Results 151 to 160 of about 1,212,069 (375)
Constructing certain families of 3‐polytopal graphs
Journal of Graph Theory, Volume 102, Issue 3, Page 484-501, March 2023., 2023 Abstract Let n ≥ 3 $n\ge 3$ and R n ${R}_{n}$ be a 3‐polytopal graph such that for every 3 ≤ i ≤ n $3\le i\le n$, R n ${R}_{n}$ has at least one vertex of degree i $i$. We find the minimal vertex count for R n ${R}_{n}$. We then describe an algorithm to construct the graphs R n ${R}_{n}$. A dual statement may be formulated for faces of 3‐polytopes. The
Riccardo W. Maffucci
wiley +1 more source
Regular Polygonal Complexes in Space, II [PDF]
arXiv, 2012 Regular polygonal complexes in euclidean 3-space are discrete polyhedra-like structures with finite or infinite polygons as faces and with finite graphs as vertex-figures, such that their symmetry groups are transitive on the flags. The present paper and its predecessor describe a complete classification of regular polygonal complexes in 3-space.
arxiv
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
Architected Design and Fabrication of Soft Mechanical Metamaterials
Advanced Intelligent Systems, EarlyView.Recent advancements in additive manufacturing and materials have accelerated research into metamaterial structures, enabling engineered designs with unique properties for diverse applications. However, fabricating these complex structures with intricate topologies and hierarchical arrangements presents significant challenges, requiring novel techniques.
Thileepan Stalin +8 more
wiley +1 more source
A Characterization of the Double Point Structure of the Projection of a Polygonal Knot in Regular Position [PDF]
, 1968 L. B. Treybig
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Outer billiards with contraction: regular polygons [PDF]
Dynamical Systems, 2017 17 ...
openaire +3 more sources
Advanced Intelligent Systems, EarlyView.It is known that biomaterial properties (e.g., shape, chemistry) direct how the body reacts to implanted materials. However, what features cause specific responses is not well known. High‐throughput screening can identify instructive properties, but manual feature segmentation in large brightfield image datasets limits discovery.
Robert Owen +10 more
wiley +1 more source
INFLUENCE OF MOTOR MANIFESTATIONS FROM THE EUROFIT PROGRAM FOR CHILDREN ON MOTOR SKILLS AND HABITS AT HIGH SCHOOL FEMALE STUDENTS [PDF]
Sport Mont, 2011 The survey was conducted among 183 regular female students in the secondary education. The objective of the research was to see what was the correlation, i.e.
Viktor Mitrevski +2 more
doaj
On the symplectic volume of the moduli space of Spherical and Euclidean polygons [PDF]
Kodai Math. J. 28 (2005), no. 1, 199--208, 2005 In this paper, we study the symplectic volume of the moduli space of polygons by using Witten's formula. We propose to use this volume as a measure for the flexibility of a polygon with fixed side-lengths. The main result of our is that among all the Spherical and Euclidean polygons with fixed perimeter the regular one is the most flexible and that ...
arxiv
GelLight: Illumination Design, Modeling, and Optimization for Camera‐Based Tactile Sensor
Advanced Intelligent Systems, EarlyView.A systematic modeling and optimization method for camera‐based tactile sensor illumination is proposed, which significantly improves the tactile performance and achieves high geometry reconstruction accuracy. The performance is validated by intensive simulation and real‐world experiments.
Jieji Ren +7 more
wiley +1 more source