In case anyone remembers the old game Comets, it was about this: You had a spaceship which you could move around the screen and various meteors appeared and you had to shoot them up. When you moved the spaceship up and it reached the top of the screen, it then appeared at the bottom of the screen at the same distance from the left and vice versa. The same went for moving left and right. Correspondingly if you go to the top left corner by moving diagonally towards it and you reached the end of the screen, you would appear at the bottom right corner.
So my question is, is there a real-world equivalent 3d space geometric shape for this sort of tiling 2d space ? If so, what would it be ? A torus ?
Also, what would the perception - concerning a being living in such a world - for the shape of the "place" it is living on, be ?
I'm providing a link to such a "world".
http://picpaste.com/pics/tiled_map-lT9i1TWT.1457704432.jpg
Apparently there is a rectangular red coloured mountain in this world, a cyclical lake and an orange coloured building.
Thank you advance.