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2n-sided rhombic polygon splits into 666 rhombic quadrilaterals

Source: Rioplatense 1995 L3 P6

September 19, 2022
geometrycombinatoricscombinatorial geometry

Problem Statement

A convex polygon with 2n2n sides is called rhombic if its sides are equal and all pairs of opposite sides are parallel. A rhombic polygon can be partitioned into rhombic quadrilaterals. For what value ofn n, a 2n2n-sided rhombic polygon splits into 666666 rhombic quadrilaterals?
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