I can't help but ask... John, is your last name really EUCist? Because if so, I'd have to call you biased Naming wise: 'EUC' works for stuff like legal definitions, but I can't see it becoming common in popular culture.If there were a brand that became hugely dominant and gained significant awareness in the general public, I would use that (sort of like 'kleenex').Otherwise, any more general name needs to have either 'wheel', 'unicycle' or 'segway' in it otherwise it will have nothing to do with the product. I prefer 'wheel' because 'unicycle' sounds dorky.Some possible 'wheel' names, branded or not: MonoWheel, SoloWheel, AirWheel, GlideWheel, eWheelPersonally I think AirWheel is the best combination of descriptive and non-dorky, but I don't want to support the brand - so as runner up I'd prefer eWheel or glidewheel. A quick google search shows that 'eWheel' is already being used for electric unicycles (there's actually another community ewheels.org), whereas 'glidewheel' turns up some electronic components, so in my opinion eWheel is the clear winner.