Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:theoretical_physics
crystallography tilings of hyperbolic space |
| gptkbp:characterizedBy |
finite volume fundamental domain
generators of order 2 relations of the form (s_i s_j)^{m_{ij}} = 1 |
| gptkbp:class |
finite in each dimension
|
| gptkbp:definedIn |
gptkb:hyperbolic_space
|
| gptkbp:dimensions |
defined for n ≥ 2
|
| gptkbp:example |
gptkb:triangle_groups
gptkb:hyperbolic_tetrahedral_groups |
| gptkbp:namedAfter |
gptkb:H.S.M._Coxeter
|
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:hyperbolic_geometry |
| gptkbp:studiedIn |
gptkb:geometry
group theory |
| gptkbp:subclassOf |
gptkb:Weyl_group
|
| gptkbp:bfsParent |
gptkb:Coxeter_groups
gptkb:Coxeter–Dynkin_diagram |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
hyperbolic Coxeter groups
|