Abstract

A 3-prismatoid is the convex hull of two convex polygons A and B which lie in parallel planes HA,HB⊂R3. Let A˜ be the orthogonal projection of A onto HB. A 3-prismatoid is called nested if A˜ is properly contained in B, or vice versa. We show that every nested 3-prismatoid has an edge-unfolding to a non-overlapping polygon in the plane.

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