These shuttlecocks are for use with a hagoita to play hanetsuki. They have gray beads with feathers attached to them and resemble flowers: one has pink and white feathers with a yellow center, the other has white feathers with an orange center.
A shuttlecock (also called a bird or birdie) is a projectile used in the game hanetsuki (and in badminton). It has a conical shape made from feathers attached to a spherical base. The conical shape makes the shuttlecock aerodynamically suited to these types of games.
Hanetsuki is a traditional Japanese game played in a similar manner to badminton, but without the use of a net. The paddles are called hagoita. Hanetsuki is popular during the New Year. There are two variations: one in which a single person attempts to keep the shuttlecock in the air for as long as possible, and another in which two people hit the shuttlecock back and forth.