Results 21 to 30 of about 6,328 (160)
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
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Double pyramidal central configurations of Newtonian (N+2)-body problem
Results in PhysicsFor double pyramidal central configurations of the Newtonian (N+2)-body problem where N point particles are positioned at the vertices of a regular N-polygon, and the (N+1)-th and (N+2)-th point-particles are positioned the opposite sides of the plane ...
Liang Ding, Jinrong Wang, Jinlong Wei
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Ars Mathematica Contemporanea, 2018 Summary: Let \(M = M(\Omega)\) be any triangle-free tiling of a planar polygonal region \(\Omega\) with regular polygons. We prove that its face vector \(f(M) = (f_3, f_4, f_5, \ldots)\), its symmetry group \(S(M)\) and the tiling \(M\) itself are uniquely determined by its boundary angles code \(c_a(M) = c_a(\Omega) = (t_1, \ldots, t_r)\), a cyclical ...
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A Regular Quaternion Polygon [PDF]
Canadian Mathematical Bulletin, 1959 Repeated application of the unitary reflectionsto the point (1,0) and line x + iy = 1 yields 24 points and 24 lines. These are the vertices and edges of the regular complex polygon 4 {3} 4 whose group has the abstract definition R4 = I, RSR = SRS [l]. The purpose of this note is to introduce the notion of regular quaternion polygon and give an example ...
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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
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CQD Revista Eletrônica Paulista de MatemáticaEstimating the apothem of regular polygons may be required in academical and real-life situations such as for calculating the area of regular polygons and the volume of prisms and pyramids.
Sergio Roberto Peres Line +1 more
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Equivariant Semidefinite Lifts of Regular Polygons [PDF]
Mathematics of Operations Research, 2017 Given a polytope P ⊂ ℝn, we say that P has a positive semidefinite lift (psd lift) of size d if one can express P as the projection of an affine slice of the d × d positive semidefinite cone. Such a representation allows us to solve linear optimization problems over P using a semidefinite program of size d and can be useful in practice when d is much ...
Fawzi, Hamza +2 more
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The Evolution of the Local Induction Approximation for a Regular Polygon *
ESAIM: Proceedings and Surveys, 2014 In this paper, we consider the so-called local induction approximation (LIA): $$ \Xt = \Xs\wedge\Xss, $$ X
de la Hoz Francisco, Vega Luis
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Research about the number of D-points of -tiling in given ellipse
Journal of Hebei University of Science and Technology, 2017 An Archimedean tiling is a tiling of the plane by one type of regular polygon or several types of regular polygons, and every vertex of the tiling has the same vertex characteristics.
Xianglin WEI, Weiqi WANG
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Minimal fragmentation of regular polygonal plates [PDF]
Physical Review E, 2014 Minimal fragmentation models intend to unveil the statistical properties of large ensembles of identical objects, each one segmented in {\it two} parts only. Contrary to what happens in the multifragmentation of a single body, minimally fragmented ensembles are often amenable to analytical treatments, while keeping key features of multifragmentation ...
Dias, Laercio, Parisio, Fernando
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