, Volume 8, Issue 3, pp 304-308

Projections of 3-polytopes

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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.

Research supported by NSF Grant GP-8470.