Results 11 to 20 of about 5,540 (120)
Applied Mathematics Letters, 1998 AbstractThe symmetric difference area functional is minimized for a pair of planar convex polygons. Two solution procedures are outlined: a direct constructive methodology and a support function formulation. Examples illustrate the solution methodology.
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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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Regular polygonal complexes in space, I [PDF]
Transactions of the American Mathematical Society, 2010 A polygonal complex in euclidean 3-space is a discrete polyhedron-like structure with finite or infinite polygons as faces and finite graphs as vertex-figures, such that a fixed number r of faces surround each edge. It is said to be regular if its symmetry group is transitive on the flags.
Egon Schulte, Daniel Pellicer
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Elemente der Mathematik, 2005 are the sides of a regular (n, k)-gon (see Fig. 1). The regular (n, 1)-gon is an ordinary regular n-gon with directed sides. The regular (n, n − 1)-gon is the same ordinary regular n-gon, only the orientation of the sides are the opposite. For 2 ≤ k ≤ n − 2 a regular (n, k)-gon is a star polygon.
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On Dirichlet eigenvalues of regular polygons
Journal of Mathematical Analysis and Applications15 ...
Berghaus, David +3 more
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Circle packing in regular polygons
Physics of Fluids, 2023 We study the packing of a large number of congruent and non-overlapping circles inside a regular polygon. We have devised efficient algorithms that allow one to generate configurations of N densely packed circles inside a regular polygon, and we have carried out intensive numerical experiments spanning several polygons (the largest number of sides ...
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Vortex filament equation for a regular polygon [PDF]
Nonlinearity, 2014 In this paper, we study the evolution of the vortex filament equation (VFE), $$\mathbf X_t = \mathbf X_s \wedge \mathbf X_{ss},$$ with $\mathbf X(s, 0)$ being a regular planar polygon. Using algebraic techniques, supported by full numerical simulations, we give strong evidence that $\mathbf X(s, t)$ is also a polygon at any rational time; moreover, it ...
Luis Vega +2 more
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Some contributions to Regular Polygons
, 2016 9 pages, 4 ...
ÖNCEL, Deniz, KİRİŞÇİ, Murat
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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 ...
Laércio Dias, Fernando Parisio
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On m-ovoids of regular near polygons [PDF]
Designs, Codes and Cryptography, 2017 We generalise the work of Segre (1965), Cameron - Goethals - Seidel (1978), and Vanhove (2011) by showing that nontrivial $m$-ovoids of the dual polar spaces $DQ(2d, q)$, $DW(2d-1,q)$ and $DH(2d-1,q^2)$ ($d\ge 3$) are hemisystems. We also provide a more general result that holds for regular near polygons.
John Bamberg +2 more
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