Every generating polytope is strongly monotypic
Combinatorics
2025-07-15 v2
Abstract
We prove an old conjecture of McMullen, Schneider and Shephard that every polytope with the generating property is strongly monotypic. The other direction is already known, which implies that strong monotypy and the generating property for polytopes are the same notion. A criterion for monotypic and strongly monotypic polytopes is also given.
Keywords
Cite
@article{arxiv.2210.07690,
title = {Every generating polytope is strongly monotypic},
author = {Vuong Bui},
journal= {arXiv preprint arXiv:2210.07690},
year = {2025}
}
Comments
10 pages, 2 figures; the exposition is enhanced. arXiv admin note: text overlap with arXiv:2109.08448