Mathematical Shape Unveils New Light‑Twisting Property

A mathematical shape known for its non‑repeating tiling pattern has been shown to twist light into distinctive chiral patterns. Researchers observed that when light passes through a structure based on this shape, its polarization state is altered in a way that previous designs could not achieve. The effect arises from the shape’s unique geometry, which couples the light’s phase and direction in a novel manner. Scientists suggest the phenomenon could be harnessed to create compact devices that control light polarization, a key requirement for optical communication, imaging, and quantum information processing. The discovery also offers a new platform for studying light–matter interactions in engineered geometries. The research team plans to test the shape in integrated photonic circuits next year.