Israel Journal of Mathematics

, Volume 91, Issue 1–3, pp 249–251 | Cite as

Realizability of the torus and the projective plane in ℝ4

  • Ulrich Brehm
  • Göran Schild


We show that every triangulation of the projective plane or the torus is isomorphic to a subcomplex of the boundary complex of a simplicial 5-dimensional convex polytope and thus linearly embeddable in ℝ4.


Projective Plane Simplicial Complex ISRAEL Journal Boundary Complex Convex Polytope 
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Copyright information

© The Magnes Press 1995

Authors and Affiliations

  • Ulrich Brehm
    • 1
  • Göran Schild
    • 2
  1. 1.Institute of GeometryTechnical University of DresdenDresdenGermany
  2. 2.German National Research Center for Computer Science (GMD)Sankt AugustinGermany

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