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Tuesday, August 15, 2006

 

9:38

When constructing a regular polyhedron out of paper, one generally starts by drawing connected regular polygons, such that when they are cut out and folded on the common edges, they will become the faces of the solid. This process leads to a question. Assuming the polyhedron is made from a single piece of paper, how many different ways are there to draw the polygons? It turns out this is equivalent to the question of how many trees can be drawn on the dual polyhedron, where the vertices and edges of the trees are vertices and edges of the solid, and such that all the vertices are used.

Comments:
Hi... I give up... how many??? You are ahead of me in that area. (:0}
And thats good. Love Your G-Ma
 
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