Tilings in Hyperbolic Space in an Arbitrary Dimension

Balkan, Vladimir

ISBN 10: 6207842316 / ISBN 13: 9786207842315

Editore: LAP Lambert Academic Publishing, 2024

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Titolo: Tilings in Hyperbolic Space in an Arbitrary ...

Casa editrice: LAP Lambert Academic Publishing

Data di pubblicazione: 2024

Legatura: Brossura

Condizione: New

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Riassunto:

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.