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No, I won't derive the formula. I don't even remember what the height of a tetrahedron is, although it might not even be necessary. Also, we can assume that since the spider's speed will be lower, the ant needs to be cornered or kept near a corner. We need to find a point from which we can catch the ant regardless of one of the three directions it can choose, taking into account the possibility that it can stand still until the last moment.