Complex sentence: The Koch curve has an infinite length because each iteration creates four times as many line segments as in the previous iteration, with the length of each one being one-third the length of the segments in the previous stage.
Split into simpler sentences: The Koch curve has an infinite length because the total length of the curve increases by one third with each iteration. Each iteration creates four times as many line segments as in the previous iteration, with the length of each one being one-third the length of the segments in the previous stage.