In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
Researchers used algebra and geometry together to solve an old random walk problem. Random walk ideas have informed everything from biology to video games. This team identified a key geometry idea ...
Stochastic geometry combines probabilistic methods with classical geometry to investigate random spatial structures. At its core lies the study of random polytopes—convex hulls formed by points drawn ...
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