Fold the square in half horizontally, then in half vertically.
Rotate the folded square so that the center point is at the top, then fold the square in thirds vertically.
Cut out snowflake openings along the folded sides and trim the bottom edge as desired.
Unfold the snowflake and punch a hole in one paper point for hanging. Note: If you do not want the folds to show, use the folded and cut snowflake for a template, trace it onto paper, and cut out using a crafts knife.
Glue the dowel into the hole in the center of the wheel; let dry.
Place two narrow lines of wood glue along opposite sides of the length of dowel, then thread the wooden beads onto the dowel.