Obviously, decreasing water usage is a big topic in bathroom fixture design (whether through gravity assistance, hydrophobic coatings, etc.). This is not a requirement, but thing I’ve been keeping in mind. All of the low-water usage urinals I’ve examined don’t meet features 1 or 2 as mentioned above.
There are a number of no-water urinals on the market now – Kohler, American Standard, Sloan are a few. They all use a variation of the same drain/vapor sealing system that could be applied to any shape.