A space puzzle including a plurality of outer face panels, at least two of the plurality of outer face panels each defining at least one path segment. Each of the outer face panels is rotatable, and the rotation of any one of the outer face panels is independent of and not altering any path segment defined in another of the outer face panels. The path segments on the at least two of the outer face panels of the puzzle are configured such that at least one sequence of rotations of at least one of the at least two of the outer face panels exists that permits a position indicator to travel along a continuous pathway between a preset starting point and a preset finish point along the at least one path segment of the at least two of the plurality of outer face panels.