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 ...

Mathematicians make breakthrough in understanding complex "minimal surfaces," revealing that pieces of planes, catenoids and helicoids are the building blocks of all minimal surfaces, and not merely ...

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 ...