**Reference**:- Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, “Vertex-Unfolding of Simplicial Manifolds”, in
*Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday*, 2003, pages 215–228, Marcer Dekker Inc.. **Abstract**:- We present an algorithm to unfold any triangulated 2-manifold (in particular, any simplicial polyhedron) into a non-overlapping, connected planar layout in linear time. The manifold is cut only along its edges. The resulting layout is connected, but it may have a disconnected interior; the triangles are connected at vertices, but not necessarily joined along edges. We extend our algorithm to establish a similar result for simplicial manifolds of arbitrary dimension.
**Comments**:- The book is searchable on Amazon.
**Length**:- The paper is 15 pages.
**Availability**:- The paper is available in PostScript (3037k), gzipped PostScript (1692k), and PDF (166k).
- See information on file formats.
- [Google Scholar search]
**Related papers**:- VertexUnfolding_SoCG2002 (Vertex-Unfolding of Simplicial Manifolds)
- VertexUnfolding2 (Vertex-Unfoldings of Simplicial Manifolds)

See also other papers by Erik Demaine.

Last updated June 1, 2023 by Erik Demaine.