A device for walking or running in place, especially for virtual spaces in which two transport elements crossing each other at a right angle are provided, which together form a walkable central surface, on which a user walks forward, whereas, under him, the transport elements move at the same speed. It is essential that the transport elements consist of rows of square plates or tiles, which can be moved in rows in the X and Y directions, where at all times a row of tiles is removed by a transfer device and then shifted by 90° or 180°.