Results 51 to 60 of about 1,212,069 (375)
Two Non-Congruent Regular Polygons Having Vertices at the Same Distances from the Point [PDF]
arXiv, 2022 For the given regular plane polygon and an arbitrary point in the plane of the polygon, the distances from the point to the vertices of the polygon are defined. We proved that there is one more non-congruent regular polygon having the vertices at the same distances from the point.
arxiv
A scattering model of 1D quantum wire regular polygons [PDF]
, 2015 We calculate the quantum states of regular polygons made of 1D quantum wires treating each polygon vertex as a scatterer. The vertex scattering matrix is analytically obtained from the model of a circular bend of a given angle of a 2D nanowire.
Estarellas, Cristian, Serra, Llorenç
core +2 more sources
Spin-orbit induced interference in polygon-structures [PDF]
, 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
The number of perpendicularly inscribed polygons that intersect a given side in an odd sided regular polygon [PDF]
arXiv, 2021 The goal of this paper is to determine the number of perpendicularly inscribed polygons that intersect a given side of a regular polygon with an odd number of sides. This is done using circular permutations with repetition, and some special cases are calculated via circulant matrices and the Binomial Theorem.
arxiv
Rigidity transitions in zero-temperature polygons [PDF]
, 2022 We study geometrical clues of a rigidity transition due to the emergence of a system-spanning state of self stress in under-constrained systems of individual polygons and spring networks constructed from such polygons. When a polygon with harmonic bond edges and an area spring constraint is subject to an expansive strain, we observe that convexity of ...
arxiv +1 more source
METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS
Journal of Industrial Design and Engineering Graphics, 2016 The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge.
Daniel Dobre
doaj +4 more sources
Generalized Petersen graphs and Kronecker covers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 The family of generalized Petersen graphs $G(n,k)$, introduced by Coxeter et al. [4] and named by Mark Watkins (1969), is a family of cubic graphs formed by connecting the vertices of a regular polygon to the corresponding vertices of a star polygon. The
Matjaž Krnc, Tomaž Pisanski
doaj +1 more source
Two Regular Polygons with a Shared Vertex [PDF]
arXiv, 2022 For two non-congruent regular polygons of the same type, the method of finding the points in the plane at the equal distances to the vertices, is established. The existence of two points with this property is proved for two polygons with a shared vertex.
arxiv
An isoperimetric problem for point interactions
, 2004 We consider Hamiltonian with $N$ point interactions in $\R^d, d=2,3,$ all with the same coupling constant, placed at vertices of an equilateral polygon $\PP_N$. It is shown that the ground state energy is locally maximized by a regular polygon.
Abramowitz M S +9 more
core +1 more source
Linear best method for recovering the second derivatives of Hardy class functions [PDF]
E3S Web of Conferences, 2020 The linear best method for approximating the second derivatives of Hardy class functions defined in the unit circle at zero in accordance with the information about their values in a finite number of points forming a regular polygon is found.
Ovchintsev Mikhail
doaj +1 more source