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I would like to ask which is better to design the multicopter with odd or even number of propellers? and why?

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Simply put, it is a trade off between control complexity vs. power requirements. You should probably go with an even number, 4 or greater. Nice explanation of all the technicalities:

Why do quadcopters have four propellers?
How to choose the right propeller/motor combination for a quadcopter?

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