Results 61 to 70 of about 1,212,069 (375)
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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Research about the number of D-points of -tiling in given ellipse
Journal of Hebei University of Science and Technology, 2017 An Archimedean tiling is a tiling of the plane by one type of regular polygon or several types of regular polygons, and every vertex of the tiling has the same vertex characteristics.
Xianglin WEI, Weiqi WANG
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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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Radial Vibration of a Regular Polygon Composite Piezoelectric Ultrasonic Transducer
, 2016 ： The regular polygon composite piezoelectric ultrasonic transducer is studied. The transducer consists of a metal inner core, a regular polygon of rectangular piezoelectric ceramic piles and a prestress metal tube. Using the piezoelectric ceramic piles,
Li Luhua, L. Shiqing, Li Dan
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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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Deployable Arches Based on Regular Polygon Geometry [PDF]
, 2017 This paper discusses a deployable-arch-structure design that is built using articulated bars, commonly called a scissor-system, and is based on the regular polygon geometry.
Peña Villamil, Diana Maritza +1 more
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Establishment and biological characterization of radioresistant colorectal cancer cell lines
FEBS Open Bio, EarlyView.Under ionizing radiation exposure, radiation‐sensitive cancer cells exhibit oxidative stress and DNA damage, while radiation‐resistant cancer cells exhibit strong antioxidant properties and DNA damage repair. Radiotherapy resistance is a major cause of recurrence and metastasis in colorectal cancer (CRC).
Tian‐Yin Qu +10 more
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UNFOLDED REGULAR AND SEMI-REGULAR POLYHEDRA
Journal of Industrial Design and Engineering Graphics, 2015 This paper proposes a presentation unfolding regular and semi-regular polyhedra. Regular polyhedra are convex polyhedra whose faces are regular and equal polygons, with the same number of sides, and whose polyhedral angles are also regular and equal ...
Elena Ionita +2 more
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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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A Geometric proof for the Polygonal Isoperimetric Inequality [PDF]
arXiv, 2023 Gradients of the perimeter and area of a polygon have straightforward geometric interpretations. The use of optimality conditions for constrained problems and basic ideas in triangle geometry show that polygons with prescribed area minimizing the perimeter must be regular.
arxiv