Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop. in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs. 2023;.
https://hdl.handle.net/21.15107/rcub_raf_2148 .

Devetaković, Mirjana, Ivanović, Jelena, Djordjević, Djordje, Popović, Nikola, "Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop" in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs (2023),
https://hdl.handle.net/21.15107/rcub_raf_2148 .

TY  - THES
AU  - Ivanović, Jelena S.
PY  - 2020-09-30
UR  - http://eteze.bg.ac.rs/application/showtheses?thesesId=7659
UR  - https://fedorabg.bg.ac.rs/fedora/get/o:22820/bdef:Content/download
UR  - http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=23736329
UR  - https://nardus.mpn.gov.rs/handle/123456789/17516
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1170
AB  - U teoriji kategorija, koherencija koja je vezana za određeni tip kategori-ja, u najgrubljem smislu znači komutiranje dijagrama sastavljenih od kanonskihstrelica tih kategorija...
AB  - In category theory, the term coherence of a particular type of the category indicates in thebroadest sense that the diagrams composed of its canonical arrows commute...
PB  - Универзитет у Београду, Математички факултет
T2  - Универзитет у Београду
T1  - Кохеренција и прости политопи
UR  - https://hdl.handle.net/21.15107/rcub_nardus_17516
ER  - 

@phdthesis{
author = "Ivanović, Jelena S.",
year = "2020-09-30",
abstract = "U teoriji kategorija, koherencija koja je vezana za određeni tip kategori-ja, u najgrubljem smislu znači komutiranje dijagrama sastavljenih od kanonskihstrelica tih kategorija..., In category theory, the term coherence of a particular type of the category indicates in thebroadest sense that the diagrams composed of its canonical arrows commute...",
publisher = "Универзитет у Београду, Математички факултет",
journal = "Универзитет у Београду",
title = "Кохеренција и прости политопи",
url = "https://hdl.handle.net/21.15107/rcub_nardus_17516"
}

Ivanović, J. S.. (2020-09-30). Кохеренција и прости политопи. in Универзитет у Београду
Универзитет у Београду, Математички факултет..
https://hdl.handle.net/21.15107/rcub_nardus_17516

Ivanović JS. Кохеренција и прости политопи. in Универзитет у Београду. 2020;.
https://hdl.handle.net/21.15107/rcub_nardus_17516 .

Ivanović, Jelena S., "Кохеренција и прости политопи" in Универзитет у Београду (2020-09-30),
https://hdl.handle.net/21.15107/rcub_nardus_17516 .

TY  - JOUR
AU  - Ivanović, Jelena
PY  - 2020
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1060
AB  - This paper introduces a family of n-polytopes, P An,c which is a geometrical realisation of simple permutoassociahedra. It has significant importance
serving as a topological proof of Mac Lane’s coherence. Polytopes in this
family are defined as Minkowski sums of certain polytopes such that every
summand produces exactly one truncation of the permutohedron, i.e. yields
to the appropriate facet of the resulting sum. Additionally, it leads to the
correlation between Minkowski sums and truncations, which gives a general
procedure for similar geometrical realisation of a wider class of polytopes.
PB  - Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics
T2  - Applicable Analysis and Discrete Mathematics
T1  - Geometrical realisations of the simple permutoassociahedron by Minkowski sums
VL  - 14
IS  - 1
SP  - 55
EP  - 93
DO  - 10.2298/AADM190414011I
ER  - 

@article{
author = "Ivanović, Jelena",
year = "2020",
abstract = "This paper introduces a family of n-polytopes, P An,c which is a geometrical realisation of simple permutoassociahedra. It has significant importance
serving as a topological proof of Mac Lane’s coherence. Polytopes in this
family are defined as Minkowski sums of certain polytopes such that every
summand produces exactly one truncation of the permutohedron, i.e. yields
to the appropriate facet of the resulting sum. Additionally, it leads to the
correlation between Minkowski sums and truncations, which gives a general
procedure for similar geometrical realisation of a wider class of polytopes.",
publisher = "Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Geometrical realisations of the simple permutoassociahedron by Minkowski sums",
volume = "14",
number = "1",
pages = "55-93",
doi = "10.2298/AADM190414011I"
}

Ivanović, J.. (2020). Geometrical realisations of the simple permutoassociahedron by Minkowski sums. in Applicable Analysis and Discrete Mathematics
Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics., 14(1), 55-93.
https://doi.org/10.2298/AADM190414011I

Ivanović J. Geometrical realisations of the simple permutoassociahedron by Minkowski sums. in Applicable Analysis and Discrete Mathematics. 2020;14(1):55-93.
doi:10.2298/AADM190414011I .

Ivanović, Jelena, "Geometrical realisations of the simple permutoassociahedron by Minkowski sums" in Applicable Analysis and Discrete Mathematics, 14, no. 1 (2020):55-93,
https://doi.org/10.2298/AADM190414011I . .

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1163
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
SP  - 111591
DO  - 10.1016/j.disc.2019.07.007
ER  - 

@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
pages = "111591",
doi = "10.1016/j.disc.2019.07.007"
}

Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete mathematics
Elsevier B.V.., 342(12), 111591.
https://doi.org/10.1016/j.disc.2019.07.007

Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete mathematics. 2019;342(12):111591.
doi:10.1016/j.disc.2019.07.007 .

Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete mathematics, 342, no. 12 (2019):111591,
https://doi.org/10.1016/j.disc.2019.07.007 . .

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1161
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete Mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
DO  - 10.1016/j.disc.2019.07.007
ER  - 

@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete Mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
doi = "10.1016/j.disc.2019.07.007"
}

Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete Mathematics
Elsevier B.V.., 342(12).
https://doi.org/10.1016/j.disc.2019.07.007

Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete Mathematics. 2019;342(12).
doi:10.1016/j.disc.2019.07.007 .

Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete Mathematics, 342, no. 12 (2019),
https://doi.org/10.1016/j.disc.2019.07.007 . .

TY  - JOUR
AU  - Curien, Pierre-Louis
AU  - Ivanović, Jelena
AU  - Obradović, Jovana
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1167
AB  - This paper introduces an inductively defined tree notation for allthe faces of polytopes arising from a simplex by truncations. This notation al-lows us to view inclusion of faces as the process of contracting tree edges. Ournotation instantiates to the well-known notations for the faces of associahedraand permutohedra. Various authors have independently introduced combina-torial tools for describing such polytopes. We build on the particular approachdeveloped by Doˇsen and Petri ́c, who used the formalism of hypergraphs to de-scribe the interval of polytopes from the simplex to the permutohedron. Thisinterval was further stretched by Petric to allow truncations of faces that arethemselves obtained by truncations, and iteratively so. Our notation applies toall these polytopes. We illustrate this by showing that it instantiates to a no-tation for the faces of the permutohedron-based associahedra, that consists ofparenthesised words with holes. Dosen and Petric have exhibited some familiesof hypergraph polytopes (associahedra, permutohedra, and hemiassociahedra)describing the coherences, and the coherences between coherences etc., arisingby weakening sequential and parallel associativity of operadic composition. Wecomplement their work with a criterion allowing us to recover the informationwhether  edges  of  these  “operadic  polytopes”  come  from  sequential,  or  fromparallel associativity. We also give alternative proofs for some of the originalresults of Dosen and Petric.
PB  - Springer
T2  - Journal of Homotopy and Related Structures
T1  - Syntactic aspects of hypergraph polytopes
VL  - 14
IS  - 1
DO  - 10.1007/s40062-018-0211-9
ER  - 

@article{
author = "Curien, Pierre-Louis and Ivanović, Jelena and Obradović, Jovana",
year = "2019",
abstract = "This paper introduces an inductively defined tree notation for allthe faces of polytopes arising from a simplex by truncations. This notation al-lows us to view inclusion of faces as the process of contracting tree edges. Ournotation instantiates to the well-known notations for the faces of associahedraand permutohedra. Various authors have independently introduced combina-torial tools for describing such polytopes. We build on the particular approachdeveloped by Doˇsen and Petri ́c, who used the formalism of hypergraphs to de-scribe the interval of polytopes from the simplex to the permutohedron. Thisinterval was further stretched by Petric to allow truncations of faces that arethemselves obtained by truncations, and iteratively so. Our notation applies toall these polytopes. We illustrate this by showing that it instantiates to a no-tation for the faces of the permutohedron-based associahedra, that consists ofparenthesised words with holes. Dosen and Petric have exhibited some familiesof hypergraph polytopes (associahedra, permutohedra, and hemiassociahedra)describing the coherences, and the coherences between coherences etc., arisingby weakening sequential and parallel associativity of operadic composition. Wecomplement their work with a criterion allowing us to recover the informationwhether  edges  of  these  “operadic  polytopes”  come  from  sequential,  or  fromparallel associativity. We also give alternative proofs for some of the originalresults of Dosen and Petric.",
publisher = "Springer",
journal = "Journal of Homotopy and Related Structures",
title = "Syntactic aspects of hypergraph polytopes",
volume = "14",
number = "1",
doi = "10.1007/s40062-018-0211-9"
}

Curien, P., Ivanović, J.,& Obradović, J.. (2019). Syntactic aspects of hypergraph polytopes. in Journal of Homotopy and Related Structures
Springer., 14(1).
https://doi.org/10.1007/s40062-018-0211-9

Curien P, Ivanović J, Obradović J. Syntactic aspects of hypergraph polytopes. in Journal of Homotopy and Related Structures. 2019;14(1).
doi:10.1007/s40062-018-0211-9 .

Curien, Pierre-Louis, Ivanović, Jelena, Obradović, Jovana, "Syntactic aspects of hypergraph polytopes" in Journal of Homotopy and Related Structures, 14, no. 1 (2019),
https://doi.org/10.1007/s40062-018-0211-9 . .

TY  - CONF
AU  - Baralić, Djordje
AU  - Petrić, Zoran
AU  - Ivanović, Jelena
AU  - Telebaković Onić, Sonja
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1174
AB  - A proper colouring of a polytope is a surjective function from the set of facetsto a set ofmcolours such that every two facets associated with the same colour areseparated, i.e. have no vertex in common. The chromatic number of a polytope is theminimalmsuch that there exists a proper colouring of its facets inmcolours.  Thistalk  presents  the  chromatic  numbers  of  associahedra  and  some  others  interestingmembers of the family of nestohedra.
PB  - Faculty of Natural Sciences and Mathematics in Podgorica
PB  - Mathematical Institute of the Serbian Academy of Sciences and Arts
PB  - Faculty of Mathematics in Belgrade
PB  - Matica srpska - Association of Members in Montenegro
PB  - Mathematical Forum of Montenegro
C3  - Mathematical Meeting of Serbia and Montenegro 2019
T1  - Facet colouring of nestohedra
SP  - 5
EP  - 5
UR  - https://hdl.handle.net/21.15107/rcub_raf_1174
ER  - 

@conference{
author = "Baralić, Djordje and Petrić, Zoran and Ivanović, Jelena and Telebaković Onić, Sonja",
year = "2019",
abstract = "A proper colouring of a polytope is a surjective function from the set of facetsto a set ofmcolours such that every two facets associated with the same colour areseparated, i.e. have no vertex in common. The chromatic number of a polytope is theminimalmsuch that there exists a proper colouring of its facets inmcolours.  Thistalk  presents  the  chromatic  numbers  of  associahedra  and  some  others  interestingmembers of the family of nestohedra.",
publisher = "Faculty of Natural Sciences and Mathematics in Podgorica, Mathematical Institute of the Serbian Academy of Sciences and Arts, Faculty of Mathematics in Belgrade, Matica srpska - Association of Members in Montenegro, Mathematical Forum of Montenegro",
journal = "Mathematical Meeting of Serbia and Montenegro 2019",
title = "Facet colouring of nestohedra",
pages = "5-5",
url = "https://hdl.handle.net/21.15107/rcub_raf_1174"
}

Baralić, D., Petrić, Z., Ivanović, J.,& Telebaković Onić, S.. (2019). Facet colouring of nestohedra. in Mathematical Meeting of Serbia and Montenegro 2019
Faculty of Natural Sciences and Mathematics in Podgorica., 5-5.
https://hdl.handle.net/21.15107/rcub_raf_1174

Baralić D, Petrić Z, Ivanović J, Telebaković Onić S. Facet colouring of nestohedra. in Mathematical Meeting of Serbia and Montenegro 2019. 2019;:5-5.
https://hdl.handle.net/21.15107/rcub_raf_1174 .

Baralić, Djordje, Petrić, Zoran, Ivanović, Jelena, Telebaković Onić, Sonja, "Facet colouring of nestohedra" in Mathematical Meeting of Serbia and Montenegro 2019 (2019):5-5,
https://hdl.handle.net/21.15107/rcub_raf_1174 .

TY  - JOUR
AU  - Curien, Pierre-Louis
AU  - Obradović, Jovana
AU  - Ivanović, Jelena
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1168
AB  - This paper introduces an inductive tree notation for all the faces of polytopes arising
from a simplex by truncations, which allows viewing face inclusion as the process of
contracting tree edges.These polytopes, knownas hypergraph polytopes or nestohedra,
fit in the interval from simplices to permutohedra (in any finite dimension). This
intervalwas further stretched by Petri´c to allowtruncations of faces that are themselves
obtained by truncations. Our notation applies to all these polytopes. As an illustration,
we detail the case of Petri´c’s permutohedron-based associahedra. As an application,
we present a criterion for determining whether edges of polytopes associated with the
coherences of categorified operads correspond to sequential, or to parallel associativity.
PB  - Springer
T2  - The Journal of Homotopy and Related Structures (JHRS)
T1  - Syntactic aspects of hypergraph polytopes
IS  - 14
SP  - 235
EP  - 279
DO  - 10.1007/s40062-018-0211-9
ER  - 

@article{
author = "Curien, Pierre-Louis and Obradović, Jovana and Ivanović, Jelena",
year = "2019",
abstract = "This paper introduces an inductive tree notation for all the faces of polytopes arising
from a simplex by truncations, which allows viewing face inclusion as the process of
contracting tree edges.These polytopes, knownas hypergraph polytopes or nestohedra,
fit in the interval from simplices to permutohedra (in any finite dimension). This
intervalwas further stretched by Petri´c to allowtruncations of faces that are themselves
obtained by truncations. Our notation applies to all these polytopes. As an illustration,
we detail the case of Petri´c’s permutohedron-based associahedra. As an application,
we present a criterion for determining whether edges of polytopes associated with the
coherences of categorified operads correspond to sequential, or to parallel associativity.",
publisher = "Springer",
journal = "The Journal of Homotopy and Related Structures (JHRS)",
title = "Syntactic aspects of hypergraph polytopes",
number = "14",
pages = "235-279",
doi = "10.1007/s40062-018-0211-9"
}

Curien, P., Obradović, J.,& Ivanović, J.. (2019). Syntactic aspects of hypergraph polytopes. in The Journal of Homotopy and Related Structures (JHRS)
Springer.(14), 235-279.
https://doi.org/10.1007/s40062-018-0211-9

Curien P, Obradović J, Ivanović J. Syntactic aspects of hypergraph polytopes. in The Journal of Homotopy and Related Structures (JHRS). 2019;(14):235-279.
doi:10.1007/s40062-018-0211-9 .

Curien, Pierre-Louis, Obradović, Jovana, Ivanović, Jelena, "Syntactic aspects of hypergraph polytopes" in The Journal of Homotopy and Related Structures (JHRS), no. 14 (2019):235-279,
https://doi.org/10.1007/s40062-018-0211-9 . .

TY  - JOUR
AU  - Petruševski, Ljiljana
AU  - Petrović, Maja M.
AU  - Devetaković, Mirjana
AU  - Ivanović, Jelena
PY  - 2017
UR  - https://raf.arh.bg.ac.rs/handle/123456789/265
AB  - The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points, whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results.
AB  - Tema ovog rada je modelovanje fokalno-direktrisnih površi polazeći od njihove definicije, kao geometrijskog mesta tačaka čiji je zbir rastojanja do fokusa i/ili direktrisa konstantan i unapred zadat. Predložen je jedan heuristički algoritam za modelovanje površi i njihovih izolinija koji je realizovan pomoću vizuelnog grafičkog editora Grasshoper u RhinoCeros okruženju. Generisanje površi i njihovih izolinija realizovano je u sfernom gridu, pravougli grid se pokazao kao nepodesan za postavljeni zadatak i pristup. U ovom radu je, dodatno, predložen i algoritam modelovanja diskretne varijante fokalno-direktrisnih površi. Kao način modelovanja, predložen je 3D convex hull primenjen na skupu tačaka površi i izabranih tačaka bliskih toj površi. Diskretni model je realizovan u pravouglom, i u sfernom gridu. Dobijeni su rezultati koji se značajno međusobno razlikuju.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Modeling of focal-directorial surfaces for application in architecture
T1  - Modelovanje fokalno-direktrisnih površi za primenu u arhitekturi
VL  - 45
IS  - 2
SP  - 294
EP  - 300
DO  - 10.5937/fmet1702294P
ER  - 

@article{
author = "Petruševski, Ljiljana and Petrović, Maja M. and Devetaković, Mirjana and Ivanović, Jelena",
year = "2017",
abstract = "The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points, whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results., Tema ovog rada je modelovanje fokalno-direktrisnih površi polazeći od njihove definicije, kao geometrijskog mesta tačaka čiji je zbir rastojanja do fokusa i/ili direktrisa konstantan i unapred zadat. Predložen je jedan heuristički algoritam za modelovanje površi i njihovih izolinija koji je realizovan pomoću vizuelnog grafičkog editora Grasshoper u RhinoCeros okruženju. Generisanje površi i njihovih izolinija realizovano je u sfernom gridu, pravougli grid se pokazao kao nepodesan za postavljeni zadatak i pristup. U ovom radu je, dodatno, predložen i algoritam modelovanja diskretne varijante fokalno-direktrisnih površi. Kao način modelovanja, predložen je 3D convex hull primenjen na skupu tačaka površi i izabranih tačaka bliskih toj površi. Diskretni model je realizovan u pravouglom, i u sfernom gridu. Dobijeni su rezultati koji se značajno međusobno razlikuju.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Modeling of focal-directorial surfaces for application in architecture, Modelovanje fokalno-direktrisnih površi za primenu u arhitekturi",
volume = "45",
number = "2",
pages = "294-300",
doi = "10.5937/fmet1702294P"
}

Petruševski, L., Petrović, M. M., Devetaković, M.,& Ivanović, J.. (2017). Modeling of focal-directorial surfaces for application in architecture. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 45(2), 294-300.
https://doi.org/10.5937/fmet1702294P

Petruševski L, Petrović MM, Devetaković M, Ivanović J. Modeling of focal-directorial surfaces for application in architecture. in FME Transactions. 2017;45(2):294-300.
doi:10.5937/fmet1702294P .

Petruševski, Ljiljana, Petrović, Maja M., Devetaković, Mirjana, Ivanović, Jelena, "Modeling of focal-directorial surfaces for application in architecture" in FME Transactions, 45, no. 2 (2017):294-300,
https://doi.org/10.5937/fmet1702294P . .

TY  - CONF
AU  - Devetaković, Mirjana
AU  - Ivanović, Jelena
AU  - Petruševski, Ljiljana
PY  - 2016
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1172
AB  - In this study we examine pedagogic values of the Box Packing concept, a puzzle problem, initially published as a demonstration within the Wolfram Demonstration Project, gathering 27 identical boxes of any proportion, in a regular cubic body. Methodologically based on the content analysis of realized educational experiments, the research is aimed at enlarging possible use of mathematical/geometric concepts in architectural education, particularly in domain of parametric design. After briefly explaining the concept and original demonstration, and giving an overview of its usage in several courses in various contexts, highlighting pedagogic implications of its use (including development of capabilities to recognize architectonics in pure geometric form, acquiring basic modelling skills, manipulating geometric bodies, understanding parametric systems, materialization in various materials including recycled ones, etc.) we focus on its transposition into a parametric system created as a Grasshopper definition (visual algorithmic editor for Rhino 3D software), analyzing the creation of algorithm and characteristic elements of the definition and discussing their potential application in solving other parametric problems.
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
PB  - Belgrade :  Faculty of Civil Engineering, University
PB  - Belgrade : Akademska misao
C3  - Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
T1  - Pedagogic Potential of a Parametric System based on the Box-Packing Concept
SP  - 305
EP  - 319
UR  - https://hdl.handle.net/21.15107/rcub_raf_1172
ER  - 

@conference{
author = "Devetaković, Mirjana and Ivanović, Jelena and Petruševski, Ljiljana",
year = "2016",
abstract = "In this study we examine pedagogic values of the Box Packing concept, a puzzle problem, initially published as a demonstration within the Wolfram Demonstration Project, gathering 27 identical boxes of any proportion, in a regular cubic body. Methodologically based on the content analysis of realized educational experiments, the research is aimed at enlarging possible use of mathematical/geometric concepts in architectural education, particularly in domain of parametric design. After briefly explaining the concept and original demonstration, and giving an overview of its usage in several courses in various contexts, highlighting pedagogic implications of its use (including development of capabilities to recognize architectonics in pure geometric form, acquiring basic modelling skills, manipulating geometric bodies, understanding parametric systems, materialization in various materials including recycled ones, etc.) we focus on its transposition into a parametric system created as a Grasshopper definition (visual algorithmic editor for Rhino 3D software), analyzing the creation of algorithm and characteristic elements of the definition and discussing their potential application in solving other parametric problems.",
publisher = "Belgrade : Serbian Society for Geometry and Graphics (SUGIG), Belgrade :  Faculty of Civil Engineering, University, Belgrade : Akademska misao",
journal = "Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia",
title = "Pedagogic Potential of a Parametric System based on the Box-Packing Concept",
pages = "305-319",
url = "https://hdl.handle.net/21.15107/rcub_raf_1172"
}

Devetaković, M., Ivanović, J.,& Petruševski, L.. (2016). Pedagogic Potential of a Parametric System based on the Box-Packing Concept. in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
Belgrade : Serbian Society for Geometry and Graphics (SUGIG)., 305-319.
https://hdl.handle.net/21.15107/rcub_raf_1172

Devetaković M, Ivanović J, Petruševski L. Pedagogic Potential of a Parametric System based on the Box-Packing Concept. in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia. 2016;:305-319.
https://hdl.handle.net/21.15107/rcub_raf_1172 .

Devetaković, Mirjana, Ivanović, Jelena, Petruševski, Ljiljana, "Pedagogic Potential of a Parametric System based on the Box-Packing Concept" in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia (2016):305-319,
https://hdl.handle.net/21.15107/rcub_raf_1172 .

TY  - CONF
AU  - Petrusevski, Ljiljana
AU  - Petrovic, Maja
AU  - Devetakovic, Mirjana
AU  - Ivanovic, Jelena
PY  - 2016
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1171
AB  - The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results.
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
PB  - Belgrade :  Faculty of Civil Engineering, University
PB  - Belgrade : Akademska misao
C3  - Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
T1  - Modeling of  Focal-Directorial Surfaces for Aplication in Architecture
SP  - 278
EP  - 286
UR  - https://hdl.handle.net/21.15107/rcub_raf_1171
ER  - 

@conference{
author = "Petrusevski, Ljiljana and Petrovic, Maja and Devetakovic, Mirjana and Ivanovic, Jelena",
year = "2016",
abstract = "The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results.",
publisher = "Belgrade : Serbian Society for Geometry and Graphics (SUGIG), Belgrade :  Faculty of Civil Engineering, University, Belgrade : Akademska misao",
journal = "Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia",
title = "Modeling of  Focal-Directorial Surfaces for Aplication in Architecture",
pages = "278-286",
url = "https://hdl.handle.net/21.15107/rcub_raf_1171"
}

Petrusevski, L., Petrovic, M., Devetakovic, M.,& Ivanovic, J.. (2016). Modeling of  Focal-Directorial Surfaces for Aplication in Architecture. in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
Belgrade : Serbian Society for Geometry and Graphics (SUGIG)., 278-286.
https://hdl.handle.net/21.15107/rcub_raf_1171

Petrusevski L, Petrovic M, Devetakovic M, Ivanovic J. Modeling of  Focal-Directorial Surfaces for Aplication in Architecture. in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia. 2016;:278-286.
https://hdl.handle.net/21.15107/rcub_raf_1171 .

Petrusevski, Ljiljana, Petrovic, Maja, Devetakovic, Mirjana, Ivanovic, Jelena, "Modeling of  Focal-Directorial Surfaces for Aplication in Architecture" in Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia (2016):278-286,
https://hdl.handle.net/21.15107/rcub_raf_1171 .

TY  - CONF
AU  - Devetakovic, Mirjana
AU  - Ivanovic, Jelena
AU  - Petrusevski, Petrusevski
PY  - 2016
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1169
AB  - In this study we examine pedagogic values of the Box Packing concept, a puzzle problem, initially published
as a demonstration within the Wolfram Demonstration Project, gathering 27 identical boxes of any proportion, in
a regular cubic body. Methodologically based on the content analysis of realized educational experiments, the
research is aimed at enlarging possible use of mathematical/geometric concepts in architectural education,
particularly in domain of parametric design. After briefly explaining the concept and original demonstration, and
giving an overview of its usage in several courses in various contexts, highlighting pedagogic implications of its
use (including development of capabilities to recognize architectonics in pure geometric form, acquiring basic
modelling skills, manipulating geometric bodies, understanding parametric systems, materialization in various
materials including recycled ones, etc.) we focus on its transposition into a parametric system created as a
Grasshopper definition (visual algorithmic editor for Rhino 3D software, FIGURE ), analyzing the creation of
algorithm and characteristic elements of the definition and discussing their potential application in solving other
parametric problems......
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
PB  - Belgrade :  Faculty of Civil Engineering, University
PB  - Belgrade : Akademska misao
C3  - Book of Abstracts / 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
T1  - Pedagogic potential of a parametric system based on the box packing concept
SP  - 95
EP  - 96
UR  - https://hdl.handle.net/21.15107/rcub_raf_1169
ER  - 

@conference{
author = "Devetakovic, Mirjana and Ivanovic, Jelena and Petrusevski, Petrusevski",
year = "2016",
abstract = "In this study we examine pedagogic values of the Box Packing concept, a puzzle problem, initially published
as a demonstration within the Wolfram Demonstration Project, gathering 27 identical boxes of any proportion, in
a regular cubic body. Methodologically based on the content analysis of realized educational experiments, the
research is aimed at enlarging possible use of mathematical/geometric concepts in architectural education,
particularly in domain of parametric design. After briefly explaining the concept and original demonstration, and
giving an overview of its usage in several courses in various contexts, highlighting pedagogic implications of its
use (including development of capabilities to recognize architectonics in pure geometric form, acquiring basic
modelling skills, manipulating geometric bodies, understanding parametric systems, materialization in various
materials including recycled ones, etc.) we focus on its transposition into a parametric system created as a
Grasshopper definition (visual algorithmic editor for Rhino 3D software, FIGURE ), analyzing the creation of
algorithm and characteristic elements of the definition and discussing their potential application in solving other
parametric problems......",
publisher = "Belgrade : Serbian Society for Geometry and Graphics (SUGIG), Belgrade :  Faculty of Civil Engineering, University, Belgrade : Akademska misao",
journal = "Book of Abstracts / 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia",
title = "Pedagogic potential of a parametric system based on the box packing concept",
pages = "95-96",
url = "https://hdl.handle.net/21.15107/rcub_raf_1169"
}

Devetakovic, M., Ivanovic, J.,& Petrusevski, P.. (2016). Pedagogic potential of a parametric system based on the box packing concept. in Book of Abstracts / 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia
Belgrade : Serbian Society for Geometry and Graphics (SUGIG)., 95-96.
https://hdl.handle.net/21.15107/rcub_raf_1169

Devetakovic M, Ivanovic J, Petrusevski P. Pedagogic potential of a parametric system based on the box packing concept. in Book of Abstracts / 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia. 2016;:95-96.
https://hdl.handle.net/21.15107/rcub_raf_1169 .

Devetakovic, Mirjana, Ivanovic, Jelena, Petrusevski, Petrusevski, "Pedagogic potential of a parametric system based on the box packing concept" in Book of Abstracts / 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia (2016):95-96,
https://hdl.handle.net/21.15107/rcub_raf_1169 .

TY  - CHAP
AU  - Devetaković, Mirjana
AU  - Arsić, Petar
AU  - Petruševski, Ljiljana
AU  - Kijanović, Jelena
AU  - Nikolić, Ivica
PY  - 2013
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1176
AB  - Converging developments in informati on and communicati on technologies, have greatly infl uenced the contemporary
architectural practi ce, and consequently the educati on of architects. Introducti on of the Internet
in the educati onal process, whether through the use of various resources related to the selected locati on
or broader base of disciplinary knowledge relevant to solving of a specifi c design problem, has become a
standard procedure for all parti cipants in educati on. The communicati on potenti al of the Internet, however,
provides opportuniti es not only to collect informati on and use existi ng knowledge, but also for the acti ve
exchange and creati on of new knowledge, which in this case relates to urban design in specifi c areas of Serbia.
One of the characteristi cs of a series of studio projects in urban design, realized during the academic year
2010/11 with third-year students, is the technological improvement of learning, especially by integrati ng
selected concepts of electronic learning (e-Learning) in the Studio Project (SP4). Virtual environment used to
support teaching in the studio of prof. Petar Arsic is shown in more detail as an example of this work.
Besides the implementati on of e-learning educati onal model, within the same study, in cooperati on with the
Cabinet for mathemati cs, geometry and architectural CAAD (Computer Aided Architectural Design), specifi c
concepts of parametric modeling have been developed, adapted to the needs of modern urban design. In
this sense, the parametric modeling system that provides real ti me control of the geometry and parameters
of urban structure (number of fl oors, ground fl oor dimensions, density and objects’ layout), as well as the
index of constructi on and occupancy of land is presented.
AB  - Konvergentan razvoj informacionih i komunikacionih tehnologija, snažno je uti cao na savremenu arhitektonsku
praksu, a samim ti m i na obrazovanje arhitekata. Uključivanje Interneta u obrazovni proces, bilo kroz
korišćenje različiti h resursa vezanih za izabranu lokaciju ili šire baze disciplinarnog znanja koje se odnosi na
rešavanje karakteristi čnog projektantskog problema, postalo je standardni postupak za sve učesnike u nastavi.
Komunikacioni potencijal Interneta, međuti m, daje mogućnosti ne samo za prikupljanje informacija i
korišćenje postojećih znanja, nego i za akti vnu razmenu i kreiranje novog znanja, koje se u ovom slučaju
odnosi na urbani dizajn u specifi čnim područjima Srbije.
Jedna od karakteristi ka serije studio projekata iz oblasti urbanog dizajna, realizovanih školske 2010/11. godine
sa studenti ma treće godine, jeste i tehnološko unapređenje nastave, pre svega kroz integrisanje izabranih
koncepata elektronskog učenja (e-Learning) u nastavu na Studio projektu (SP4). Kao primer ovakvog rada
detaljnije je prikazano elektronsko okruženje korišćeno za podršku nastavi u studiju prof. Petra Arsića.
Pored primene elektronskog učenja, u okviru istog studija, u saradnji sa Kabinetom za matemati ku, arhitektonsku
geometriju i CAAD (Computer Aided Architectural Design), razvijeni su i specifi čni koncepti parametarskog
modelovanja, prilagođeni potrebama savremenog urbanog dizajna. U tom smislu prikazan je sistem
za parametarsko modelovanje urbanisti čkih sklopova koji omogućava kontrolu geometrije i parametara
urbanisti čkog sklopa (spratnosti , dimenzija osnove, gusti nu i distribuciju objekata), kao i indeksa izgrađenosti
i zauzetosti parcele, u realnom vremenu.
PB  - Beograd : Arhitektonski fakultet  = Belgrade : Faculty of Architecture
T2  - Savremeni pristupi urbanom dizajnu za održivi turizam Srbije  = Contemporary Approach to Urban Design for Sustainable Tourism of Serbia
T1  - Istraživanja mogućih unapređenja u obrazovanju arhitekata – integrisanje elektronskog učenja i parametarskog modelovanja u nastavu urbanog dizajna
T1  - Research of possible improvements in education of architects - integrating e-learning and parametric modeling in urban design teaching
SP  - 270
EP  - 295
UR  - https://hdl.handle.net/21.15107/rcub_raf_1176
ER  - 

@inbook{
author = "Devetaković, Mirjana and Arsić, Petar and Petruševski, Ljiljana and Kijanović, Jelena and Nikolić, Ivica",
year = "2013",
abstract = "Converging developments in informati on and communicati on technologies, have greatly infl uenced the contemporary
architectural practi ce, and consequently the educati on of architects. Introducti on of the Internet
in the educati onal process, whether through the use of various resources related to the selected locati on
or broader base of disciplinary knowledge relevant to solving of a specifi c design problem, has become a
standard procedure for all parti cipants in educati on. The communicati on potenti al of the Internet, however,
provides opportuniti es not only to collect informati on and use existi ng knowledge, but also for the acti ve
exchange and creati on of new knowledge, which in this case relates to urban design in specifi c areas of Serbia.
One of the characteristi cs of a series of studio projects in urban design, realized during the academic year
2010/11 with third-year students, is the technological improvement of learning, especially by integrati ng
selected concepts of electronic learning (e-Learning) in the Studio Project (SP4). Virtual environment used to
support teaching in the studio of prof. Petar Arsic is shown in more detail as an example of this work.
Besides the implementati on of e-learning educati onal model, within the same study, in cooperati on with the
Cabinet for mathemati cs, geometry and architectural CAAD (Computer Aided Architectural Design), specifi c
concepts of parametric modeling have been developed, adapted to the needs of modern urban design. In
this sense, the parametric modeling system that provides real ti me control of the geometry and parameters
of urban structure (number of fl oors, ground fl oor dimensions, density and objects’ layout), as well as the
index of constructi on and occupancy of land is presented., Konvergentan razvoj informacionih i komunikacionih tehnologija, snažno je uti cao na savremenu arhitektonsku
praksu, a samim ti m i na obrazovanje arhitekata. Uključivanje Interneta u obrazovni proces, bilo kroz
korišćenje različiti h resursa vezanih za izabranu lokaciju ili šire baze disciplinarnog znanja koje se odnosi na
rešavanje karakteristi čnog projektantskog problema, postalo je standardni postupak za sve učesnike u nastavi.
Komunikacioni potencijal Interneta, međuti m, daje mogućnosti ne samo za prikupljanje informacija i
korišćenje postojećih znanja, nego i za akti vnu razmenu i kreiranje novog znanja, koje se u ovom slučaju
odnosi na urbani dizajn u specifi čnim područjima Srbije.
Jedna od karakteristi ka serije studio projekata iz oblasti urbanog dizajna, realizovanih školske 2010/11. godine
sa studenti ma treće godine, jeste i tehnološko unapređenje nastave, pre svega kroz integrisanje izabranih
koncepata elektronskog učenja (e-Learning) u nastavu na Studio projektu (SP4). Kao primer ovakvog rada
detaljnije je prikazano elektronsko okruženje korišćeno za podršku nastavi u studiju prof. Petra Arsića.
Pored primene elektronskog učenja, u okviru istog studija, u saradnji sa Kabinetom za matemati ku, arhitektonsku
geometriju i CAAD (Computer Aided Architectural Design), razvijeni su i specifi čni koncepti parametarskog
modelovanja, prilagođeni potrebama savremenog urbanog dizajna. U tom smislu prikazan je sistem
za parametarsko modelovanje urbanisti čkih sklopova koji omogućava kontrolu geometrije i parametara
urbanisti čkog sklopa (spratnosti , dimenzija osnove, gusti nu i distribuciju objekata), kao i indeksa izgrađenosti
i zauzetosti parcele, u realnom vremenu.",
publisher = "Beograd : Arhitektonski fakultet  = Belgrade : Faculty of Architecture",
journal = "Savremeni pristupi urbanom dizajnu za održivi turizam Srbije  = Contemporary Approach to Urban Design for Sustainable Tourism of Serbia",
booktitle = "Istraživanja mogućih unapređenja u obrazovanju arhitekata – integrisanje elektronskog učenja i parametarskog modelovanja u nastavu urbanog dizajna, Research of possible improvements in education of architects - integrating e-learning and parametric modeling in urban design teaching",
pages = "270-295",
url = "https://hdl.handle.net/21.15107/rcub_raf_1176"
}

Devetaković, M., Arsić, P., Petruševski, L., Kijanović, J.,& Nikolić, I.. (2013). Istraživanja mogućih unapređenja u obrazovanju arhitekata – integrisanje elektronskog učenja i parametarskog modelovanja u nastavu urbanog dizajna. in Savremeni pristupi urbanom dizajnu za održivi turizam Srbije  = Contemporary Approach to Urban Design for Sustainable Tourism of Serbia
Beograd : Arhitektonski fakultet  = Belgrade : Faculty of Architecture., 270-295.
https://hdl.handle.net/21.15107/rcub_raf_1176

Devetaković M, Arsić P, Petruševski L, Kijanović J, Nikolić I. Istraživanja mogućih unapređenja u obrazovanju arhitekata – integrisanje elektronskog učenja i parametarskog modelovanja u nastavu urbanog dizajna. in Savremeni pristupi urbanom dizajnu za održivi turizam Srbije  = Contemporary Approach to Urban Design for Sustainable Tourism of Serbia. 2013;:270-295.
https://hdl.handle.net/21.15107/rcub_raf_1176 .

Devetaković, Mirjana, Arsić, Petar, Petruševski, Ljiljana, Kijanović, Jelena, Nikolić, Ivica, "Istraživanja mogućih unapređenja u obrazovanju arhitekata – integrisanje elektronskog učenja i parametarskog modelovanja u nastavu urbanog dizajna" in Savremeni pristupi urbanom dizajnu za održivi turizam Srbije  = Contemporary Approach to Urban Design for Sustainable Tourism of Serbia (2013):270-295,
https://hdl.handle.net/21.15107/rcub_raf_1176 .

TY  - CONF
AU  - Kijanovic, Jelena
AU  - Petrusevski, Ljiljana
PY  - 2011-01
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1175
AB  - To evolutionary-computation researches, the mechanisms of evolution come to be solutions for the most pressing computational problems in many fields. A Genetic algorithm (GA) is a form of evolution that occurs on a computer. These algorithms are appealing sources of inspiration, searching methods that can be used for both - solving problems and modelling evolutionary systems. After describing the basic elements, functionalities and the most important theoretical foundations of GA, this paper will present how GA can be designed to solve different types of problems, including optimization of function, evolving strategies and cellular automata. The accent is interaction between GA and parametric modelling using Grasshopper (the plug-in for the Rhino platform) in the field of architecture and urbanism. This approach finds optimal solution, combination of parameters, which complies given conditions controlled by urbanism's requests. In addition, the influences of the GA control parameters on its solving process are studied. This system has been developed and tasted within the Chair for Mathematics, Architectural Geometry and CAAD, at the University of Belgrade, Faculty of Architecture. This study has partly been completed within the following projects, funded by the Ministry of Education and Science of Serbia: OI174012 and III47014.
PB  - University of Pecs, Pollack Mihaly Faculty of Engineering
C3  - Seventh International PhD & DLA Symposium 24th-25th October, 2011, Pecs, Hungary
T1  - Genetic algorithms - problem solving in architecture and urbanism
SP  - C71
EP  - C71
UR  - https://hdl.handle.net/21.15107/rcub_raf_1175
ER  - 

@conference{
author = "Kijanovic, Jelena and Petrusevski, Ljiljana",
year = "2011-01",
abstract = "To evolutionary-computation researches, the mechanisms of evolution come to be solutions for the most pressing computational problems in many fields. A Genetic algorithm (GA) is a form of evolution that occurs on a computer. These algorithms are appealing sources of inspiration, searching methods that can be used for both - solving problems and modelling evolutionary systems. After describing the basic elements, functionalities and the most important theoretical foundations of GA, this paper will present how GA can be designed to solve different types of problems, including optimization of function, evolving strategies and cellular automata. The accent is interaction between GA and parametric modelling using Grasshopper (the plug-in for the Rhino platform) in the field of architecture and urbanism. This approach finds optimal solution, combination of parameters, which complies given conditions controlled by urbanism's requests. In addition, the influences of the GA control parameters on its solving process are studied. This system has been developed and tasted within the Chair for Mathematics, Architectural Geometry and CAAD, at the University of Belgrade, Faculty of Architecture. This study has partly been completed within the following projects, funded by the Ministry of Education and Science of Serbia: OI174012 and III47014.",
publisher = "University of Pecs, Pollack Mihaly Faculty of Engineering",
journal = "Seventh International PhD & DLA Symposium 24th-25th October, 2011, Pecs, Hungary",
title = "Genetic algorithms - problem solving in architecture and urbanism",
pages = "C71-C71",
url = "https://hdl.handle.net/21.15107/rcub_raf_1175"
}

Kijanovic, J.,& Petrusevski, L.. (2011-01). Genetic algorithms - problem solving in architecture and urbanism. in Seventh International PhD & DLA Symposium 24th-25th October, 2011, Pecs, Hungary
University of Pecs, Pollack Mihaly Faculty of Engineering., C71-C71.
https://hdl.handle.net/21.15107/rcub_raf_1175

Kijanovic J, Petrusevski L. Genetic algorithms - problem solving in architecture and urbanism. in Seventh International PhD & DLA Symposium 24th-25th October, 2011, Pecs, Hungary. 2011;:C71-C71.
https://hdl.handle.net/21.15107/rcub_raf_1175 .

Kijanovic, Jelena, Petrusevski, Ljiljana, "Genetic algorithms - problem solving in architecture and urbanism" in Seventh International PhD & DLA Symposium 24th-25th October, 2011, Pecs, Hungary (2011-01):C71-C71,
https://hdl.handle.net/21.15107/rcub_raf_1175 .

TY  - CONF
AU  - Devetakovic, Mirjana
AU  - Petrusevski, Ljiljana
AU  - Kijanovic, Jelena
PY  - 2011
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1173
AB  - In this study we examine a methodology of integrating selected mathematical concepts in architectural design. The studied case is based on the Box Packing concept, published as a demonstration within the Wolfram Demonstration Projects. Mathematically speaking, it is an example of a puzzle problem, within which a set of 27 identical cubic elements, changing their proportions, form a cubical body. The demonstration has been transposed into a powerful Grasshopper definition (visual algorithm editor compatible with the Rhino modelling platform), suitable for use by architecture students, as an example of parametric modelling. The architectural potential of the concept has been examined within an elective course titled Generic explorations 06 in the autumn semester 2010/11 at the University of Belgrade, Faculty of Architecture. This initial examination resulted in a series of small scale objects realized in Corian material, in collaboration with the firm DuPont (Serbia). After this initial examination of the concept, it is integrated in the 3D Visual communications course offered to a group of first year students, within which a series of objects have been created, modelled, materialized, interpreted architecturally and multiplied (varying parametrically), forming an urban complex.
PB  - University of Pécs Pollack Mihály Faculty of Engineering
PB  - Organising Committee of "Mathematics in Architecture and Civil Engineering, Design and Education" conference
C3  - Matematika az építész és építőmérnöki tervezésben és oktatásban : 2011. május 26-28., Pécsi Tudományegyetem Pollack Mihály Műszaki Kar : program és előadáskivonatok = Mathematics in architecture and civil engineering design and education : May 26-28, 2011
T1  - The Box Packing – A Mathematical Concept Interpreted Architecturally
SP  - 41
EP  - 41
UR  - https://hdl.handle.net/21.15107/rcub_raf_1173
ER  - 

@conference{
author = "Devetakovic, Mirjana and Petrusevski, Ljiljana and Kijanovic, Jelena",
year = "2011",
abstract = "In this study we examine a methodology of integrating selected mathematical concepts in architectural design. The studied case is based on the Box Packing concept, published as a demonstration within the Wolfram Demonstration Projects. Mathematically speaking, it is an example of a puzzle problem, within which a set of 27 identical cubic elements, changing their proportions, form a cubical body. The demonstration has been transposed into a powerful Grasshopper definition (visual algorithm editor compatible with the Rhino modelling platform), suitable for use by architecture students, as an example of parametric modelling. The architectural potential of the concept has been examined within an elective course titled Generic explorations 06 in the autumn semester 2010/11 at the University of Belgrade, Faculty of Architecture. This initial examination resulted in a series of small scale objects realized in Corian material, in collaboration with the firm DuPont (Serbia). After this initial examination of the concept, it is integrated in the 3D Visual communications course offered to a group of first year students, within which a series of objects have been created, modelled, materialized, interpreted architecturally and multiplied (varying parametrically), forming an urban complex.",
publisher = "University of Pécs Pollack Mihály Faculty of Engineering, Organising Committee of "Mathematics in Architecture and Civil Engineering, Design and Education" conference",
journal = "Matematika az építész és építőmérnöki tervezésben és oktatásban : 2011. május 26-28., Pécsi Tudományegyetem Pollack Mihály Műszaki Kar : program és előadáskivonatok = Mathematics in architecture and civil engineering design and education : May 26-28, 2011",
title = "The Box Packing – A Mathematical Concept Interpreted Architecturally",
pages = "41-41",
url = "https://hdl.handle.net/21.15107/rcub_raf_1173"
}

Devetakovic, M., Petrusevski, L.,& Kijanovic, J.. (2011). The Box Packing – A Mathematical Concept Interpreted Architecturally. in Matematika az építész és építőmérnöki tervezésben és oktatásban : 2011. május 26-28., Pécsi Tudományegyetem Pollack Mihály Műszaki Kar : program és előadáskivonatok = Mathematics in architecture and civil engineering design and education : May 26-28, 2011
University of Pécs Pollack Mihály Faculty of Engineering., 41-41.
https://hdl.handle.net/21.15107/rcub_raf_1173

Devetakovic M, Petrusevski L, Kijanovic J. The Box Packing – A Mathematical Concept Interpreted Architecturally. in Matematika az építész és építőmérnöki tervezésben és oktatásban : 2011. május 26-28., Pécsi Tudományegyetem Pollack Mihály Műszaki Kar : program és előadáskivonatok = Mathematics in architecture and civil engineering design and education : May 26-28, 2011. 2011;:41-41.
https://hdl.handle.net/21.15107/rcub_raf_1173 .

Devetakovic, Mirjana, Petrusevski, Ljiljana, Kijanovic, Jelena, "The Box Packing – A Mathematical Concept Interpreted Architecturally" in Matematika az építész és építőmérnöki tervezésben és oktatásban : 2011. május 26-28., Pécsi Tudományegyetem Pollack Mihály Műszaki Kar : program és előadáskivonatok = Mathematics in architecture and civil engineering design and education : May 26-28, 2011 (2011):41-41,
https://hdl.handle.net/21.15107/rcub_raf_1173 .