Using your Head is Permitted
April 2015 solution
This month, Radu-Alexandru Todor not only suggested the riddle, solved it,
and wrote up the solution in a way that now allows me to present it with
absolutely no editing on my part, he also managed to solve my challenge
question, fully characterising all linear relations over the length-sorted
edges that any quadrilateral must satisfy.
His solution can be found here.
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