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Concave Regular Faced Cupolae of Second Sort
(Dresden: Technische Universität Dresden; International Society for Geometry and Graphics (ISGG), 2008)
Cupola is a polyhedron which is consisted of two regular polygons: n-gon and 2n-gon in parallel planes, connected by alternating sequence of squares and equilateral triangles, i.e. Johnson’s solids J3, J4 and J5. However, ...
Transposing an Octogonal Cupola of Second Sort Into a Bionic Polyspherical Form
(Dresden: Technische Universität Dresden; International Society for Geometry and Graphics (ISGG), 2008)
In the paper there is presented a method of transposing a polyhedral structure, composed of two
regular polygons: octagon and hexadecagon as the bases, and the envelope formed of equilateral triangular strip, which is ...
Tiling the Lateral Surface of the Concave Cupolae of the Second Sort
(Birkhauser Verlag AG, 2019)
As architectural structures, concave cupolae of the second sort (CC II) are suitable for prefabrication, thanks to the uniformity of their elementsregular polygons. This paper discusses ways to subdivide the lateral ...
Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry
(Iasi: The Gheorghe Asachi Technical University of Iasi, 2011)
Researching the different types of plane curves with ovoid shape, it has been shown that there are some forms of egg-curves that may be useful for design in engineering, especially in architecture. Increase of energy ...
Concave deltahedral rings based on the geometry of the concave antiprisms of the second sort
(Porto: Aproged - Associação dos Professores de Geometria e de Desenho, 2019)
We have shown that there is a link between the geometry of the CA II-nM’s with bases n∈{3, 4, 5} and that of the convex antiprisms with the same bases. An integer number (K) of CA II-nM’s fragments, can be used to form a ...
Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study
(SAGE Publications Ltd, 2016)
This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on ...
Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation
(Acta Polytechnica Hungarica, 2013)
The paper analyzes the effects of pendulum temperature dilatation on the timepiece running and accounts for the basic mathematical principles that neutralization of these detrimental effects are based upon. Both preliminary ...
Interactive change of lighting in the portrait images
(Univerzitet u Beogradu - Mašinski fakultet, Beograd, 2019)
We are facing a number of applications for altering portrait photographs using the help of artificial intelligence. Apart from the entertainment purposes, modern computer technologies can also help us get dynamic effects ...
A computer verification of a conjecture about the Erdös-Mordell curve
(2013 21st Telecommunications Forum Telfor, TELFOR 2013 - Proceedings of Papers, 2013)
In this paper we consider Erdös-Mordell inequality and its extension in the plane of triangle to the Erdös-Mordell curve. Algebraic equation of this curve is derived, and using modern computer tools in mathematics, we ...
MoNGeometrija 2016
(Univerzitet u Beogradu - Mašinski fakultet, Beograd, 2017)