×

On the moduli space of polygons in the Euclidean plane. (English) Zbl 0854.51016

The topology of moduli spaces of polygons with fixed side lengths in the Euclidean plane is studied. A duality between the spaces of marked Euclidean polygons with fixed side length and marked convex polygons with prescribed angles is established.
Editorial remark: This is a reprint of [J. Differ. Geom. 42, No. 1, 133–164 (1995; Zbl 0847.51026)] which was accidentally printed without figures.

MSC:

51M20 Polyhedra and polytopes; regular figures, division of spaces
58D29 Moduli problems for topological structures

Citations:

Zbl 0847.51026
PDFBibTeX XMLCite
Full Text: DOI