Extension Theorem in the Theory of Isohedral Tilings and Its Applications

N. P. Dolbilin ; V. S. Makarov

Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 146-169.

Résumé

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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