The GeoGebra below shows a clock with N positions. Starting from the N o'clock, the system will draw lines each time jumping J hours ahead. 1. Consider N = 12. (a) What is the shape of the figure obtained when (i) J = 3? (ii) J = 4? (iii) J = 6? (b) Which value(s) of J will result in a complete cycle? [Hint: A complete cycle means the figure visits all the positions.] (c) Which property must J have to result in a complete cycle? 2. Try other values of N and J. See if your answer in question 1(c) is true.