ABSTRACT
In the last seven years, I have found a method to fold lines on any rectangular sheet of paper, dividing it into an odd number of equal parts, both horizontally and vertically, without any tools [Haga 04, Haga 05, Haga 08]. The dividing method starts by making a node, which is defined by the intersection of two straight lines. One of them is a constant line from the midpoint of the left side to the right upper corner of the sheet. This line is common and suitable for 3-, 5-, 7-, 9-, 11-, 13-, 15-, and 17section methods; so, going forward, it will be called the common line in this paper. The second line starts from the midpoint of the upper side, which is suitable for every odd-numbered division, and ends at a designated point on the bottom side according to the particular odd number. It is called the individual line in this paper. Thus, our investigation of such nodes
corresponding to each odd-numbered division on the common line will focus on determining the terminal point of the individual line on the bottom of the rectangular paper.
