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Knots are generally understood to form due to twists and turns of long, flexible materials that keep shoes on your feet or frustrate your attempts at hanging holiday decorations. A beam of light doesn’t sound like a material that can create a knot.

But it is.

Imagine throwing several rocks into a pond all at once. At a certain point on the water’s surface, the resulting ripple rings would all mix to form a complex pattern. Now imagine being able to control the shape and speed of each ring. With enough planning, you could get that mesh point to form in 3D on demand.

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