aequationes mathematicae

, Volume 59, Issue 1, pp 160-176

Regular projective polyhedra with planar faces II

  • J. BrachoAffiliated withInstituto de Matemáticas, UNAM, Circuito Exterior, C.U., México D.F., 04510, México, e-mail:

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The regular projective polyhedra with planar faces and skew vertex figures are classified. There is an infinite family of tori, plus 84 special polyhedra. Correspondingly, but not explicitly, the classification of an important family of regular euclidean polyhedra in 4 dimensional space may be derived. New euclidean regular polytopes in all dimensions are defined.