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  - 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 .