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## Irregular hexagons with equal angles [closed]

Hello,

I have an irregular hexagon whose interior angles are all $2\pi/3$. That is, every pair of opposite edges are parallel. I have the distance between every pair of opposite edges, and I wish to find the perimeter of the hexagon. Intuitively, this seems possible, but I'm not sure how to do it. Also, is there a name for such a hexagon?

If that helps, I can also assume that every pair of opposite edges have the same length.

The opposite edges should not have the same lengths. For instance, the edge lengths may be $a$, $b$, $a$, $b$, $a$, $b$ in a cyclic order. You may also add up this sequence and $c$, $d$, $e$, $c$, $d$, $e$... – Ilya Bogdanov Nov 22 at 15:44