Tilings in Hyperbolic Space in an Arbitrary Dimension - DE

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.

About the author

Associated Professor of Mathematics, Academy of Economic Studies of Moldova. Main field of research is discrete geometry, hyperbolic geometry, author of more 100 publications. His publications cover a topics including: Tilings of the spaces of constant negative curvature, Hyperbolic manifolds, Behavior of geodesics on hyperbolic manifolds.

Product details

• Authors: Vladimir Balkan
• Publisher: LAP Lambert Academic Publishing
• Languages: English
• Product format: Paperback / Softback
• Released: 13.08.2024
• EAN: 9786207842315
• ISBN: 9786207842315
• No. of pages: 68
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry