Find the locus of centroids of equilateral triangles whose vertices lie on sides of a given square $ABCD$.
Problem
Source: Bulgaria 1982 P6
Tags: Triangles, geometry, square, Centroid, triangle centers, Locus
Source: Bulgaria 1982 P6
Tags: Triangles, geometry, square, Centroid, triangle centers, Locus
Find the locus of centroids of equilateral triangles whose vertices lie on sides of a given square $ABCD$.