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6

Part of 1995 Rioplatense Mathematical Olympiad, Level 3

Problems(1)

2n-sided rhombic polygon splits into 666 rhombic quadrilaterals

Source: Rioplatense 1995 L3 P6

9/19/2022
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?
geometrycombinatoricscombinatorial geometry