Antisymmetric Orthogonal Polynomials: Edge Plots
Since the Antisymmetric Polynomials have two types of edges, we have two different types of plots.
The first we call the bottom edge, it is the edge which interesects the line of antisymmetry. Notice that as the degree of the polynomial increases, so does the number of zeros. Also, it seems that the zeros are "interweaving" between degrees, as in classical OP theory. Finally, we note that the zeros seem to cluster near the endpoints.
The second we call the side edge. Note that the number of zeros tend to increase with the degree of the polynomial. As well, the zeros tend to cluster near one endpoint.
