I'm running into a math problem in a story I'm writing that I can't figure out how to solve, nor can I find a solution on google (probably just don't know what to search for.) I'm writing a story, where a character gets lost in a "cave" of sorts. It's more in a holodeck type thing, so geometry acts strangely. The cave is laid out such that it's a https://en.wikipedia.org/wiki/600-cell. Each cell is a chamber and each face represents a tunnel connecting them. I'm trying to figure out how to traverse the thing in a way that I can keep track of. Not only do I need to know what cell I'm in and what the neighbors are, but also orientation, since depending on how you enter a chamber, it's walls and floors might not be where I expect them.