Alt Cube Duel

Newton's method alternated between f(z) = z^3 - 1 on odd half-steps and g(z) = z^3 + 1 on even ones, both relaxed by a single real m = 0.565. The composition has six attracting fixed points belonging to neither root set, a triad at |z| = 0.6175 on the rays of the roots of f and a triad at |z| = 0.9951 on the rays of the roots of g. Convergence is linear at rate 0.9408, so the smooth count is a single logarithm. The window sits on the boundary between the 120 and 60 degree basins.