Results 1 to 10 of about 1,198,180 (374)
Outer billiard outside regular polygons [PDF]
Journal of the London Mathematical Society, 2011. Number 83 volume
2, 301-323, 2009 We consider outer billiard outside regular convex polygons. We deal with the case of regular polygons with $\{3,4,5,6,10\}$ sides, and we describe the symbolic dynamics of the map and compute the complexity of the language.
Nicolas Bédaride, Julien Cassaigne
arxiv +10 more sources
The Perceived Beauty of Regular Polygon Tessellations
Symmetry, 2019 Beauty judgments for regular polygon tessellations were examined in two experiments. In experiment 1 we tested the three regular and eight semi-regular tilings characterized by a single vertex.
Jay Friedenberg
doaj +2 more sources
An inequality for regular near polygons [PDF]
European Journal of Combinatorics, 2003 Let $G$ denote a near-polygon distance-regular graph with diameter $d\geq 3$, valency $k$ and intersection numbers $a_1>0$, $c_2>1$. Let $ _1$ denote the second largest eigenvalue for the adjacency matrix of $G$. We show $ _1$ is at most $(k-a_1-c_2)/(c_2-1)$. We show the following are equivalent: (i) Equality is attained above; (ii) $G$ is $Q$-
Paul Terwilliger, Chih-wen Weng
openalex +4 more sources
Note on the Chromatic Number of Minkowski Planes: The Regular Polygon Case [PDF]
Studia scientiarum mathematicarum Hungarica (Print), 2023 The famous Hadwiger–Nelson problem asks for the minimum number of colors needed to color the points of the Euclidean plane so that no two points unit distance apart are assigned the same color.
Panna Gehér
openalex +3 more sources
Formation of a 3D Particle Array Actuated by Ultrasonic Traveling Waves in a Regular Polygon Resonator [PDF]
Micromachines, 2022 Acoustic radiation forces have been extensively studied regarding static particles, cell patterning, and dynamic transportation. Compared with standing wave manipulation, traveling wave manipulation can be more easily modulated in real time and has no ...
Fei Wan +7 more
doaj +2 more sources
Distance Distributions in Regular Polygons [PDF]
IEEE Transactions on Vehicular Technology, 2013 This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon.
Salman Durrani +3 more
core +6 more sources
Buckling loads of columns of regular polygon cross-section with constant volume and clamped ends
Electronic Journal of Structural Engineering, 2002 A numerical method is developed for calculating the buckling loads of tapered columns of regular polygon cross-section with constant volume and both clamped ends. The linear, parabolic and sinusoidal tapers are considered in numerical examples. From the
Byoung Koo Lee, Sang Jin Oh, Guangfan Li
doaj +3 more sources
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 +3 more sources
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
core +4 more sources
Card-Based Protocols Using Regular Polygon Cards [PDF]
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2017 SUMMARY Cryptographic protocols enable participating parties to compute any function of their inputs without leaking any information beyond the output. A card-based protocol is a cryptographic protocol implemented by physical cards.
Kazumasa Shinagawa +7 more
openalex +2 more sources