Usage patterns
〈物〉に図柄が入っているto have a design printed on 〈物〉
This cup has a floral design on it.
図柄を選ぶto choose a design
Choosing the design for a stamp is fun.
図柄が変わるfor the design to change (e.g., with a new edition or season)
The new banknote has a different design.