Ahh, then the free would be that. Free was designed to mimic barefoot running. Thats why they called them free and made commercials of people running around naked. They are also meant to be used progressively when one builds up their stability muscles.
I will say that above the 3.0 mark they increase in sole size but still are barefoot running shoes. I mean they were out there waaaay before any other of these shoes. But this is why the free was designed. I think minimus is a brand term from one of the other barefoot brands.
Not trying to be an ass or anything. Just have some decent knowledge about most Nike products.