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TOT 505 1996 Autumn J O2 tile an equilateral triangle with trapezoids

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August 16, 2024
trapezoidEquilateraltilesgeometrycombinatoricscombinatorial geometry

Problem Statement

For what positive integers nn is it possible to tile an equilateral triangle of side nn with trapezoids each of which has sides 1,1,1,21, 1, 1, 2?
(NB Vassiliev)