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Dirichlet domains for the Modular Group

The applet below pictures Dirichlet domains in the upper half plane for the modular group PSL(2,Z), when the center of the domain varies.

The center is represented as a black dot in the picture, you can click it, drag it around, and see how the Dirichlet domain evolves.

Buttons in the upper right corners allow to change the appearance of the picture, from drawing just the orbit, drawing the candidate Dirichlet tile, or developing this tile into the hyperbolic plane.

If you have a mouse wheel, you can also increase or decrease the number of orbit point..