DOI: 10.68381/jca22014 ISSN: 0944-6532
Right Triple Convex Completion
Liping Yuan, Tudor Zamfirescu
A set M in
\mathbb{R}^d
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
∠
x
y
z
=
π
/
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