Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
gptkb:mathematical_concept |
| gptkbp:dimensions |
2
|
| gptkbp:hasAngleSumOfTriangle |
less than 180 degrees
|
| gptkbp:hasApplication |
gptkb:theoretical_physics
gptkb:topology gptkb:art_(M.C._Escher) complex analysis |
| gptkbp:hasArea |
area of triangle depends on angle sum
|
| gptkbp:hasCurvature |
negative
|
| gptkbp:hasGaussBonnetTheorem |
applies
|
| gptkbp:hasIsometryGroup |
gptkb:PSL(2,R)
|
| gptkbp:hasModel |
gptkb:Klein_model
gptkb:Poincaré_disk_model gptkb:Poincaré_half-plane_model |
| gptkbp:hasParallelLinesProperty |
infinite through a point not on a given line
|
| gptkbp:hasTiling |
regular tilings possible
|
| gptkbp:includesMetric |
hyperbolic metric
|
| gptkbp:studiedIn |
gptkb:hyperbolic_geometry
|
| gptkbp:universalCover |
gptkb:compact_hyperbolic_surfaces
|
| gptkbp:bfsParent |
gptkb:Klein_model
gptkb:Klein_quartic |
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
hyperbolic plane
|