A unique representation of polyhedral types
Please always quote using this URN:urn:nbn:de:0296-matheon-1039
- It is known that for each combinatorial type of convex 3-dimensional polyhedra, there is a representative with edges tangent to the unit sphere. This representative is unique up to projective transformations that fix the unit sphere. We show that there is a unique representative (up to congruence) with edges tangent to the unit sphere such that the origin is the barycenter of the points where the edges touch the sphere.
Author: | Boris A. Springborn |
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URN: | urn:nbn:de:0296-matheon-1039 |
Referee: | Günter M. Ziegler |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2004/03/20 |
Release Date: | 2004/03/18 |
Institute: | Technische Universität Berlin |
Zuse Institute Berlin (ZIB) | |
Preprint Number: | 102 |