A necklace is to be created that contains only square, circular, and triangular beads. A total of \(180\) beads will be strung on the necklace as follows. First, \(1\) square, then \(1\) circular, and then \(1\) triangular bead are strung on the necklace. Then, \(2\) square, then \(2\) circular, and then \(2\) triangular beads are strung on the necklace. This pattern continues, with each time there being one more of each type of bead strung on the necklace. So, next there are \(3\) square, then \(3\) circular, and then \(3\) triangular beads strung on the necklace, then \(4\) square, then \(4\) circular, and then \(4\) triangular beads, and so on.
Once the necklace is completed, how many of each bead shape will be on the necklace?
Theme: Number Sense