@article{oai:ynu.repo.nii.ac.jp:00004149, author = {Nishimura, Takashi and Sakemi, Yu}, issue = {1}, journal = {Journal of the mathematical society of Japan}, month = {}, note = {In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topological characterization of the limit of Wulff shapes and the dual Wulff shape of the given Wulff shape are provided. Moreover, we show that the given Wulff shape is never a polytope if its support function is of class C¹. Several characterizations of the given Wulff shape from the viewpoint of pedals are also provided. One of such characterizations may be regarded as a bridge between the mathematical aspect of crystals at equilibrium and the mathematical aspect of perspective projections.}, title = {Topological aspect of Wulff shapes}, volume = {66}, year = {2014} }