Computer Science – Computational Geometry
Scientific paper
2004-07-28
Computer Science
Computational Geometry
19 pages, 15 figures, 1st draft Revised version corrects an error in the proof of Lemma 3.3. The statement of the lemma remain
Scientific paper
We define a notion for unfolding smooth, ruled surfaces, and prove that every smooth prismatoid (the convex hull of two smooth curves lying in parallel planes), has a nonoverlapping ``volcano unfolding.'' These unfoldings keep the base intact, unfold the sides outward, splayed around the base, and attach the top to the tip of some side rib. Our result answers a question for smooth prismatoids whose analog for polyhedral prismatoids remains unsolved.
Benbernou Nadia
Cahn Patricia
O'Rourke Joseph
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