Rigidly foldable origami gadgets and tessellations

R Soc Open Sci. 2015 Sep 16;2(9):150067. doi: 10.1098/rsos.150067. eCollection 2015 Sep.


Rigidly foldable origami allows for motion where all deflection occurs at the crease lines and facilitates the application of origami in materials other than paper. In this paper, we use a recently discovered method for determining rigid foldability to identify existing flat-foldable rigidly foldable tessellations, which are also categorized. We introduce rigidly foldable origami gadgets which may be used to modify existing tessellations or to create new tessellations. Several modified and new rigidly foldable tessellations are presented.

Keywords: crease pattern; origami; rigid foldability; tessellation.