Geodesic
Extension Theorem in the Theory of Isohedral Tilings and Its Applications
Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 146-169

Voir la notice de l'article provenant de la source Math-Net.Ru

A detailed proof is given for one of the basic theorems in the theory of isohedral tilings, the extension theorem, which describes necessary and sufficient conditions under which a given polyhedron admits an isohedral tiling of a space of constant curvature. 
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     author = {N. P. Dolbilin and V. S. Makarov},
     title = {Extension {Theorem} in the {Theory} of {Isohedral} {Tilings} and {Its} {Applications}},
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N. P. Dolbilin; V. S. Makarov. Extension Theorem in the Theory of Isohedral Tilings and Its Applications. Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 146-169. http://geodesic.mathdoc.fr/item/TRSPY_2002_239_a9/