Mazes on Riemann Surfaces

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A maze consists of U-shaped sheets of different colors covered with squares. The sheets are glued together (reminiscent of a Riemann surface) with colored rectangular tabs that connect squares on different sheets, unless there is a thick black line. Find the shortest path from the black dot to the gray dot!
Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA
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"Mazes on Riemann Surfaces"
http://demonstrations.wolfram.com/MazesOnRiemannSurfaces/
Wolfram Demonstrations Project
Published: March 7 2011