Hyperbolic space groups with truncated simplices as fundamental domains

DOI10.2298/FIL1904107SzbMath1499.51020MaRDI QIDQ5080720

Milica Stojanović

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

fundamental domainisometriesPoincaré algorithmhyperbolic space grouptruncated simplex

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Hyperbolic groups and nonpositively curved groups (20F67) Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

Hyperball packings related to truncated cube and octahedron tilings in hyperbolic space

Cites Work

• Hyperbolic space groups and their supergroups for fundamental simplex tilings
• A class of hyperbolic space groups
• Polyhedron complexes with simply transitive group actions and their realizations
• Classification of solid transitive simplex tilings in simply connected 3-spaces
• An algorithm for classification of fundamental polygons for a plane discontinuous group
• Supergroups for six series of hyperbolic simplex groups
• On Poincaré's theorem for fundamental polygons
• Fundamental simplices with outer vertices for hyperbolic groups and their group extensions for truncations
• Coxeter groups as automorphism groups of solid transitive 3-simplex tilings
• Hyperball packings in hyperbolic $3$-space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item