There exists no pentagon in the plane all of whose lengths (sides and diagonals) are rational.Passed on to me by a friend. And no, I don't know the answer.
One fact that is known: no regular pentagon in the plane can have integer coordinates.
Wednesday, January 31, 2007
A pentagon problem
Prove or disprove:
One fact that is known: no regular pentagon in the plane can have integer coordinates.
One fact that is known: no regular pentagon in the plane can have integer coordinates.
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