Programming Shape Based on Mechanics of Origami

Patterns created with Miura rigid origami are finding more and more applications in fields like engineering and technology. However, the techniques to do geometric analysis that is employed in this research study are, in most cases, unplanned. In this paper, in order to acquire the various geometric forms, kinematic analysis and geometric analysis are both utilized. Kinematic analysis is performed using the D-H matrix approach in order to acquire the dihedral angle, and then these angles are incorporated into the geometric modelling in order to generate a wide range of different geometrical tessellations. In addition to this, it is demonstrated how the geometric correlations have the potential to be combined into programmable geometric tessellations.