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Graph theory is generally thought of as originating with the "Königsberg bridge problem," which asked whether a walker could cross the seven bridges of Königsberg, Prussia (now Kaliningrad, Russia), once each without crossing any of them twice. This is the graphical depiction of theproblem, where the nodes represent land masses and the edges bridges.

Explained: Graphs

A simple tool for representing relationships between data, devices or almost anything else has ubiquitous applications in computer science.

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To test their algorithm, the researchers designed and built a system of 'smart pebbles' — cubes about 10 millimeters to an edge, with processors and magnets built in.

Self-sculpting sand

New algorithms could enable heaps of ‘smart sand’ that can assume any shape, allowing spontaneous formation of new tools or duplication of broken mechanical parts.

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