Orthant polyhedra
Metric Geometry
2014-07-23 v1
Abstract
An orthant polyhedron is a polyhedron with hyperfaces, that could be realized as a section of the -dimensional non-negative orthant. We classify all 2-dimensional orthant polyhedra and provide some partial results towards the classification of higher dimensional orthant polyhedra. As a consequence of our results we show that every polytope could be realized as a section of the -dimensional non-negative orthant with being big enough.
Keywords
Cite
@article{arxiv.1407.5970,
title = {Orthant polyhedra},
author = {Nikolay Pechenkin},
journal= {arXiv preprint arXiv:1407.5970},
year = {2014}
}
Comments
19 pages; Russian text