Results 31 to 40 of about 69,132 (324)
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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Pattern Recognition, 2010 This paper describes a robust regular polygon detector. Given image edges, we derive the a posteriori probability for a mixture of regular polygons, and thus the probability density function for the appearance of a set of regular polygons. Likely regular polygons can be isolated quickly by discretising and collapsing the search space into three ...
Barnes, Nick, Loy, Gareth, Shaw, David
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A note on affinely regular polygons [PDF]
European Journal of Combinatorics, 2009 The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.
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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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Ergodicity of polygonal slap maps [PDF]
, 2013 Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the sides of a polygon along their normals onto the perimeter of the polygon.
Del Magno, Gianluigi +3 more
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When is a polygon circumscribing a regular polygon again regular?
, 1993 Let \({\mathcal A}\) be a regular \(n\)-gon with vertices \(A_ 1,A_ 2,\ldots,A_ n\) and edge-length =1, which is inscribed in \({\mathcal P}\), an \(n\)-gon with vertices \(P_ 1,P_ 2,\ldots,P_ n\), in such a way that \(A_ 1P_ 1=A_ 2P_ 2=\cdots=A_ nP_ n\). The main results of this paper are given in the following theorem. Theorem 1. If \(n=3\) or 4 or \(
Bennish, J., Gau, Y.D.
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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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Quasi Regular Polyhedra and Their Duals with Coxeter Symmetries Represented by Quaternions I
, 2010 In two series of papers we construct quasi regular polyhedra and their duals which are similar to the Catalan solids. The group elements as well as the vertices of the polyhedra are represented in terms of quaternions. In the present paper we discuss the
Carter R W +10 more
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Applied Mathematics Letters, 1998 Let a convex polygon \(P\) be approximated by a regular polygon \(R_n\) with \(n\) sides such that the area of their symmetric difference, i.e. the region that belongs to exactly one of them, is as small as possible. The author further assumes \(R_n\) to have the same perimeter as \(P\).
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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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