Arrow keys to move. This is a fully* working model of the real projective plane. One way to build it (the way used in this project) is to take a square and glue its opposite edges together with a half twist. It is closely related to the Möbius strip and the Klein bottle. * There is a small quirk with building the real projective plane: it isn't flat everywhere. It has two "corners" where a full circle has 180º instead of 360º. For (most) two-dimensional creatures on it, this means that these two points are impossible to pass through. For more information, visit https://en.wikipedia.org/wiki/Projective_plane
This project wouldn't have been possible if it weren't for Wikipedia's great article on the real projective plane. For more information on this fascinating topological manifold, visit https://en.wikipedia.org/wiki/Projective_plane