English

Common Edge-Unzippings for Tetrahedra

Computational Geometry 2011-06-09 v2 Discrete Mathematics

Abstract

It is shown that there are examples of distinct polyhedra, each with a Hamiltonian path of edges, which when cut, unfolds the surfaces to a common net. In particular, it is established for infinite classes of triples of tetrahedra.

Keywords

Cite

@article{arxiv.1105.5401,
  title  = {Common Edge-Unzippings for Tetrahedra},
  author = {Joseph O'Rourke},
  journal= {arXiv preprint arXiv:1105.5401},
  year   = {2011}
}

Comments

9 pages, 4 figures. Version 2 simplifies one proof

R2 v1 2026-06-21T18:13:18.397Z