• Anglický jazyk

Tilings in Hyperbolic Space in an Arbitrary Dimension

Autor: Vladimir Balkan

Of a special interest are tilings in hyperbolic n¿space. The present work studies tilings in hyperbolic n¿space of arbitrary dimension by polytopes. The best behaved tilings are the face-to-face tilings by convex polytopes. The main results of this publication... Viac o knihe

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O knihe

Of a special interest are tilings in hyperbolic n¿space. The present work studies tilings in hyperbolic n¿space of arbitrary dimension by polytopes. The best behaved tilings are the face-to-face tilings by convex polytopes. The main results of this publication are obtained for tilings (isohedral, non-isohedral, face-to-face, non- face-to- face) in the hyperbolic n¿space of arbitrary dimension for any n, (n ¿ 2) by compact and non-compact polytopes and we describe their discrete isometry groups and properties. Torsion free groups are especially important.

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