Israel Journal of Mathematics

, Volume 8, Issue 3, pp 304–308

Projections of 3-polytopes


  • David W. Barnette
    • University of California

DOI: 10.1007/BF02771563

Cite this article as:
Barnette, D.W. Israel J. Math. (1970) 8: 304. doi:10.1007/BF02771563


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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© Hebrew University 1970