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Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort
(Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade, 2020)
This study presents a continuation of the research on the concave polyhedra of the second sort, adding to this family a new group of related polyhedra. They are formed over a specific type of isotoxal concave polygons that ...
Deltahedral Column Capitals
(Faculty of Mechanical Engineering, University of Belgrade, 2020)
Concave polyhedra of the second sort are a common name for polyhedra whose lateral surface is deltahedral, composed of a double row of equilateral triangles arranged in a 2π polar array over a regular polygonal base. Using ...
The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2020)
At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course,
non-obligatory workshops named “facultative task” are held for the three generations of freshman
students with the aim to give ...
Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier
(Publishing House of the Romanian Academy, 2021)
Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic ...
Visualization of geodynamic changes of terrain using Google Earth Pro and Qgis
(Serbian Society for Geometry and Graphics (SUGIG)Faculty of Mechanical Engineering, University of Belgrade, 2021)
The paper presents a way of visualizing terrain changes in the observed time period, caused by natural disasters such as landslide. The application of the Google Earth Pro application for generation of DSM (Digital Area ...
The impact of the Atmospheric Parameters at Electrooptical Distance Measurements
(International Federation of Surveyors, FIG, 2022)
The electro-optical distance measurement (EDM) instruments are widely used not only in geodesy but also in almost all engineering disciplines and related projects. High accuracy length measurements are required especially ...
An additional student's task at Descriptive Geometry course
(SUGIG - Srpsko udruženje za geometriju i grafikuFaculty of Mechanical Engineering University of Belgrade, 2020)
At the Faculty of Civil Engineering, University of Belgrade, beside the obligatory forms of lectures and exercises, freshmen students have the opportunity to widen their practical experience in application of geometric ...
Chebyshev polynomials and r-circulant matrices
(Applied Mathematics and Computation, 2022)
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are ...
Concave Deltahedral Rings Based on the Geometry of Concave Antiprisms of the Second Sort
(Birkhäuser, Cham, 2022, 2022)
Finding a possibility to create unique polyhedral surfaces with such specific geometric regularities as the congruence of faces, a high level of symmetry and the ability to describe an infinite polyhedron, served as a ...
Poset cone and weighted P−partitions enumerator
(Kongres mladih matematičara u Novom Sadu KMMNS2 Septembar, 29 – Oktobar, 1, 2022 Novi Sad, Srbija, 2022)
For a poset P on [n] we associate the poset cone C_P := cone{e_i − e_j : i <_P j}, where e_1, e_2, . . . , e_n are the standard basis vectors in R^n. The normal fan N(C_P) of this polyhedron is a coarsening of a subfan of ...