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you're looking from the wrong perspective if all you see here are portals, in the hat room you can see everything resize around you as you get closer to the dome

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 ;)

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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.

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I have explored the hat room again, and I still do not see this TBH... all the parallax effects look Euclidean.