“…The reported patterns exhibit symmetry that can be analyzed using some simple geometric entities, namely, segments of intersecting circles ("vesical piscis"), construction based on equilateral triangles and vesical piscis, construction based on hexagons, construction based on "four circles over one," equilateral triangles, isosceles triangles, equilateral triangles, right angle triangles, regular hexagons, regular pentagons, "5-4-3 triangles," construction based on 36 degree isosceles triangles, equilateral triangle grids, regular hexagon grids, squire grids, square and root triangles, construction based on the golden section triangle and diagonal of a rectangle, whirling square rectangles, squares with Brune's startype divisions, and Brune's stars with intersections [2] (pp. [16][17][18][19][20][21][22][23][24]34). In addition, such simple operations as translation, two-fold rotation, reflection, and glide-reflection applied to the abovementioned geometric entities can create patterns that are often seen in the cultural artifacts of the abovementioned civilizations [2].…”