Truly omnidirectional omniwheels?

[Exotria]

I've looked at omniwheels a lot lately(brainstorming for next season and all), and I can't help but notice that if you need to move an omniwheel diagonally, it wouldn't work too well. Is this true? It seems to me like potential omnidirectional drivetrains are stopped because omniwheels wouldn't be able to work for their design. Has anyone designed an omniwheel with the edge wheels swiveling so that they can move in any direction? I know that if the little wheels went in the same direction as the overall wheel, it wouldn't work, but that can easily be stopped from happening with a slight design alteration.

So... would it be possible to make an omniwheel like that? It'd probably be expensive, but it would open up a lot of spiffy drive trains. Imagine a hexagon drive train(the result of brainstorming at one in the morning). Or a triangle with two wheels per side. The angles would usually stop it, but with the augmented design of omniwheels, they could be given the ability to work.

I only joined my team this season, and I was one of those, "Come and work on whatever needs to be done" people, so I typically ended up drilling holes in things. Thus, my knowledge of engineering from this season is... limited. Hence, I've come to the ChiefDelphi forums, because from what I've heard, that's where people know stuff. So tell me- is my idea good, or am I just spouting nonsense?