6 Aug
2015
6 Aug
'15
3:08 p.m.
One thing you need to be very careful of when working w/ gears in non-euclidean spaces is that the circumferences -- which must be integral multiples of the gear tooth-spacing -- are NOT proportional to the radii. In euclidean space, the circumfrences and radii are proportional, so we can get by just working w/ the radii as integral multiples of some unit radius. On 08/06/15 13:53, Warren D Smith wrote:
(To Dan Asimov: On the sphere S2, these are bevel gears, and are highly realistic, useful, applicable, etc. On the hyperbolic nonEuclidean plane H2, though, I'm not seeing any realistic use.)