scientific article; zbMATH DE number 7244010
From MaRDI portal
zbMath1440.00012MaRDI QIDQ5118045
Publication date: 4 September 2020
Full work available at URL: http://www.heldermann.de/JGG/JGG24/JGG241/jgg24009.htm#jgg241
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Mathematics and visual arts (00A66)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Horoball packings and their densities by generalized simplicial density function in the hyperbolic space
- A candidate for the densest packing with equal balls in Thurston geometries
- The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space
- The optimal ball and horoball packings to the Coxeter honeycombs in the hyperbolic \(d\)-space
- Ausfüllungen der hyperbolischen Ebene durch kongruente Hyperzykelbereiche
- Classification of dodecahedral space forms
- Packings with horo- and hyperballs generated by simple frustum orthoschemes
- Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types
- Density upper bound for congruent and non-congruent hyperball packings generated by truncated regular simplex tilings
- Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space
- New horoball packing density lower bound in hyperbolic 5-space
- New lower bound for the optimal ball packing density in hyperbolic 4-space
- Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space
- The densest geodesic ball packing by a type of Nil lattices
- A proof of the Kepler conjecture
- Hyperball packings in hyperbolic $3$-space
- Packing of spheres in spaces of constant curvature
- Hyperbolic Space Forms with Crystallographic Applications and Visualizations
- On hyperbolic cobweb manifolds
- Top dense hyperbolic ball packings and coverings for complete coxeter orthoscheme groups
- The Geometries of 3-Manifolds
- Decomposition method related to saturated hyperball packings
- The optimal hyperball packings related to the smallest compact arithmetic 5-orbifolds
- Über die dichteste Kugelpackung im hyperbolischen Raum
- The Classification of Non-Euclidean Plane Crystallographic Groups
- Developing organized information displays for voluminous works: A study of user clustering behavior
- The least dense hyperball covering of regular prism tilings in hyperbolic \(n\)-space