Tilings in Hyperbolic Space in an Arbitrary Dimension (Paperback)

Vladimir Balkan

ISBN 10: 6207842316 / ISBN 13: 9786207842315

Published by LAP Lambert Academic Publishing, 2024

About this Item

Paperback. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9786207842315

Bibliographic Details

• Title: Tilings in Hyperbolic Space in an Arbitrary Dimension (Paperback)
• Publisher: LAP Lambert Academic Publishing
• Publication Date: 2024
• Language: English
• ISBN 10: 6207842316
• ISBN 13: 9786207842315
• Binding: Paperback
• 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.