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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 ...
Spatial forms create by time extrusion of moving objects
(Novi Sad: Digital Design Center / Department of Architecture / Faculty of Technical Sciences, University of Novi SadBeograd: Serbian Society for Geometry and Graphics (SUGIG), 2018)
The idea for this design came from investigation of forms created as “time imprint” of moving 2D and 3D objects through space, while simultaneously changing their transformations: translation, rotation, scaling, etc. The ...
Three-Dimensional Rosettes Based on the Geometry of Concave Deltahedral Surfaces
(Факултет примењених уметности, Београд, 2020 Faculty of Applied Arts, Belgrade, 2020, 2020)
In this paper concave deltahedral surfaces are applied to link the two concepts of geometric rosette design – the polar distribution of the unit element (circular arc) around the center of the contour circle and the rosettes ...
On the properties of the concave antiprisms of second sort / O osobinama konkavnih antiprizmi druge vrste
(Univerzitet u Beogradu - Mašinski fakultet, Beograd, 2013)
The paper examines geometrical, static and dynamic properties of the polyhedral structures obtained by folding and creasing the two-rowed segment of equilateral triangular net. Bases of these concave polyhedra are regular, ...
The pencil of the 4th and 3rd order surfaces obtained as a harmonic equivalent of the pencil of quadrics through a 4th order space curve of the 1st category / Pramen površi 4. i 3. reda dobijen kao harmonijski ekvivalent pramena kvadrika kroz prostornu krivu 4. reda 1. vrste
(Univerzitet u Nišu, Niš, 2012)
This paper shows the process of inverting the 4th ordered space curve of the first category with a self-intersecting point (with two planes of symmetry) and determining its harmonic equivalent. There are harmonic equivalents ...
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 ...
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 ...
Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units
(International Journal of Refrigeration-Revue Internationale Du Froid, 2012)
A mathematical model for heat transfer from surrounding environment to a single food package is developed. A simplified analytical solution for three-dimensional (3D) unsteady temperature distribution in the food package ...
Estimation of temperature transfer function in facade wall heat transport / Određivanje transfer funkcije temperature pri prolasku toplote kroz fasadni zid
(Građevinski fakultet, Subotica, 2017)
The Complement of the Hugelschaffer’s Construction of the Egg Curve
(Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG), 2010)
Hügelschäffer’s construction, based on the distortion of the
ellipse construction, provides an egg-shaped curve. This curve is a
mixed cubic curve, the cubic hyperbolic parabola of type A. Curve is a
three-branched and ...