For example, it allows distinguishing a sphere from a torus based on topological criteria. Geometric topology has applications in many scientific fields, from theoretical physics to molecular biology.

Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to design secure sensor networks, mine data or use origami to deploy ...

The surface of the sphere and the plane are two possible 2D ... While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible ...

Susanna Heikkilä solved a problem in topology, or mathematics pertaining to the shape of surfaces. The fact that one of the ...

Other unsolved mathematical mysteries are akin to the branches of trees. The trees themselves—fields within the wider subject ...

The world of 3D character creation can feel a little like sorcery at times, especially when we’re creating figures such as ...