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A spherical Wulff shape is the spherical counterpart of a Wulff shape whichis the well-known geometric model of a crystal at equilibrium introduced by G.Wulff in 1901. As same as a Wulff shape, each spherical Wulff shape has itsunique dual. The spherical dual transform for spherical Wulff shapes is themapping which maps a spherical Wulff shape to its spherical dual Wulff shape.In this paper, it is shown that the spherical dual transform for sphericalWulff shapes is an isometry with respect to the Pompeiu-Hausdorff metric.

The spherical dual transform is an isometry for spherical Wulff shapes