Once and Only Once

Traveling along the edges of this figure, can you find a path that ends where it begins and that visits each of the 13 dots in the figure exactly once (with the exception of the one where it both starts and finishes)?

Details and Assumptions

• You can start your path anywhere, but it must end in the same place
• You can use the edges between the dots more than once

Bonus: If you believe it's impossible, prove why. If you believe it''s possible, how many different ways can it be done?