Geodesic
On the boundary of 2-dimensional ideal polyhedra
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 359-367.

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It is proved that for every two points in the visual boundary of the universal covering of a $2$-dimensional ideal polyhedron, there is an infinity of paths joining them.
Classification : 53C23, 57M20
Keywords: CAT$(-1)$ spaces; ideal polyhedron; visual boundary 
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Vrontakis, Emmanuel. On the boundary of 2-dimensional ideal polyhedra. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 359-367. http://geodesic.mathdoc.fr/item/CMUC_2006__47_2_a11/