Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Computer_graphics
gptkb:art gptkb:Theoretical_physics |
| gptkbp:contrastsWith |
Euclidean tessellations
Spherical tessellations |
| gptkbp:field |
gptkb:geometry
gptkb:Hyperbolic_geometry |
| gptkbp:hasDual |
Dual tessellation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hyperbolic tessellations
|
| gptkbp:notableExample |
gptkb:Poincaré_disk_model
Escher's Circle Limit series |
| gptkbp:property |
Can have more than six regular polygons at a vertex
Angle sum at vertex less than 360 degrees Infinite variety of regular tessellations Regular polygons can meet at each vertex Tiles grow exponentially with distance from center |
| gptkbp:relatedTo |
Non-Euclidean geometry
Tessellation |
| gptkbp:studiedBy |
gptkb:Felix_Klein
gptkb:Henri_Poincaré |
| gptkbp:symmetry |
gptkb:Weyl_group
modular group |
| gptkbp:usedIn |
Mathematical art
|
| gptkbp:visualizes |
gptkb:Klein_model
Poincaré disk |
| gptkbp:bfsParent |
gptkb:Fuchsian_Groups
|
| gptkbp:bfsLayer |
7
|