My fascination with using mathematics as a tool to enhance design, led me to develop a new design method based on Kirigami patterns and Aauxetic Structures.

Auxetic are structures or materials that when stretched, become thicker perpendicular to the applied force. It served as the basis for planning cuts that provide a flat sheet with its potential third dimension.

The cuts are made using conventional techniques while abiding by one central constraint – minimize material loss. This ecological restriction maximizes material consumption, hence benefits the environment.

Three parameters influenced the sheet’s behavior: geometry, material, and transition method.

By converting a cutting pattern to a connected graph, I realized that Auxetic one must have an Eulerian path. The pathfinding algorithm enabled me to design a rich pattern collection rapidly.

I observed how one pattern over different materials, has unique characteristics. While with textiles and layered materials, the transformation is reversible; with metal, it is permanent.

Various forces may lead to a transition between dimensions. On the one hand, manual forces like stretching, pulling, or pushing. On the other side, external physical forces  such as electromagnetic field, airflow, or gravity.

The three applications show the production method capabilities from different angles. In a manual motion, the piece of metal stretches and becomes a hanger. Under gravity laws, the parametrically designed textile partitions receive a three-dimensional transformation. The wooden bag reacts to its varying content volumes and to hand movement inside.