My data support my hypothesis because numerical patterns did exist in my t-charts. I found out that the number of bumps on a circle uses the greatest integer function and 2rb/Pi,where r is the radius of the circle,and b the period of the added sine function. With ellipses,the number of bumps uses the greatest integer function and 2rb/Pi,where c is the radius along the x-axis for the ellipse. Based on all the data and research I have gathered,was able to see a relationship between the number of bumps a sine curve creates on a circle when added together and the period of the sine function.