Behold the Manifold, the Concept that Changed How Mathematicians View Space

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

Q&A: The science of snowflakes—how hexagonal symmetry and environmental changes create endless designs

In the iconic "Sound of Music" score, "My Favorite Things," a young Julie Andrews lists snowflakes as objects that bring her ...
IEEE

Intrinsic shape signatures: A shape descriptor for 3D object recognition

This paper presents a new approach for recognition of 3D objects that are represented as 3D point clouds. We introduce a new 3D shape descriptor called Intrinsic Shape Signature (ISS) to characterize ...
Nature

Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis

Biological tissues exhibit two contradictory properties: they have a robust architecture that is required for their maintenance and resistance to stress, and they can be extensively remodelled during ...