Ultimate Reduction: ultra-compact billion to one gearing, !!!

Watch also Extreme Reduction, 11 million to 1 gearing: Ultimate Reduction is a concatenation of three stages of Grinder-Gears-style gear reductions. Each stage provides a reduction of 1024 to 1, which is 32 squared. So three stages achieve 1024^3 = 1073741824 to 1. That is a bit over a billion to one. The purpose of this object is to demonstrate the extreme compactness of this type of mechanism. The volume of this gearing system is 81 cm^3, about half of which is