Two Points on a Polyhedron

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Maze rule: it is possible to move between faces that are neighbors in the polyhedron but are NOT neighbors in the 2D polyhedral net. Find the length of the shortest path between two given points on the polyhedron (count the number of edges crossed on the polyhedron).
Contributed by: Izidor Hafner (January 2012)
Open content licensed under CC BY-NC-SA
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"Two Points on a Polyhedron"
http://demonstrations.wolfram.com/TwoPointsOnAPolyhedron/
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Published: January 31 2012