A minimal surface is the surface of smallest area of all the surfaces bounded by a closed curve in space. Its mean curvature is zero. Minimal surfaces greatly interested a few nineteenth century ...

Minimal surfaces, defined informally as surfaces that locally minimise area, have long captivated both mathematicians and physicists due to their elegant geometric properties and rich analytical ...

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 ...

We continue explorations of minimal surfaces and their tie-in with various constructive and fabrication technologies to understand how complex 3-dimensional forms can be modeled and built using ...

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 ...