Dr Marija Đ. Obradović
bibliography
Theses
- (2006) Toroidni deltaedri sa pravilnom poligonalnom osnovom. PhD thesis. University of Belgrade, Faculty of Architecture, Arhitektonski fakultet, Beograd. [M71]
- (1995) Opšte kolinearna polja sa konjugovano imaginarnim dvostrukim elementima. [M72]
Textbooks
- (2015) Zbirka rešenih zadataka iz Računarske geometrije sa 3D modelovanjem, drugo izmenjeno i dopunjeno izdanje. akademska misao, Beograd. [MU]
- (2015) Računarska geometrija sa 3D Modelovanjem. Akademska misao, Građevinski fakultet Beograd. [MU]
- (2011) Zbirka rešenih zadataka iz računarske geometrije sa 3D modelovanjem. Građevinski fakultet Univerziteta u Beogradu. [MU]
- (2010) Računarska geometrija sa 3D modelovanjem. AGM knjiga, Građevinski fakultet Univerziteta u Beogradu. [MU]
International monographs
- (2022) . In: Viana, Vera and Mena Matos, Helena and Pedro Xavier, João (eds.) Concave Deltahedral Rings Based on the Geometry of Concave Antiprisms of the Second Sort. Springer International Publishing, pp.53–68. DOI: 10.1007/978-3-030-99116-6_4 [M13]
- (2019) Modularity of concave polyhedra of the second sort with octagonal bases. In: ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. 40th Aniversary. DOI: 10.1007/978-3-319-95588-9_81 [M13]
- (2022) Pentagon-Based Radial Tiling with Triangles and Rectangles and Its Spatial Interpretation. [M14]
International journals
- (2014) On the Extension of the Erdos-Mordell Type Inequalities. MATHEMATICAL INEQUALITIES & APPLICATIONS. 17 (1), pp.269-281. [M22]
- (2013) Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation. ACTA POLYTECHNICA HUNGARICA. 10 (8), pp.117-128. [M22]
- (2019) Tiling the Lateral Surface of the Concave Cupolae of the Second Sort. Nexus Network Journal. 21 (1), pp.59-77. DOI: 10.1007/s00004-018-0417-5 [M23]
- (2016) Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study. SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL. 92 (11), pp.981-997. [M23]
- (2014) Are Vauban’s Geometrical Principles Applied in the Petrovaradin Fortress?. NEXUS NETWORK JOURNAL. 16 (3), pp.751-776. [M23]
- (2013) Investigation of concave cupolae based polyhedral structures and their potential application in architecture. Technics Technologies Education Management. 8 (3), pp.1198-1214. [M23]
- (2009) AN APPLICATION OF GROEBNER BASES TO PLANARITY OF INTERSECTION OF SURFACES. FILOMAT. 23 (2), pp.43-55. [M23]
- (2019) Interactive change of lighting in the portrait images. FME Transactions. 47 (2), pp.326-330. DOI: 10.5937/fmet1902326M [M24]
- (2017) Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron. FME Transactions. 45 (2), pp.256-261. [M24]
- (2015) Composite Concave Cupolae as Geometric and Architectural Forms. Journal for Geometry and Graphics. 19 (1), pp.79-91. [M24]
- (2013) On the Properties of the Concave Antiprisms of Second Sort. FME Transactions. 41 (3), pp.256-263. [M24]
- (2012) The Pencil of the 4th an 3th Order Surfaces Obtained as a Harmonic Equivalent of the Pencil of Quadric Through a 4th Order Space Curve of the 1st Category. Facta Universitatis, Series Archictecture and Civil Engineering. 10 (2), pp.193-207. DOI: 10.2298/FUACE1202193D [M24]
International conferences
- (2020) Geometric Properties of the Flower Concave Antiprisms of the Second Sort. In: Proceedings of the 7th International Scientific Conference moNGeometrija 2020. DOI: ISBN: 978-86-6060-046-4 [M31]
- (2021) Visualization of geodynamic changes of terrain using Google Earth Pro and Qgis. In: Proceedings of 8th International Scientific Conference moNGeometrija 2021. DOI: ISBN 978-86-6060-086-0 [M33]
- (2021) Tilings with diamond, star and pineapple shapes based on the geometry of the regular pentagon. In: Proceedings of 8th International Scientific Conference moNGeometrija 2021. DOI: ISBN 978-86-6060-086-0 [M33]
- (2020) Three-Dimensional Rosettes Based on the Geometry of Concave Deltahedral Surfaces. In: Izvor: ЗБОРНИК РАДОВА: ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИОд инспирације до интеракције / PROCEEDINGS: FIRST INTERNATIONAL CONFERENCE SMARTART ART AND SCIENCE APPLIEDFrom Inspiration to Interaction. [M33]
- (2019) Geometric Redesign of the Subdivided Surface of CC II: Application In Architecture. In: Journal of Industrial Design and Engineering Graphics: Papers of the International conference on Engineering Graphics and Design ICEGD 2019. [M33]
- (2018) Geometry behind the position of stairs: balance in the mind. In: Conference Proceedings moNGeometrija 2018. [M33]
- (2018) Interactive relighting of the portrait photographs using face tracking and normal mapping. In: Conference Proceedings moNGeometrija 2018. [M33]
- (2017) Creating 3D shapes by time extrusion of moving objects. In: Proceedings of XX Generative Art Conference. [M33]
- (2016) Composite Polyhedral Forms Obtained by Combining Concave Pyramids of the Second Sort with Archimedean Solids. In: Proceedings of the 5th International Scientific Conference on Geometry and Graphics, moNGeometrija 2016. [M33]
- (2016) Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron. In: Proceedings of the 5th International Scientific Conference on Geometry and Graphics, moNGeometrija 2016. [M33]
- (2015) Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides. In: Journal of Industrial Design and Engineering Graphics (JIDEG) The SORGING Journal. [M33]
- (2014) Composite Concave Cupolae as Geometric and Architectural Forms. In: Proceedings of the 16th International Conference on Geometry and Graphics, Innsbruck Austria. [M33]
- (2014) The Structural Transformation of Concave Cupolae of Fourth Sort Using Different Variants of Constructive Procedure, 4th International Scientific Conference on Geometry and Graphics. In: Proceedings of 4th International Conference for Geometry and Graphics MoNGeometrija 2014. [M33]
- (2014) Application of Curves and Surfaces of Higher Orders Obtained by Inversion in the Practice of Architecture. In: Proceedings of the 16th International Conference on Geometry and Graphics, Innsbruck Austria. [M33]
- (2014) Concave Pyramids of Second Sort -The Occurrence, Types, Variations. In: Proceedings of the 4th International Scientific Conference on Geometry and Graphics, moNGeometrija 2014. [M33]
- (2014) Geometrical Characteristics and Solid Modeling of the Grasshopper Escapement Mechanism. In: 4th International Scientific Conference monGeometrija. [M33]
- (2013) A computer verification of a conjecture about the Erdös-Mordell curve. In: Telecommunications Forum (TELFOR), 2013 21st. [M33]
- (2013) Generating a Type of Concave Cupolae of Fourth Sort. In: Scientific Bulletin of the "POLITEHNICA" University of Timişoara. [M33]
- (2013) Generating Curves of Higher Order Using the Generalisation of Hügelschäffer Egg Curve construction. In: Scientific Bulletin of the "POLITEHNICA" University of Timişoara. [M33]
- (2012) Investigating Composite Polyhedral forms obtained by combining concave cupolae of II sort with Archimedean Solids. In: Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. [M33]
- (2012) Development of 3D Object Model by Applying Google Sketchup Software Package. In: Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. [M33]
- (2012) One Application of the Cone Surfaces on the Erdosh-Mordell inequality. In: Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. [M33]
- (2012) A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort. In: Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. [M33]
- (2012) Concave Antiprisms of Second Sort with Regular Polygonal Bases. In: Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. [M33]
- (2011) Possibilities of Deltahedral Concave Cupola Form Application in Architecture. In: Proceedings of ICEGD Conference, Iasi 2011 Buletinul Institutului Politehnic din Iaşi. [M33]
- (2011) Suitability Analysis of Hugelschaffer’s Egg Curve Application in Architectural Structures Geometry. In: Buletinul Institutului Politehnic din Iaşi, Proceedings of ICEGD Conference, Iasi 2011. [M33]
- (2011) Solid Modeling and Motion Study of Chronometer Detent Escapement Mechanism. In: Buletinul Institutului Politehnic din Iaşi, Proceedings of ICEGD Conference, Iasi 2011. [M33]
- (2010) Conic Section as a Type of Egg Curve Based Conoid. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Constructing the Egg Curves Using the Golden Ratio of Pentagon. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Solving the Situation of Airport Bled by Digital Terrain Modeling Using the Software Package Rinoceros. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Forming the Cupolae With Concave Polyhedral Surfaces by Corrugating a Fourfold Strip of Equilateral Triangles. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Developement Of Digital Model Of Terrain (Dmt) Using Autocad And Surfing Software Packages. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Seminary Paper as an Additional Task in Teaching Descriptive Geometry. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2010) Complement of the Hugelschaffers Construction of the Egg Curve. In: Proceedings of the 25th National and 2th International Conference for Geometry and Graphics, MoNGeometrija 2010. [M33]
- (2008) Prostorna interpretacija Hugelschaffer-ove konstrukcije jajaste krive. In: Proceedings of 24th National and International Scientific Convention, moNGeometrija 2008, Vrnjačka Banja. [M33]
- (2008) Pseudo Symmetry of General Collinear Planes. In: Proceedings of the 13th International Conference on Geometry and Graphic, Dresden, Germany. [M33]
- (2008) Concave Regular Faced Cupolae of Second Sort. In: Proceedings of 13th International Conference on Geometry and Graphic. [M33]
- (2008) Transposing an Octogonal Cupola of Second Sort Into a Bionic Polyspherical Form. In: Proceedings of the 13th International Conference on Geometry and Graphic, Dresden, Germany. [M33]
- (2008) Konkavna kupola nad hendekagonalnom osnovom. In: Proceedings of 24th National and International Scientific Convention, moNGeometrija 2008, Vrnjačka Banja. [M33]
- (2008) Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme prostorne rešetke. In: Proceedings of 24th National and International Scientific Convention, moNGeometrija 2008, Vrnjačka Banja. [M33]
- (1996) Affine Conform Planes as the Special Cases of General Collinear Planes. In: Proceedings of 7th ICECGDG Cracow, Poland. [M33]
- (1996) The Geometrical Loci of Laguerres points of Perspective elliptical Involuted Sets. In: Proceedings of 7th ICECGDG Cracow, Poland. [M33]
- (2019) Concave deltahedral rings based on the geometry of the concave antiprisms of the second sort. In: GEOMETRIAS19: BOOK OF ABSTRACTS. DOI: 10.24840/978-989-98926-8-2 [M34]
- (eds.) (2016) Proceedings of the 5th International Scientific Conference on Geometry and Graphics, moNGeometrija 2016. [M36]
National conferences
- (2006) Pravilne konkavne kupole druge vrste. In: Zbornik radova XXIII Konferencije za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2006, Novi Sad. [M63]
- (2006) Zlatni presek i pravilne konkavne bikupole druge vrste. In: Zbornik radova XXIII Konferencije za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2006, Novi Sad. [M63]
- (2006) Konstruktivna obrada hiperboličke spirale kao centralne projekcije cilindrične zavojnice. In: Zbornik radova XXIII Konferencije za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2006, Novi Sad. [M63]
- (2006) Istraživanje geometrijskog predznanja studenata prve godine građevinskog fakulteta u Beogradu. In: Zbornik radova XXIII Konferencije za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2006, Novi Sad. [M63]
- (2004) Istraživanje geometrijskih pravilnosti šezdesetostranog toroidnog deltaedra. In: Zbornik radova XXI Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2004, Beograd. [M63]
- (2004) Krive jajastog oblika u Nacrtnoj geometriji. In: Zbornik radova XXII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2004, Beograd. [M63]
- (2004) Neadekvatnosti linearne perspektive. In: Zbornik radova XXII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2004, Beograd. [M63]
- (2002) Crtanje pravilnih poliedara u jednoj ortogonalnoj projekciji. In: Zbornik radova XXI Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2002, Virpazar. [M63]
- (2000) Iznalaženje direktne veze između jedne realne dvostruke prave i žiža OK polja. In: Zbornik radova XX Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 2000, Niš. [M63]
- (1997) Projektovanje objektno orijentisanog softvera u kompjuterskoj grafici. In: Zbornik radova XIX Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 97, Novi Sad. [M63]
- (1997) Otkrivanje obrtnih konuseva zadatih ravnim presekom po elipsi i pravcem ravni kružnog preseka. In: Zbornik radova XIX Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 97, Novi Sad. [M63]
- (1995) Opšte afina konformna polja kao specijalni slučajevi Opšte kolinearnih polja. In: Zbornik radova XVIII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 95. [M63]
- (1995) Geometrijska mesta žiža Opšte kolinearnih polja nastalih centralnom projekcijom pramena paralelnih ravni koje vrše osnu rotaciju. In: Zbornik radova XVIII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 95. [M63]
- (1995) Opšte kolinearna polja sa konjugovano imaginarnim dvostrukim elementima izvod iz magistarskog rada. In: Zbornik radova XVIII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 95. [M63]
- (1995) Stvaranje perspektivnih slika homotetičnih originalu primenom teorije OK polja. In: Zbornik radova XVIII Jugoslovenskog savetovanja za Nacrtnu geometriju i inženjersku grafiku MonGEometrija 95. [M63]
- (2009) About Planar Sections of a Type of egg Curve Based Conoid. In: Book of Abstracts of XVIII Conference on Applied Mathematics PRIM 2009, Subotica. [M65]
Miscellaneous
- (2020) Deltahedral Column Capitals. [M]
- (2020) Dimensions reflected - catalog. [M]
- (2018) Spatial forms created by time extrusion of moving objects. [M]
- (2010) Forming a Regular Pentagon, Decagon and Pentagram Using Origami Technique. Visual Mathematics. 12 (3), pp.1-12. [M]
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