I was just wondering about the following problem. Suppose that you have an arrow placed in a tube. If the arrow travels at a relativistic speed, does there exist a frame of reference such that the arrow is completely in the tube with extra tube at its ends? Does there exist a frame of reference such that the arrow overhangs the tube from both sides, that is, both ends of the arrow are visible on both ends of the tube? Justify your answer uwing mathematics, if possible.