A necklace is to be created that contains only square shapes, circular shapes, and triangular
shapes. A total of 180 of these shapes will be 1
square, 1 circle, 1 triangle, 2 squares, 2 circles, 2
triangles, 3 squares, 3 circles, 3 triangles, with
the number of each shape type increasing by one
every time a new group of shapes is placed. The
diagram illustrates how the first 18 shapes would
be strung. Once the necklace is completed, how
many of each shape would the necklace contain?