The proposed research is for research into the rigid folding of 2D tilings. We will show that the folding behaviour of a 4-vertex is very similar to that of its mirror image, and its supplement. We...Show moreThe proposed research is for research into the rigid folding of 2D tilings. We will show that the folding behaviour of a 4-vertex is very similar to that of its mirror image, and its supplement. We will show how we can use this to combinatorially design large rigidly foldable tilings. We will study in how many different ways these tilings can fold. Finally we will also discuss the mountain-valley patterns according to which these tilings will fold and give a method to design a tiling that folds according to a given mountain-valley pattern. We also discuss how we can apply restrictions on certain folds in a tiling to force it into a specific folded state.Show less
We report the design and construction of a mechanism, consisting of rigid plates and freely hinging connectors, that is used to describe and study the motions of a mechanical metamaterial called...Show moreWe report the design and construction of a mechanism, consisting of rigid plates and freely hinging connectors, that is used to describe and study the motions of a mechanical metamaterial called the ‘metacube’. For this design, a novel method is used, where the mechanism is 3D printed and the accuracy is mechanically tested. We present an accurate mechanism that describes the motions of the metacube. This mechanism can be used to not only gain further understanding of the properties of the metacube, but also shows previously undiscovered properties of this mechanical metamaterial.Show less
