Tilings in Hyperbolic Space in an Arbitrary Dimension

Balkan, Vladimir

ISBN 10: 6207842316 / ISBN 13: 9786207842315

Published by LAP Lambert Academic Publishing, 2024

About this Item

Seller Inventory # 26402772301

Bibliographic Details

• Title: Tilings in Hyperbolic Space in an Arbitrary Dimension
• Publisher: LAP Lambert Academic Publishing
• Publication Date: 2024
• Language: English
• ISBN 10: 6207842316
• ISBN 13: 9786207842315
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.