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Normally a tile map displays spaces which can be defined in finite terms using a piece of paper. A hypermaze, however, can be defined using a piece of paper, only, if you use a graph to describe how the pieces fit together. This is true for my hypermaze, and I suspect it should hold true for most other hypermazes. A tile map is a lot like a piece of paper, only a lot less powerful; thus in relation to a tile map you should consider the space of hypermaze to be undefined. You can’t measure it, because it doesn’t have a concrete form in 2 dimensions. You might have success defining it in three dimensions, but then you’ll be unable to translate it to the tile map.
So how can a tile map be used to draw an undefined space?
The answer I found was: little by little.