Hamiltonian Mazes - Play this Free Online Puzzles Game which is a Hamiltonian game, puzzlesLanguages and all free games on Pulado
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Game Instructions

Category: Puzzles
Description: Find a loop through the maze that passes through every circle exactly once
Instructions:
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Games Like This: Hamiltonian Mazes a Free Online Game
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Tips: Setting the opponent movement speed to zero can give you a platform for you to do your own animation instead the opponent graphic. You could make an opponent popup and then hide again using animation instead of the built in movement.