You can visit robives.com for a chance to win a ready made version of this planetary gear mechanism
This tactile and delightful looking mechanism is a planetary gear. So named for the four planet gears orbiting the central sun gear. I've put this project together as part of my learning-to-use-a-laser-cutter experiments.
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I've cut the parts out from 3mm acrylic sheet. (Perspex) I also used a length of 6mm diameter acrylic rod to hold everything together. There is no glue in this model. All the circular holes in the model should be a tight fit. It might be worth shrinking down the size of the circular holes to, say, 5.6mm. Try cutting one circular hole and making sure that it is a tight fit with the perspex rod before you cut out all your parts.