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In this paper a study is made of the combined effect of rotation and magnetic field on the convective transfer in a horizontal Boussinesq layer of fluid heated from below, in the case when the convection celIs have a hexagonal planform. The numerical integrations of the basic equations have been carried out to high values of the Rayleigh number, and two families of solutions have been discovered. A discussion of the main properties of these solutions is given.

The Combined Effect of Rotation and Magnetic Field on Finite-amplitude Thermal Convection with Hexagonal Planform