Israel Journal of Mathematics

, Volume 8, Issue 3, pp 304–308

Projections of 3-polytopes

Authors

  • David W. Barnette
    • University of California
Article

DOI: 10.1007/BF02771563

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

Abstract

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.

Copyright information

© Hebrew University 1970