Hexagonal storm on Saturn

At the north pole of Saturn has more than 30 years there is a giant storm in the shape of a hexagon, each side of which is greater than the diameter of Earth. This hexagon does not move on the planet, rotates and maintains its shape. This phenomenon still has no explanation. The following is a mathematical model of such a storm similar to the mathematical model of an ocean whirlpool (proposed earlier by the author). Also in the article shows that the energy source, that allows the storm to spin for a long time, is the gravitational field of Saturn.