Volume no :9, Issue no: 1, -2 May and June 2011

Journal of Mathematical Sciences: Advances and Applications

ON THE OVERLAPPINGS IN THE UNFOLDINGS OF THE DODECAHEDRON

Author's: HANS L. FETTER and JUAN H. ARREDONDO RUÍZ
Pages: [1] - [20]
Received Date: May 09, 2008
Submitted by:

Abstract

No polyhedra have been found on which does not have a net, though most of its possible unfoldings overlap. In the particular case of the dodecahedron, the total number of unfoldings is 43380. We state by means of purely theoretical considerations that every unfolding is a net.

Keywords

unfolding, dodecahedron, Shephard’s conjecture.