Haha indeed, these are not portal but actual doors! Is the world "resizing" or are you changing size like Alice to pass though various sized doors?...
But yeah the non-euclidian part is more about the whole world looping on itself ;)
We have worlds looping on itself since Pacman and Asteroids though... at some point somebody started calling that "non-Euclidean" and that stuck, while it is something completely different.
