Regular projective polyhedra with planar faces. II
This paper is a sequel to the paper ibid., 55-73 (2000; Zbl 0952.52011 above) by \textit{J. L. Arocha}, \textit{J. Bracho} and \textit{L. Montejano}. The author studies in full generality projective polyhedra with planar faces and skew vertex figures. After recalling some of the terminology of polyhedra in the projective context, the author also gives the definition of various operations on polyhedra in the projective context: the mixing operator, the dual, the Petrie operator, the \(j\)-hole operator. Using these operations he is able to produce a list consisting of an infinite family of tori and of 84 special projective polyhedra. To complete the classification he establishes that the preceding list is complete, using separate arguments for the case of polyhedra with antiprismatic and the case of polyhedra with skew-prismatic vertex figures.
scientific article; zbMATH DE number 1436173