Tilings in Hyperbolic Space in an Arbitrary Dimension

Balkan, Vladimir

ISBN 10: 6207842316 / ISBN 13: 9786207842315

Editore: LAP Lambert Academic Publishing, 2024

Riguardo questo articolo

Codice articolo I-9786207842315

Dati bibliografici

• Titolo: Tilings in Hyperbolic Space in an Arbitrary Dimension
• Editore: LAP Lambert Academic Publishing
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 6207842316
• ISBN 13: 9786207842315
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

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.