Here in Dimension 2, the fractals are in full swing. Every door leads to another door, and another, and another. The walls are a maze of Sierpinski triangles, and the floors are paved with Apollonian spirals.
Warning: Prolonged exposure to the infinite complexity of Dimension 2 may lead to existential dread, or worse, a strong urge to learn more math.
For the more adventurous, explore: