As any experienced angler will know, some knots are better than others -- but exactly why a "blood knot" should be stronger than, say, a "reef knot" is far from clear. Now, physicists in Japan have ...

Abstract Knot contact homology is an invariant of knots derived from Legendrian contact homology which has numerous connections to the knot group. We use basic properties of knot groups to prove that ...

Fantastical knot-like structures of light could soon be created in the lab thanks to calculations made by physicists in the US, Poland and Spain. They have discovered a new family of solutions to ...

Around age six, we start learning how to tie our shoelaces, making knots that look like ribbons -- or possibly more complex forms, if we are a little clumsy. We use knots every day, but the type of ...

Zeeman has shown that the complement of a twist-spun knot fibres over the circle. He also proves that the group of the 5-twist-spun trefoil is just the direct product of the fundamental group of the ...

The self-assembly of objects with a set of desired properties is a major goal of material science and physics. A particularly challenging problem is that of self-assembling structures with a target ...