Way to make your props department's lives a living hell, there. It's not like they didn't have enough to do with your ridiculous arrows and stuff; they really needed to spend hours cutting the corners off all the paper. That makes so much sense, and is clearly the most advanced way to approach paper, as you can tell because the show admits that you can't even bind a book with octagonal pages, so the bound edge is normal and it's only the outer edge that has the corners lopped off.
But the real problem here is more fundamental. It is true that regular paper does not look fancy and futuristic enough for a world in which robots have progressed to the point where they can have souls and interbreed with humans. This is not because it is rectangular. It is because it is paper.