3. Flat Infinite Structures with Folded Elements

3.1. 2D infinite. The cylindrical structure is infinite in one direction. A cylinder can be cut and unrolled to become a 2D flat surface. In Figures 15, 16, 17 you can see how this step leads towards a 2D infinite slide together structure. From the two types of elements, which were used to build the cylinder, only one is left in the flat structure. Again you see the enclosed tetrahedra, which means that also in this structure four sliding directions are used. So we can conclude that these elements will have to slide together all at the same time too.

3.2. Variations. There are a few interesting variations of this type of slide-together structures. When we make the pieces a little bit more complicated by adding extra parts as in Figure 18 we will get nice and strong double layered structures (Figure 19 and 20).

In the case of Figures 21 and 22, a double connection, a parallel pair of sliding lines, between pairs of pieces is used. Special about these two examples is that you first will have to make rows, and then slide the structure together row by row.