Mathematicians found a new type of 3D surface that can collapse into a flat strip for easy carrying.
March 19, 2026
Original Paper
Classification of Smooth Alignable Voss Surfaces
arXiv · 2603.17501
The Takeaway
By studying 'alignable Voss surfaces,' researchers discovered grid structures that can be completely flattened into a near-one-dimensional form without breaking. This property could allow for massive, complex structures like bridges or space antennas to be moved in a compact 'stick' form and then instantly 'popped' into their full 3D shape using a simple scissor-like motion.
From the abstract
Alignable nets are grid structures that can collapse to a planar strip, which is in fact the real-world counterpart of a curve. This property simplifies on-site assembly and enables compact transport and storage. These grid structures can then be deployed by a scissor motion at each vertex in a desired location. In this article, we classify all surfaces supporting an alignable net that additionally have the geodesic and conjugate net property, namely, the alignable Voss surfaces. In doing so, we