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Why doare quadcopters have four propellersmore common in robotics than other configurations? (Besides the name)

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golmschenk
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Why do quadcopters have four propellers? (Besides the name)

I've noticed that almost all research being done with helicopter robots is done using quadcopters (four propellers). Why is there so little work done using tricopters in comparison? Or a different number of propellers? What about four propellers has made quadcopters the most popular choice?