Problem #147

What is the locus of the centroids of equilateral triangles all of whose vertices lie on the sides of a unit square?

What is the locus of the centroids of equilateral triangles all of whose vertices lie on the sides of a regular ngon with sides of length 1?

What is the locus of the centroids of squares all of whose vertices lie on the sides of a regular ngon with sides of length 1?
The solution will be posted shortly.
Back to the Advanced Problem Archives
Back to the Math Department Homepage.