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A problem solving approach to some applications of the roots of unity to regular polygons. (English) Zbl 1259.51006

Summary: The aim of this note is to emphasize the unity between geometry, algebra and analysis, by means of two applications of complex numbers to the study of regular polygons. We use an heuristic problem-solving approach to find a complete description of lattice regular polygon inscribed in that circle. We also give an example of the use of mathematical software in arriving at a conjecture for calculating the above-mentioned sum.

MSC:

51M04 Elementary problems in Euclidean geometries
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