Call for LUA Gears Attempt

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I have no idea how to LUA-ize this, but taking default cylinders size we might be able to assign them specific maths while interacting with another specific cylinder, in order to obtain the exact effect we would have if they were gears. Gears geometry have one thing called pitch diameter, and represents the size of the circle that a gear would have to be if could roll the next wheel without any slipping. is possible to scale down the maths to smaller numbers following the same criteria, teeth number plus addemdum 2, multiplied by the module must correspond to these 2-4-6-8 diameteres cylinders.