Israel Journal of Mathematics

, Volume 8, Issue 3, pp 304–308

Projections of 3-polytopes

  • David W. Barnette


Given any 3-dimensional convex polytopeP, and any simple circuitC in the 1-skeleton ofP, there is a convex polytopeP′ combinatorially equivalent toP, and a direction such that ifP′ is projected orthogonally in this direction, then the inverse image of the boundary of the projection is the circuit inP′ corresponding to the circuitC inP.


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Copyright information

© Hebrew University 1970

Authors and Affiliations

  • David W. Barnette
    • 1
  1. 1.University of CaliforniaDavis

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