Results 21 to 30 of about 5,540 (120)
Packing ovals in optimized regular polygons [PDF]
Journal of Global Optimization, 2019 Submitted for publication November ...
Frank J. Kampas +2 more
openaire +3 more sources
On the Polynomials Orthogonal on Regular Polygons
Journal of Approximation Theory, 1999 AbstractThe two-parameter Pastro–Al-Salam–Ismail (PASI) polynomials are known to be bi-orthogonal on the unit circle with continuous weight function when ...
openaire +2 more sources
Outer billiard outside regular polygons [PDF]
Journal of the London Mathematical Society, 2011 53 pages, 12 ...
Bedaride, Nicolas, Cassaigne, Julien
openaire +5 more sources
A characterization of affinely regular polygons [PDF]
Aequationes mathematicae, 2018 In 1970, Coxeter gave a short and elegant geometric proof showing that if $p_1, p_2, \ldots, p_n$ are vertices of an $n$-gon $P$ in cyclic order, then $P$ is affinely regular if, and only if there is some $ \geq 0$ such that $p_{j+2}-p_{j-1} = (p_{j+1}-p_j)$ for $j=1,2,\ldots, n$.
openaire +4 more sources
Formation of a 3D Particle Array Actuated by Ultrasonic Traveling Waves in a Regular Polygon Resonator. [PDF]
Micromachines (Basel), 2022 Wan F +7 more
europepmc +1 more source
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane. [PDF]
J Nonlinear Sci, 2022 de la Hoz F, Kumar S, Vega L.
europepmc +1 more source
, 2018 A $\textit{regular polygon surface}$ $M$ is a surface graph $( , )$ together with a continuous map $ $ from $ $ into Euclidean 3-space which maps faces to regular Euclidean polygons. When $ $ is homeomorphic to the sphere and the degree of every face of $ $ is five, we prove that $M$ can be realized as the boundary of a union of dodecahedra ...
openaire +2 more sources
Stress Superposition Method and Mechanical Properties Analysis of Regular Polygon Membranes. [PDF]
Materials (Basel), 2021 Peng T +5 more
europepmc +1 more source
The kissing number of the regular polygon
Discrete Mathematics, 1998 AbstractLet Pn be an arbitrary regular polygon with n sides. What is the maximum number k(Pn) of congruent regular polygons (copies of Pn) that can be arranged so that each touches Pn but no two of them overlap? Youngs (1939), Klamkin (1995) and others established that k(P3) = 12, k(P4) = 8 and k(P6) = 6.
openaire +2 more sources
Ars Mathematica Contemporanea, 2018 Let M = M ( Ω ) be any triangle-free tiling of a planar polygonal region Ω with regular polygons. We prove that its face vector f ( M ) = ( f 3 , f 4 , f 5 , …) , its symmetry group S ( M ) and the tiling M itself are uniquely determined by its boundary angles code c a ( M ) = c a ( Ω ) = ( t 1 , …, t r ) , a ...
openaire +3 more sources