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Abstract
A set M in R^(d) is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M satisfying angle(xyz) = pi/2. We find here for various families of sets the minimal number of points necessary to add to the sets in order to render them rt-convex
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LY
Liping Yuan
College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P. R. China. and: Hebei Key Laboratory of Computational Mathematics and Applications, 050024 Shijiazhuang, P. R. China
Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1-764, Bucharest 014700, Roumania