  The unprecedented light curves of the Kepler space telescope document how the
brightness of some stars pulsates at primary and secondary frequencies whose
ratios are near the golden mean, the most irrational number. A nonlinear
dynamical system driven by an irrational ratio of frequencies generically
exhibits a strange but nonchaotic attractor. For Kepler's "golden" stars, we
present evidence of the first observation of strange nonchaotic dynamics in
nature outside the laboratory. This discovery could aid the classification and
detailed modeling of variable stars.
