Spiral Unfoldings of Convex Polyhedra

Publication Year:
2015
Usage 67
Downloads 67
Repository URL:
https://scholarworks.smith.edu/csc_facpubs/25
Author(s):
O'Rourke, Joseph
Tags:
Computer Sciences; Geometry and Topology; Mathematics
article description
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.