Anyonlike particles in three dimensions

5 Natural frames and interacting particles in three dimensions

Abstract— Motivated by the problem of formation control for vehicles moving at unit speed in three-dimensional space, we are led to models of gyroscopically interacting particles, which require the machinery of curves and frames to describe and analyze. A Lie group formulation arises naturally, and we discuss the general problem of determining (relative) equilibria for arbitrary G-invariant con...

Biology in three dimensions

Most things in biology spread out into three dimensions, and many biological web sites include three-dimensional images. But biologists want more than a look at something. They want to pick it up and look at it from all sides, which is where three-dimensional images that can be manipulated online really come into their own. One approach to such interactive images relies on VRML (virtual reality...

Collapsars in Three Dimensions

We present the results of 3-dimensional simulations of the direct collapse to a black hole of a rotating, 60M⊙, zero metallicity, population III star. Because the structure of this star (angular momentum, density and temperature profiles) is similar to many collapsar gamma-ray burst progenitors, these calculations have implications beyond the fate of population III stars. These simulations prov...

Supersymmetry in Three Dimensions

Thinking in three dimensions.

I have had only few major ‘‘eureka’’ moments in my life. One of them was when I realised the difference between ordinary linear thinking and systems thinking. Since then I have spent quite a lot of my time teaching systems thinking in one form or another to doctors, psychologists, educators and others. Sometimes people can be turned off by the word systems because it sounds so mechanical, but o...