“Hyperbolic tiling”: can you escape from an extradimensional prison?

The only thing at Hypernom.com appears to be a 3D fractal cage. You can move toward the edge with the WASD and arrow keys. But as you approach it, a new level of detail pops in and you seem no closer to the perimeter. Approached as a game, there is a “trick” to escaping—but I’m not sure you’re supposed to. Press numbers to change the forms that bind you. There are all sorts of things going on like this.

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