This sphere, with its irregularities, has a two-dimensional surface where we can move in four main directions ... Mathematicians, through geometric topology, explore these spaces in all their ...

While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

In 2008, the terms 'topology' or 'topological' appeared in the title or abstract of nearly 1,500 papers in the mathematical literature — and in almost that many chemistry articles. In the ...

the whole network fails if the switch fails as no node can communicate a wired star topology requires plenty of cable - in a large network this can be expensive Star topologies tend to be found in ...

A logical topology is how devices appear connected to the user. A physical topology is how they are actually interconnected with wires and cables. For example, in a shared Ethernet network that ...

While you don’t need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

Whether trying to design secure sensor networks, mine data or use origami to deploy satellites, the underlying language and ideas are likely to be that of topology.