Document Type
Article
Publication Date
10-19-2015
Abstract
The notion of a spiral unfolding of a convex polyhedron, resulting by flattening a special type of Hamiltonian cut-path, is explored. The Platonic and Archimedian solids all have nonoverlapping spiral unfoldings, although among generic polyhedra, overlap is more the rule than the exception. The structure of spiral unfoldings is investigated, primarily by analyzing one particular class, the polyhedra of revolution.
Recommended Citation
O'Rourke, Joseph, "Spiral Unfoldings of Convex Polyhedra" (2015). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/25
Comments
Author’s submitted manuscript.