Draw a 3 1/2-inch-wide four-petal flower on one color of felt. Draw a 2 1/2-inch-wide four-petal flower on a second color of felt. Draw a 1 1/2-inch-wide four-petal flower on the third color of felt. Cut out all the flower shapes.
Stack the felt flower shapes with the largest on the bottom and the smallest on the top, with the petals of each flower laying on top of the spaces between the petals of the flower below.
Place the shank button in the middle of the top flower in the stack. Sew the button in place through all three layers of felt flowers with needle and thread.