Corrigenda to ?diffraction by polygons and polyhedra?
نویسندگان
چکیده
منابع مشابه
Approximation by Polygons and Polyhedra
In order to investigate as to what order of magnitude a plane (or a skew) curve can be approximated by w-sided polygons, we have to start from a definition of the deviation. One of the usual definitions is as follows: the deviation ij(H, K) of two curves H and K is the smallest number rj for which H is contained in the neighbourhood of K with radius v\ and conversely K is contained in the neigh...
متن کاملInner Approximation of Polygons and Polyhedra by Unions of Boxes
Given a multiply-connected polygonal area P in the plane and a point set S ⊂ R, where some points of S may lie inside of P , we present a fast approximation method for finding a largest axis-aligned or oriented rectangle contained in P which does not contain any points of S. All standard meanings of “largest” are supported, such as maximum area and maximum perimeter. This heuristic is extended ...
متن کاملAngle counts for isothetic polygons and polyhedra
In the case of isothetic simple polyhedra there are only six different types of 3D angles. This article states and proofs a formula about counts of these angles. This complements formulas in combinatorial topology such as Euler's polyhedron formula, or the previously known formula on angle counts for isothetic polygons. The latter formula and the shown equality for angle counts of isothetic sim...
متن کاملSmall deformations of polygons and polyhedra
We describe the first-order variations of the angles of Euclidean, spherical or hyperbolic polygons under infinitesimal deformations such that the lengths of the edges do not change. Using this description, we introduce a quadratic invariant on the space of first-order deformations of a polygon. For convex polygons, this quadratic invariant has a positivity property, leading to a new proof of t...
متن کاملOn the Centroids of Polygons and Polyhedra
In this paper we introduce the centroid of any finite set of points of the space and we find some general properties of centroids. These properties are then applied to different types of polygons and polyhedra.
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ژورنال
عنوان ژورنال: Siberian Mathematical Journal
سال: 1971
ISSN: 0037-4466,1573-9260
DOI: 10.1007/bf00970304