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Re: pic: Omnibot
If you move the wheels to opposite corners the math will work out exactly the same as it would for the configuration shown.
There are two advantages that a holonomic base built using this configuration has over a swerve drive:
1) The modules are lighter and less complex.
2) The robot can translate and rotate at the same time (I've seen this called "frisbee motion")
The programming is more complex, but there are plenty of examples available to get you started.
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