A pattern of standing surface waves in the form of equilateral triangles is observed in the Faraday experiment with two-frequency forcing. By perturbing with a third frequency the dynamics of a ``phason mode'' is under external control and transitions between triangles and hexagons can be enforced. The experiment is understood in terms of a three-mode amplitude equation model.
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Hanns Walter Müller (1993) studied this question.
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