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This is a graph based platformer level and the round shapes are creatures. level sample

I am looking for a path traveling along edges that does not cross other edges(To simulate the creature crawling on the floors and walls).

Here is what the correct path would look like:enter image description here

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up vote 8 down vote accepted

When traversing the graph, always turn the same direction. You can use cross product to check what is the left or rightmost direction in a junction.

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