Consider the family of non-intersecting, Quadrangular (\(N=4\)) orbits in an elliptic billiard, \(a/b=1.5\). Each orbit will contain 1 distinct subtriangles (up to cyclic symmetry), e.g., defined by vertices 123:

Each row below depicts the locus of \(X(i)\), \(i=1,2,\ldots 100\) for those subtriangles shown combined and separately.

Go back to main page.