On Flat Polyhedra deriving from Alexandrov's Theorem

Details On Flat Polyhedra deriving from Alexandrov's Theorem On Flat Polyhedra deriving from Alexandrov's Theorem

2010-07-13

arxiv.org/abs/1007.2016v1

Computer Science

Computational Geometry

6 pages, 2 figures

Scientific paper

We show that there is a straightforward algorithm to determine if the
polyhedron guaranteed to exist by Alexandrov's gluing theorem is a degenerate
flat polyhedron, and to reconstruct it from the gluing instructions. The
algorithm runs in O(n^3) time for polygons of n vertices.

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