I see, this is actually a good idea. I would honestly love just a few keyboards like this, so that some people can get what they want (I can adapt very quickly between types of keyboards, being a computer scientist), and this type of keyboard would help me a lot more.
The space key could be the same as usual, but instead of only two vertexes on each side, it would have 3. Same goes for the backspace, shift, and tab buttons. The staggering could still exist, but the keys would be divided into 3 types of rows, which would likely help the typist associate letters with others and increase organization. In fact, the buttons could be placed with alternating exterior sides parallel to each other, which provides staggering and organization at once, and decreases cognitive load. Also, the keys could be compacted far more than the keyboard on, say, a laptop, which would mean more space to put similar shortcut keys and other aids. Additionally, if this keyboard comes into effect, it wouldn't be nearly as different as, say, a 3-Dimension Keyboard (holographic), but could be similarly compact.
The shape of these keys also appear far more natural and pleasing on the eye than square, misplaced keys. Finally, even if these keyboards weren't mass-produced, they could still be very helpful to scientific facilities for their compactness and the fact that they're a lot less difficult to type on. The reason I give the last reason is because although it may seem that out current QWERTY keyboards seem easy enough to type on, it would likely be far easier to type on a Hex keyboard due to the 3 levels of organization, or even 4. We are already adjusted to the QWERTY keyboards because we are taught that way, and indeed, I am currently using one. However, it may be a lot easier to use, say, an ABCDEF keyboard because you know where the letters are, for you likely know the alphabet. That on a Hex keyboard would provide the fourth level of organization.
In conclusion, a keyboard with hexagonal keys may be difficult to accept at first, but if the world attempts typing with one, it is possible that this type of keyboard could overthrow the current QWERTY, AZERTY, etc keyboards.
Note: English is not my first language, so pardon if I misuse or misspell words. Also, I apologize if my wording wasn't as good as it could be.