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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    
Rating: 5.0000 (1 votes)

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re(2): Not sure if this is what you want - A rewrite. | Comment 3 of 13 |
(In reply to re: Not sure if this is what you want - A rewrite. by Jer)

I read "non-intersecting" as within the defined area.
Interesting how we can misinterpret, or even misrepresent terminology; we carelessly refer, for instance, to the 4 diagonals of a square when in fact they are axes of symmetry.

Ok!  For starters, these seem right:
Pentagon - 5; one tall and thin flanked by two on the perimeter
Hexagon - 3 but with an enclosed equilateral!!!  Not a solution.
Octagon - 6; 4 around the perimeter to leave a square divided corner to corner.
Decagon - 8; 5 around the perimeter to create a pentagon which is divided as above.


  Posted by brianjn on 2012-01-21 02:16:56

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