Up: Hyperbolic

Interactive Simulation of the Hyperbolic Isometry

In the model below, the grey line is the image of the black line under the hyperbolic isometry. The second black line has two red end points. The red points are the fixed points on the boundary characterizing the transformation. The unique line determined by the red points is common orthogonal to the two reflections that compose the isometry. You can move the red points with the mouse to observe the behavior of the black line under various hyperbolic transformations. The slider beneath the model adjusts the parameter g that runs between 0.1 and 10. The parameter g, controls the amount by which points are "translated" under the isometry. (The setting g = 1 is the identity.)


Up: Hyperbolic

Created: Jul 29 1996 --- Last modified: Jul 29 1996