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Theory Of Interference Of Large Molecules
(AIP Conference Proceedings, 2007)
In the experiments with large molecules, the diameter of particles has approached the width of the slits. Therefore, a theoretical description of these cases should include a finite particle size. We are developing a theory ...
Biomimetic approach to parametric flower modeling
(19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil, 2021)
A sustainable design based on biomimicry can still fulfill the functional needs of humans and be
visually satisfying by representing man's connection to nature. Biomorphic means life, living forms,
it’s often associated ...
Improvement recommendations for railway infrastructure maintenance
(EDP Sciences, 2020)
Based on the railway network performance, Infrastructure Manager is obligated to define the Maintenance plan for railway infrastructure, which contains corresponding values for intervention limits and alert limits. This ...
Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction
(Timişoara: Editura Politehnica, 2013)
The starting constructions is the well known ellipse construction using the concentric circles c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of the transformation in the center ...
Possibilities of Deltahedral Concave Cupola Form Application in Architecture
(Iasi: The Gheorghe Asachi Technical University of Iasi, 2011)
In recent years, we are witnessing an increasing use of triangular modular building systems, which, especially in representative objects, almost push out the orthogonal system. Considering that deltahedra are assembled of ...
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 ...
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 ...
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 ...