4 search results - page 1 / 1 » Cauchy's Theorem and Edge Lengths of Convex Polyhedra |
WADS
2007
Springer
14 years 27 days ago
2007
Springer
In this paper we explore, from an algorithmic point of view, the extent to which the facial angles and combinatorial structure of a convex polyhedron determine the polyhedron—in ...
EJC
2010
13 years 6 months ago
2010
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...
ESA
2009
Springer
14 years 1 months ago
2009
Springer
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...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
We propose a variant of Cauchy's Lemma, proving that when a convex chain on one sphere is redrawn (with the same lengths and angles) on a larger sphere, the distance between ...