# Difference between revisions of "Hyperbolic Geometry Exercises"

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{{Exercises}} | {{Exercises}} | ||

<ol> | <ol> | ||

− | <li> | + | <li>Draw a Poincaré disk, and draw four geodesics that don't cross.</li> |

+ | <li>Draw a Poincaré disk, and draw four geodesics through the center point.</li> | ||

+ | <li>Copy the Poincaré disk shown below, and draw three geodesics through the point that don't cross the line shown. | ||

+ | |||

+ | [[Image:hyp-ex-3.svg]] | ||

+ | </li> | ||

+ | <li>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? | ||

+ | </li> | ||

</ol> | </ol> |

## Revision as of 23:52, 12 April 2007

- 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?