Exploring Centroid Loci of Equilateral Triangles on a Unit Circle

This GeoGebra example demonstrates geometric transformations and locus problems involving equilateral triangles on a unit circle. Using rotation, reflection, and vector operations, it constructs multiple loci of moving points (loc1, loc2, loc3) to explore the motion patterns of the triangle's centroid (barycenter). The construction integrates circles, circle arcs, polygons, and segments, showcasin