Tilings in Hyperbolic Space in an Arbitrary Dimension - Softcover

BALKAN, Vladimir

9786207842315: Tilings in Hyperbolic Space in an Arbitrary Dimension

Softcover

ISBN 10: 6207842316 ISBN 13: 9786207842315

Verlag: LAP Lambert Academic Publishing, 2024

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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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VerlagLAP Lambert Academic Publishing
Erscheinungsdatum2024
ISBN 10 6207842316
ISBN 13 9786207842315
EinbandTapa blanda
SpracheEnglisch
Anzahl der Seiten68
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Tilings in Hyperbolic Space in an Arbitrary Dimension

Vladimir Balkan

Verlag: LAP LAMBERT Academic Publishing Aug 2024, 2024

ISBN 10: 6207842316 ISBN 13: 9786207842315

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Taschenbuch. Zustand: Neu. Neuware -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.Books on Demand GmbH, �berseering 33, 22297 Hamburg 68 pp. Englisch. Artikel-Nr. 9786207842315

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