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CORR
2007
Springer
97views Education» more  CORR 2007»
13 years 4 months ago
Unfolding Restricted Convex Caps
This paper details an algorithm for unfolding a class of convex polyhedra, where each polyhedron in the class consists of a convex cap over a rectangular base, with several restri...
Joseph O'Rourke
CCCG
2007
13 years 6 months ago
Unfolding Polyhedra via Cut-Tree Truncation
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, always unfold without overlap. The class includes the “domes,” providing a sim...
Alex Benton, Joseph O'Rourke
SGP
2007
13 years 6 months ago
Developable surfaces from arbitrary sketched boundaries
Developable surfaces are surfaces that can be unfolded into the plane with no distortion. Although ubiquitous in our everyday surroundings, modeling them using existing tools requ...
Kenneth Rose, Alla Sheffer, Jamie Wither, Marie-Pa...