"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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  1. There is a fifth dimension beyond that which is known to man.
    It is a dimension as vast as space and as timeless as infinity.
    It is the middle ground between light and shadow,
    between science and superstition,
    and it lies between the pit of man's fears and the summit of his knowledge.
    This is the dimension of imagination.
    It is an area which we call... the Alt-Fact Zone.

  2. Moving away from the prison, the thing starts to jiggle around by itself. A floating point rounding error?

  3. Movement works by applying 4x4 matrices that implement hyperbolic isometries. These have exponential functions in them, and the numbers blow up as you get far from the origin. So yes, floating point errors eat you when you get far enough out into the corner of a cube.

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