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A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.
In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space.
Throughout nature, throngs of relatively simple elements can self-organize into behaviors that seem unexpectedly complex. Scientists are beginning to understand why and how these phenomena emerge without a central organizing entity.
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