Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical model
|
| gptkbp:allows |
geodesics to be represented as arcs
|
| gptkbp:can_be |
infinite distances
|
| gptkbp:description |
hyperbolic geometry
|
| gptkbp:has_a |
the unit circle
|
| https://www.w3.org/2000/01/rdf-schema#label |
the Poincaré disk model
|
| gptkbp:is_a |
true
model of hyperbolic space |
| gptkbp:is_a_highlight_of |
the hyperbolic plane's properties
|
| gptkbp:is_a_model_for |
has historical significance in mathematics.
facilitates the study of hyperbolic groups has influenced modern mathematical thought helps visualize hyperbolic relationships illustrates the concept of hyperbolic parallelism is often discussed in mathematical literature is widely recognized in mathematics provides a basis for hyperbolic geometry research provides insight into hyperbolic transformations simplifies calculations in hyperbolic geometry supports the study of hyperbolic tiling |
| gptkbp:is_a_platform_for |
understanding hyperbolic symmetry
|
| gptkbp:is_a_representation_of |
the hyperbolic plane
is used in educational contexts enables the analysis of hyperbolic curves facilitates understanding of hyperbolic angles |
| gptkbp:is_a_subject_of |
mathematical research
modern geometry the field of geometry has applications in various scientific fields |
| gptkbp:is_a_tool_for |
exploring hyperbolic surfaces
understanding hyperbolic transformations |
| gptkbp:is_characterized_by |
its circular boundary
|
| gptkbp:is_essential_for |
the study of topology
the_development_of_non-Euclidean_theories |
| gptkbp:is_featured_in |
the properties of hyperbolic triangles
|
| gptkbp:is_used_in |
computer graphics
complex analysis the field of mathematics the analysis of hyperbolic manifolds the properties of hyperbolic lines the visualization of hyperbolic structures theoretical explorations of space the_Euclidean_model the_study_of_non-Euclidean_geometry |
| gptkbp:maintains |
true
|
| gptkbp:previousName |
gptkb:Henri_Poincaré
|
| gptkbp:related_to |
the concept of hyperbolic distance
the_Klein_model |
| gptkbp:relatedTo |
the upper half-plane model
|
| gptkbp:route |
points in the hyperbolic plane to the interior of the disk
|
| gptkbp:suitableFor |
theoretical physics
|