For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and ...

Geometric measure theory provides a rigorous framework for studying and quantifying the properties of sets and surfaces in Euclidean spaces. This discipline blends techniques from differential ...

A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range of shapes. The dissertation, by Jon ...

With the rapid development of material science and manufacturing science, a large number of complex structures have been designed, manufactured and applied in the industrial field. Most of the current ...