Geodesic
Acute Triangulations of Doubly Covered Convex Quadrilaterals
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 933-938.

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Motivated by various applications triangulations of surfaces using only acute triangles have been recently studied. Triangles and quadrilaterals can be triangulated with at most 7, respectively 10, acute triangles. Doubly covered triangles can be triangulated with at most 12 acute triangles. In this paper we investigate the acute triangulations of doubly covered convex quadrilaterals, and show that they can be triangulated with at most 20 acute triangles.
Recentemente, motivate da varie applicazioni, sono state studiate le triangolazioni di superfici utilizzando soltanto triangoli acutangoli. I triangoli e i quadrilateri possono essere triangolati, rispettivamente, con al più 10 triangoli acutangoli. I triangoli coperti doppiamente possono essere triangolati con al più 12 triangoli. In questo lavoro noi trattiamo le triangolazioni di quadrilateri convessi coperti doppiamente e mostriamo che tali quadrilateri possono essere triangolati con al più 20 triangoli acutangoli. 
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Yuan, Liping; Zamfirescu, Carol T. Acute Triangulations of Doubly Covered Convex Quadrilaterals. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 933-938. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a32/

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