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Formation of a 3D Particle Array Actuated by Ultrasonic Traveling Waves in a Regular Polygon Resonator [PDF]

open access: yesMicromachines, 2022
Acoustic radiation forces have been extensively studied regarding static particles, cell patterning, and dynamic transportation. Compared with standing wave manipulation, traveling wave manipulation can be more easily modulated in real time and has no ...
Fei Wan   +7 more
doaj   +2 more sources

Constructive geometric generating of concave pyramids of fourth sort [PDF]

open access: yesFME Transactions, 2021
The paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application.
Mišić Slobodan Ž.   +1 more
doaj   +1 more source

Polygons of quantized vortices in nonlinear photonic waveguides [PDF]

open access: yesEPJ Web of Conferences, 2023
In a nonlinear optical waveguide with defocusing Kerr-type nonlinearity, we discuss the existence of a type of stationary nonlinear waves with propagation-invariant density profiles, consisting of vortices located at the vertices of a regular polygon ...
Michinel Humberto   +2 more
doaj   +1 more source

Parametric methods for constructing the Islamic ornament [PDF]

open access: yesE3S Web of Conferences, 2021
The article discusses the method of algorithmic construction of Islamic ornaments, which can be used as a decorative element in architectural design. Two necessary stages are highlighted in the generation of an ornamental motif by means of algorithmic ...
Nadyrshine Neil   +4 more
doaj   +1 more source

Stokes polyhedra for $X$-shaped polyminos [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
Consider a pair of $\textit{interlacing regular convex polygons}$, each with $2(n + 2)$ vertices, which we will be referring to as $\textit{red}$ and $\textit{black}$ ones.
Yu. Baryshnikov   +3 more
doaj   +1 more source

Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem

open access: yesUniverse, 2023
We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N
Jian Chen, Peng Bi, Mingfang Yang
doaj   +1 more source

Some addition to the development of mathematical support for transport navigation [PDF]

open access: yesE3S Web of Conferences, 2022
Formed in the 1960s, the classical methods of guaranteeing estimation are applied to provide navigation for various modes of transport. Many works of both foreign and domestic authors are devoted to the application of this method.
Ovchintsev Mikhail
doaj   +1 more source

Kink-free deformations of polygons [PDF]

open access: yes, 1989
We consider a discrete version of the Whitney-Graustein theorem concerning regular equivalence of closed curves. Two regular polygons P and P’, i.e. polygons without overlapping adjacent edges, are called regularly equivalent if there is a continuous one-
Vegter, Gert
core   +2 more sources

Constructing and Visualizing Uniform Tilings

open access: yesComputers, 2023
This paper describes a system which takes user input of a pattern of regular polygons around one vertex and attempts to construct a uniform tiling with the same pattern at every vertex by adding one polygon at a time.
Nelson Max
doaj   +1 more source

Spin-orbit induced interference in polygon-structures [PDF]

open access: yes, 2004
We investigate the spin-orbit induced spin-interference pattern of ballistic electrons travelling along any regular polygon. It is found that the spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit constants as well as on the ...
B. L. Al’tshuler   +8 more
core   +3 more sources

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