Take two rows of respective length m and n: a1, a2, a3,..., am and b1, b2, b3, ..., bn. Then produce as follows the generated array Gai to contain these elements: a1, a1+a2, a1+a2+a3, ..., a1+..+am, a1+..+am+a1, a1+..+am+a1+a2, ..... Alike produce the generated array Gbj to contain these elements: b1, b1+b2, b1+b2+b3, ..., b1+..+bn, b1+..+bn+b1, b1+..+bn+b1+b2, .... The numbers ai and bj are cumulated cyclically to produce their respective arrays Gai and Gbj. Two questions are open to be analyzed (by me) - hope someone has a hint: 1. How to express analitically all numbers contained in Gai U Gbj as a function. 2. Since the rows ai and bj has periods m and n respectively, what is the resulting period of the superposition , ie. the period of Gai U Gbj? I appreciate your comment or hint.