For one axle with one wheel, can the following rules be met and if so, what would be the most simplistic implementation?
Rule #1. Axle rotates clockwise: Wheel rotates at a 1:1 ratio with the axle. The direction of the wheel compared to the axle does not matter.
Rule #2. Axle rotates counter clockwise: Wheel rotates, but at less than a 1:1 ratio with the axle. The direction of the wheel compared to the axle does not matter.
If this already exists as a part manufacturers produce, what is it called?
How far have I gotten with this concept? Not very. Having a ratcheting mechanism sounds like it'd be a necessity or possibly some kind of planetary gear train.. but I'm coming up empty for actual solutions.
The purpose of this would be to have a single motor drive a small toy car/robot forward/right when the motor rotates one way and forward/left when the motor rotates the other way. The motor would be attached to a bevel/mitre gearbox similar to the image below. The bottom is where the motor would go and the mechanism I'm describing should go on both the right and left sides along with the wheels. At least, this is what I'd envision so far to accomplish my goal.
PS: I'm really just doing this for the novelty of it. I'm just getting into electronics and this was a challenge for myself (which I need help with it would seem, lol).