None of the places I stayed (there were just 5) had a bidets. Bidets are great, but I don't have room so I have a couple of Japanese style electronic toilets which try to combine the two.

Yes, at first I thought that these pubic toilets just had no tank, but some had a flush that's much like a tank based one, in that it peters off. Usually with high-flow piping you can flush as long as you like, but this may just be a new valve design.