P := RandomGoodPoly(30):
N := 300:
a := 0.3:
EllipseProperties(P, alpha = a, scaling = "eval"):
AnimateConvergence(P, N, alpha = a, scaling = "eval");
Under eigenvalue rescaling, the limiting ellipse will have normal form equation:
0.09 x^2 + -0.03 xy + 0.03 y^2 = 1
which has:
semi-major axis length = 6.2455
semi-minor axis length = 3.3407
eccentricity = 0.84492
with the semi-major axis tilted at an angle of 102.37 degrees counter-clockwise from the x-axis.
