[avidiax]

It would not be representable, since even 1 unreachable point would have to have infinite area.

If you allowed the 2D map to become 3d, I suppose you could have an infinitely high spike or low trough.

[deadbabe]

So it would be like a 2D black hole, you could approach it from any side, and you could move along the edges a bit, but if you go too far into it, you’ll just find yourself moving along an infinite area toward a point you’ll never cross, forever.