Research news on 3-dimensional systems

In the context of physical systems, 3-dimensional systems are systems whose relevant degrees of freedom are embedded in or constrained by three spatial dimensions, typically described by coordinates (x, y, z) in Euclidean space. Their behavior is governed by field equations or dynamical laws defined over a 3D manifold, such as Maxwell’s equations, Navier–Stokes equations, or Schrödinger’s equation in three spatial dimensions. These systems exhibit phenomena inherently dependent on 3D geometry and topology, including volumetric interactions, three-component vector fields, and spatially resolved boundary conditions, and they often require tensorial or vector calculus formalisms for accurate modeling and analysis.

Cell 'snowball' may be answer to large-scale tissue engineering

Cell cultures—single layers of cells grown in a small dish—have enabled researchers to study biological growth, develop or test drugs and even discover what causes some diseases. Cell spheroids, 3D versions of cell cultures ...

3D-printed spring deploys on small commercial spacecraft

With a simple motion, a jack-in-the-box-like spring designed at NASA's Jet Propulsion Laboratory showed the potential of additive manufacturing, also known as 3D printing, to cut costs and complexity for futuristic space ...

Why you can't tie knots in four dimensions

We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a bigger kind of space? Is it "space-time," the popular idea which emerged from Einstein's theory of ...

3D 'polar chiral bobbers' identified in ferroelectric thin films

A novel type of three-dimensional (3D) polar topological structure, termed the "polar chiral bobber," has been discovered in ferroelectric oxide thin films, demonstrating promising potential for high-density multistate non-volatile ...

page 1 from 11