File:Geodesics on the pseudosphere and three other models of hyperbolic geometry.png
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Summary
| Description |
English: Geodesics (straight lines) are shown on four models of hyperbolic geometry: the upper half-plane, the Poincaré disk model, the pseudosphere and the Klein disk model.
The upper half-plane is parameterized by x horizontally in the range [-30, 30] with divisions every pi/6, and y vertically in the range [0, 40] with divisions every 0.5. These lines are mapped onto the other views. The red line at y=1 forms the lower boundary of the pseudosphere. The black line at y=0 forms the boundary of the Poincaré and Klein disk models. The orange lines are spaced apart by 2*pi and all map onto the single orange line on the pseudosphere. The image was produced by the web app at: https://timhutton.github.io/PseudosphereGeodesics/ |
| Date | |
| Source | Own work |
| Author | Ferkel |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:36, 24 November 2020 | | 857 × 869 (133 KB) | Ferkel | Uploaded own work with UploadWizard |
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