Geodesic
Finite closed 3(4)-loops of extended hyperbolic plane
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 14-26.

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This article considers finite closed $n$-loops of the extended hyperbolic plane $H^2$. The paper deals with topological and metric properties of the finite closed 3(4)-loops. Pasha statement analogues have been also obtained. We proved the existence of two types 4-loops and convexity of the plain 4-loop. 
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L. N. Romakina. Finite closed 3(4)-loops of extended hyperbolic plane. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 14-26. http://geodesic.mathdoc.fr/item/ISU_2010_10_3_a1/

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[2] Romakina L. N., Geometrii koevklidovoi i kopsevdoevklidovoi ploskostei, Nauchnaya kniga, Saratov, 2008, 279 pp.