Hyperbolic Geometry Exercises
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- Draw a Poincaré disk, and draw four geodesics that don't cross.
- Draw a Poincaré disk, and draw four geodesics through the center point.
- Copy the Poincaré disk shown below, and draw three geodesics through the point that don't cross the line shown.
- All hyperbolic triangles have angles adding up to less than 180°. Call the amount under 180° the "defect" of the triangle. What is the upper limit for the defect of a hyperbolic triangle?