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?
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2 solutions
Moderator note:
To follow up, how many different ways can this be done? Can we draw any conclusions about how the path must look like?
Choose any circle and the green arrows(in the figure) will take you to the required destination.
