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Sur la classification des hexagones hyperboliques à angles droits en dimension 5 François Delgove, Nicolas Retailleau (2014) Annales de la faculté des sciences de Toulouse Mathématiques The aim of this paper is to give a classification of the right-angled hyperbolic hexagons in the real hyperbolic space ℍ ℝ 5 , by using a quaternionic distance between geodesics in ℍ ℝ 5 .