Hyperbolisk
Hyperbolisk is a term used in theoretical geometry and related fields to describe a class of models that extend hyperbolic geometry by integrating nontrivial global topology. In its basic usage, a hyperbolisk is a space that is locally modeled on the hyperbolic plane but whose global structure arises from identifications or twists along a lattice, foliation, or network of geodesics. The term blends hyperbolic geometry with a stylized suffix to indicate a compact or altered version of hyperbolic space.
Construction of hyperboliska often involves standard methods from hyperbolic geometry. Common approaches include forming the quotient
Properties of hyperboliska typically include negative curvature and exponential growth of volume with radius, reflecting their
Applications of hyperboliska have appeared in discussions of toy models for quantum gravity, in visualizations of
See also hyperbolic geometry, hyperbolic space, hyperbolic tiling, AdS/CFT, geometric group theory.