Problem #147
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What is the locus of the centroids of equilateral triangles all of whose vertices lie on the sides of a unit square?
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What is the locus of the centroids of equilateral triangles all of whose vertices lie on the sides of a regular n-gon with sides of length 1?
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What is the locus of the centroids of squares all of whose vertices lie on the sides of a regular n-gon with sides of length 1?
The solution will be posted shortly.
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