Geodesic
Right quadruple convexity
Ars Mathematica Contemporanea, Tome 14 (2018) no. 1, pp. 25-38.

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A set of four points w, x, y, z ∈ Rd (always d ≥ 2) form a rectangular quadruple if their convex hull is a non-degenerate rectangle. The set M is called rq-convex if for every pair of its points we can find another pair in M, such that the four points form a rectangular quadruple. In this paper we start the investigation of rq-convexity in Euclidean spaces.
DOI : 10.26493/1855-3974.1022.a6a
Keywords: rq-convex sets, parallelotopes, finite sets, Platonic solids 
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Dandan Li; Liping Yuan; Tudor Zamfirescu. Right quadruple convexity. Ars Mathematica Contemporanea, Tome 14 (2018) no. 1, pp. 25-38. doi : 10.26493/1855-3974.1022.a6a. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1022.a6a/

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