Geodesic
Right Triple Convex Completion
Journal of convex analysis, Tome 22 (2015) no. 1, pp. 291-301
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A set M in Rd 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. 
@article{JCA_2015_22_1_JCA_2015_22_1_a13,
     author = {L. Yuan and T. Zamfirescu},
     title = {Right {Triple} {Convex} {Completion}},
     journal = {Journal of convex analysis},
     pages = {291--301},
     year = {2015},
     volume = {22},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_1_JCA_2015_22_1_a13/}
}
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L. Yuan; T. Zamfirescu. Right Triple Convex Completion. Journal of convex analysis, Tome 22 (2015) no. 1, pp. 291-301. http://geodesic.mathdoc.fr/item/JCA_2015_22_1_JCA_2015_22_1_a13/