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Yeah you have actually picked up on something that the game intentionally does to help the user: If the cheese can be reached by any of the dimensions you are currently on, then it will ensure that dimension is in the subset of dimensions you receive when you go down a dimension.

Otherwise I'd have to introduce some kind of dimension picker. Maybe a fun hardmode.

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Oh I see! Thanks for explaining that - I did notice that sometimes a subset that I didn't expect was chosen.

Did the LLM explain its reasoning for how it is showing the higher dimensions? Or perhaps this is a standard way of attempting to display higher dimensional space?

I didn't ask about standard representations, but I think the graph representation works well when paired with the discrete moves this maze allows. If we wanted continuous spaces it would probably be harder to play and harder to represent, but maybe more interesting.

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