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» Ununfoldable Polyhedra with Convex Faces
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DAGSTUHL
2000
13 years 7 months ago
Similarity Measure Computation of Convex Polyhedra Revisited
We study the computation of rotation-invariant similarity measures of convex polyhedra, based on Minkowski's theory of mixed volumes. To compute the similarity measure, a (mix...
Jos B. T. M. Roerdink, Henk Bekker
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
ESA
2009
Springer
130views Algorithms» more  ESA 2009»
14 years 10 days ago
Cauchy's Theorem for Orthogonal Polyhedra of Genus 0
A famous theorem by Cauchy states that a convex polyhedron is determined by its incidence structure and face-polygons alone. In this paper, we prove the same for orthogonal polyhe...
Therese C. Biedl, Burkay Genc
CCCG
2003
13 years 7 months ago
Equiprojective Polyhedra
A convex polyhedron P is equiprojective if, for some k, the orthogonal projection (or “shadow”) of P in every direction, except those directions parallel to faces of P, is a k...
Masud Hasan, Anna Lubiw