Suggestion for classification algorithm - movement of single point in 3d space

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I have a project in mind which would require being able to represent the movement of a single point in 3-dimensional space (i.e. the path a VR controller has taken) as data and to train a supervised classification algorithm on that data. I'm having trouble using google to figure out what type of algorithm would be best suited for this (and in turn, how the data should be structured).

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