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 ...

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 ...

"3D Hypersurface is a curved one-sided hyper minimal surface. One-sided, because it has only one side like a Mobius strip except ours is a complex 3D surface. Hyper, because it is embedded in ...