[Haskell-cafe] Infinite grid

[Martijn van Steenbergen]

Hello,

I would like to construct an infinite two-dimensional grid of nodes, 
where a node looks like this:

data Node = Node
  { north :: Node
  , east  :: Node
  , south :: Node
  , west  :: Node
  }

in such a way that for every node n in the grid it doesn't matter how I 
travel to n, I always end up in the same memory location for that node.

I suspect another way of saying that is that

let f = f . north . east . south . west in f origin

should run in constant space. I hope this makes the problem clear. :-)

How do I do this?

Thanks in advance,

Martijn.
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