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Isosceles from Regular (Posted on 2012-01-20) Difficulty: 3 of 5
Which regular polygons can be dissected into isosceles triangles by non-intersecting diagonals?

See The Solution Submitted by Jer    
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Not sure if this is what you want | Comment 1 of 13

Here's one:  a square, one diagonal splits the square into 2 isosceles triangles.

Does this mean a hexagon with diagonals connecting A to C, C to E, and E to A would not qualify?  In this case the diagonals don't cross each other but they do touch each other.  So then they aren't non-intersecting?  So no vertex can have more than one chord coming out of it?

Does each point inside the dissected polygon have to belong to an isosceles triangle (I assume 'yes'), or can some of the area be other shapes?


  Posted by Larry on 2012-01-20 23:18:38
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