Titlebook: Rigidity and Symmetry; Robert Connelly,Asia Ivić Weiss,Walter Whiteley Book 2014 Springer Science+Business Media New York 2014 Cauchy iden

Mundane

饮料

adhesive

粗鄙的人

NIL

Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces, pseudo-Euclidean space (. with a metric of indefinite signature). We show that a graph is generically globally rigid in Euclidean space iff it is generically globally rigid in a complex or pseudo-Euclidean space. We also establish that global rigidity is always a generic property of a graph in comp

高深莫测

审问

Globally Linked Pairs of Vertices in Rigid Frameworks, . are . if the corresponding edges in the two frameworks have the same length. A pair of vertices {., .} is . in . if the distance between the points corresponding to . and . is the same in all pairs of equivalent generic realizations of ..In this paper we extend our previous results on globally li

Mundane

Beauville Surfaces and Groups: A Survey,with them. A Beauville surface . is a complex surface formed from two orientably regular hypermaps of genus at least 2 (viewed as compact Riemann surfaces and hence as algebraic curves), with the same automorphism group . acting freely on their product. The following questions are discussed: Which g

命令变成大炮

Rigidity of Regular Polytopes,polygons . (reduced to lowest terms) in orthogonal planes, with . giving the linear apeirogon and 2 the digon (line segment). More generally, it may be possible to specify the . or similarity class of a geometric regular polytope by means of a fine Schläfli symbol, whose data contain information abo

名字的误用

Hereditary Polytopes,of polytopes which are called hereditary. Regular polytopes are by definition hereditary, but the other polytopes in this class are interesting, have possible applications in modeling of structures, and have not been previously investigated. This paper establishes the basic theory of hereditary poly