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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»
14 years 3 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
91
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CCCG
2007
15 years 1 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
14 years 11 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
15 years 3 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