Ingenious folds that create waterproof containers are interesting:
Massaging the edges to the top and finishing them off decoratively so they lock and stay together is an art, this little vase is a beauty, apart from the whole 1/3rd 1/6th thing necessary to initially pleat the structure. 
I cheated, did a square in quarters and cut off one quarter on 2 sides to leave thirds – am sure there is a method to precisely fold thirds though. I could imagine this in tissue-foil with camellia blossoms – a pretty bit of geometric paper torture – see if you can follow along.
Taken from a book I bought in Japan, no idea what it is called, sorry as it is all in Japanese.
It’s called “Chinese Vase” according to this one book I have.
“This wonderful design was first introduced to the West by Dr. Philip Shen and popularized in the USA by Verdi Adams.”