Tilings in Hyperbolic Space in an Arbitrary Dimension

Balkan, Vladimir

ISBN 10: 6207842316 / ISBN 13: 9786207842315

Edité par LAP Lambert Academic Publishing, 2024

A propos de cet article

N° de réf. du vendeur 26402772301

Détails bibliographiques

• Titre: Tilings in Hyperbolic Space in an Arbitrary Dimension
• Éditeur: LAP Lambert Academic Publishing
• Date de parution: 2024
• Langue: anglais
• ISBN à 10 chiffres: 6207842316
• ISBN à 13 chiffres: 9786207842315
• Reliure: Couverture souple
• État de l'article: New

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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.