A unique representation of polyhedral types
度量几何
2007-05-23 v2 组合数学
几何拓扑
摘要
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.
引用
@article{arxiv.math/0401005,
title = {A unique representation of polyhedral types},
author = {Boris A. Springborn},
journal= {arXiv preprint arXiv:math/0401005},
year = {2007}
}
备注
4 pages, 2 figures. v2: belated upload of final version (of March 2004)