A Java applet simulating a walk in some tiling of the hyperbolic plane.
(please wait, download should take less than one minute)
Explanations : these are regular hepatgons in hyperbolic plane, whose angle at vertices are equal to 1/3 turn (instead of 5/14 as it should be in a normal plane). This condition fixes a precise value for the length of the sides of the polygon, whose first decimals are 0.283... With such polygons, it is possible to completely cover the hyperbolic plane by putting 3 ones at every vertex.
Instructions : click in the disk or on the arrows to move. By letting the shift key pressed, you can fine tune your walk (provided your browser does not intercept the "shift-click")
Try the dual of this tiling