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A regular octahedron is made up of eight equilateral triangles, each with side length one unit, as shown below. An ant starts at the top vertex, walks along the edges of the triangles without ever traversing the same edge twice, and ends at the top vertex. If she did not pass through the top vertex at any other point in her walk, how many units are in the maximum distance she could walk?
Please don't give an answer without an explanation, they don't help much

 Dec 7, 2020
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 Dec 7, 2020
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The ant can go from the top to the middle, and around, and back to the top.  This gives a maximum distance of five units.

 Dec 8, 2020

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