
Journal of Convex Analysis 22 (2015), No. 1, 291301 Copyright Heldermann Verlag 2015 Right Triple Convex Completion 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 lpyuan@mail.hebtu.edu.cn Tudor Zamfirescu Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1764, Bucharest 014700, Roumania tudor.zamfirescu@mathematik.unidortmund.de A set M in R^{d} is rtconvex if every pair of its points is included in a 3point 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 rtconvex. [ Fulltextpdf (194 KB)] for subscribers only. 