I don’t think it’s likely that there is a minimum volume, at least not a discrete quantized one. It would have to be a [regular honeycomb tessellation](https://en.wikipedia.org/wiki/Honeycomb_(geometry\)) that shows no bias towards any particular direction (i.e. no corners). There are no shapes that fulfill both of those conditions in 3D space.

It’s so fucking funny how Twitter and Reddit are imploding on the exact same day lmao.