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MathThe Tangled Task of Distinguishing Knots
Consider the plight of a gardener struggling with a recalcitrant tangle of garden hose. Sometimes, no amount of pulling or twisting unsnarls the coils. At other times, the tangles readily come apart, and the hose emerges unknotted. Trefoil knot. Different views of the figure-eight knot. Robert Scharein Braid (left) and its closed form (right). Robert […]
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PhysicsElectronic Acrobats: Tidily tweaking electrons’ twirls
The first demonstration of three-dimensional, electrical control of a quantum property of electrons known as spin marks an important step toward a new type of spin-based electronics and, possibly, quantum computers.