Hyperboloidal Gear Model

https://youtu.be/fGuLvVmkwb0

This gear model is full to the brim with mathematics, and it works well, too. The reference surface of each of these two gears is the one-sheet hyperboloid, which is formally defined as a "surface of revolution obtained by rotating a hyperbola about the perpendicular bisector to the line between the foci." The profiles of the gear teeth are involute curves. Even the bearings for the top gear are shaped as parabolas.

This model transmits rotation between shafts crossed at 45°.

List of printed parts:


QtyFilenameDescription
2hyp_gear.stlThe main hyperboloidal gear.
1hyp_gear_end.stlThe end portion of the lower gear.
1hyp_gear_end_long.stlThe end portion of the upper gear.
1hyp_base.stlThe circular base on which all bearings are mounted.
2hyp_stand_upper.stlThe parabola-shaped bracket for the upper gear.
2hyp_stand_lower.stlThe bracket for the lower gear.
1hyp_handle.stlThe handle to be attached to the end portion of the upper gear.