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We study a tropical analogue of the projective dual variety of a hypersurface. When   X   is a curve in    P  2    or a surface in    P  3   , we provide an explicit description of    Trop  (   X  ∗   )    in terms of    Trop  (  X  )   , as long as    Trop  (  X  )    is smooth and satisfies a mild genericity condition. As a consequence, when   X   is a curve we describe the transformation of Newton polygons under projective duality, and recover classical formulas for the degree of a dual plane curve. For higher dimensional hypersurfaces   X  , we give a partial description of    Trop  (   X  ∗   )   .

Projective duals to algebraic and tropical hypersurfaces