**Reference**:- Therese C. Biedl, Erik D. Demaine, Sylvain Lazard, Steven M. Robbins, and Michael A. Soss, “Convexifying Monotone Polygons”, Technical Report CS-99-03, Department of Computer Science, University of Waterloo, March 1999.
**Abstract**:-
This paper considers reconfigurations of polygons, where each polygon edge is a
rigid link, no two of which can cross during the motion. We prove that one can
reconfigure any monotone polygon into a convex polygon; a polygon is
*monotone*if any vertical line intersects the interior at a (possibly empty) interval. Our algorithm computes in*O*(*n*^{2}) time a sequence of*O*(*n*^{2}) moves, each of which rotates just four joints at once. **Length**:- The paper is 12 pages.
**Availability**:- The paper is available in PostScript (242k).
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**Related papers**:- ISAAC99 (Convexifying Monotone Polygons)
**Related webpages**:- Carpenter's Rule Theorem

See also other papers by Erik Demaine.

Last updated June 1, 2023 by Erik Demaine.