Computer Generated Solutions for 1:N differential gear ratios

[TechnicBrickPower]

In this video I present optimal computer generated solutions for designing 1:N (N=prime) ratios using a single Lego Technic differential. Insights and ideas are shown for implementing the 1:N designs in practice using Lego Technic liftarms with an example 421:1 gear ratio device. All the possible solutions for N less than 1000 are shown and can be used in your own Lego Technic MOC designs if you are needing to create a particular gear ratio.

 

 

[msk6003]

Yes! 73:1 gear ratio! Now I can make perfect orbit!

[SNIPE]

Interesting ideas, How about going one further and doing RPM with spur/bevel/worm gear combinations. You can pretty much connect any gear to any other gear as long as you use 0.5L, 1 plate, or 1L spacing multiples.

I hope eurobricks opnes a new forum for "lego math" because peoples interest in it is growing and you can do all sorts of math using lego either just by analysing a lego structure mathmatically or representing math using lego structures. For instance: ratios, number partitions, dehn invariants, geometry, enumerations, floating point math, booleans, vectors, logic, algebra, etc etc etc.

Regards, s.

Edited February 21, 2020 by SNIPE

[Thierry-GearsManiac]

I totally support your idea of a "LEGO math" forum, because it's a perfect way to bridge the gap between concrete stuff (building) and the theory behind.

A big help in case of advanced design concerns.

And a way for LEGO builders to reconcile people with maths, especially in France, where most people are allergic to maths (probably by becoming disgusted because of the way they are taught) !

 

[TechnicBrickPower]

On 2/21/2020 at 4:39 PM, msk6003 said:

Yes! 73:1 gear ratio! Now I can make perfect orbit!

 

Hi there, I have made a 73:1 design for you using the optimal solution found by the computer search. It's not that elegant but should work (I haven't built and tested it sorry lol). Let me know if it works!