Also known as: 团扇, 團扇, 宫扇, 纨扇
A type of Chinese Hand Fan, they're often somewhat transparent. It's a common accessory to accompany Hanfu or a China Dress, sometimes used to cover one's mouth.
Not to be confused with an Uchiwa. While both are round fans, a tuanshan is completely round, made with silk instead of paper, and has no hole.