Create a wooden ring, using 1/4 inch plywood, drill press, 5/8 inch Forstner Bit, and 1 3/8 Hole Saw.
Clamp 1/4 inch plywood to drill press platform.
Fasten 5/8 inch Forstner Bit to the drill press.
Position the platform to the desired position. (The diameter of the ring will be 1 3/8 so ensure you leave yourself enough room on the plywood.) Lock the platform in place.
Drill the center hole for the ring.
Keeping your platform in the exact same place remove the Forstner bit and replace it with the 1 3/8 Hole Saw. Drill outer portion of the ring.
Cut the desired amount of rings and set the aside.
Cut single ply cardboard into 3 1/2 x 10 1/2 inch pieces. Ensure the flutes run up and down so that you fold with them rather than across them. Roll cardboard into a tight spiral to pre-bend the cardboard.
Place wooden ring on PVC pipe.
Using hot glue tightly wrap and glue the single ply cardboard onto the top portion of the PVC pipe. Ensure it is secure and then place the glue on the top of the wooden ring (part adjacent to the cardboard) and glue the ring to the bottom of the wrapped cardboard piece. Diameter of the cardboard should match the diameter of the ring.
Sand the edge where the cardboard overlaps at the top with the belt or disc sander.
NOTE: The dimensions above instruct how to fabricate small pummels for toddlers. The length of the PVC and the diameter of the ring/wrapped cardboard may be adjusted to create a larger pummel.