You can move any of the above geodesics two ways, either by moving an endpoint or by moving the "center". Just drag and drop them.

The inversion depth is the level to which reflections will be done. That is, if the inversion depth is 2, you will see all geodesics g(a), where g is a word of length 2 and a is a geodesic.

You can press "Switch" to change from the Poincare' model to the Klein model and back.

The button labelled either "Immediate" or "Patient" indicates whether the reflected geodesics will be drawn dynamically while you drag a geodesics, or whether the computer will wait until you drop the geodesics before drawing them in.

Note that if the number of geodesics and the inversion depth are both large, the drawing process can take some time.

(c) 2000 Justin Wyss-Gallifent