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» A Class of Convex Polyhedra with Few Edge Unfoldings
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CORR
2011
Springer
149views Education» more  CORR 2011»
12 years 10 months ago
Common Edge-Unzippings for Tetrahedra
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 establ...
Joseph O'Rourke
CCCG
2007
13 years 7 months ago
On the Fewest Nets Problem for Convex Polyhedra
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Val Pinciu
EJC
2010
13 years 6 months ago
On the infinitesimal rigidity of weakly convex polyhedra
The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex poly...
Robert Connelly, Jean-Marc Schlenker
COCOON
2006
Springer
13 years 10 months ago
On Unfolding Lattice Polygons/Trees and Diameter-4 Trees
We consider the problems of straightening polygonal trees and convexifying polygons by continuous motions such that rigid edges can rotate around vertex joints and no edge crossing...
Sheung-Hung Poon