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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.
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The upper half-plane is parameterized by x horizontally in the range with divisions every pi/6, and y vertically in the range with divisions every 0.5. These lines are mapped onto the other views.
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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.
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I, the copyright holder of this work, hereby publish it under the following license:
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Geodesics on the pseudosphere and three other models of hyperbolic geometry.png
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715:Pseudosferă
705:Pseudopallo
495:copyrighted
264:share alike
258:attribution
133:Description
747:118.11 dpc
739:118.11 dpc
678:File usage
659:857 × 869
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629:Date/Time
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195:Licensing
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77:image/png
723:Metadata
661:(133 KB)
302:Captions
247:to remix
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37:Metadata
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
