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Seven Region Partition (Posted on 2017-05-27) Difficulty: 3 of 5
The diameter of a polygon is defined as the longest distance between any pair of vertices of the polygon.

Partition a unit equilateral triangle into seven regions so that all seven regions have the same polygon diameter.

How small can that diameter be made?

No Solution Yet Submitted by Brian Smith    
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re: Solution? | Comment 2 of 3 |
(In reply to Solution? by Steve Herman)

I think you mean similar right trapezoids instead of parallelograms.  Anyways, I come up with a polygon diameter of (-1+sqrt(45))/11 = 0.51893 for your configuration.  But that is still larger than what I have.  

My arrangement does use a central triangle like yours, but I don't connect any segments to the midpoints of either triangle.

  Posted by Brian Smith on 2017-05-28 10:31:08
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