Projected Products of Polytopes
Metric Geometry
2007-05-23 v1 Combinatorics
Abstract
We construct a 2-parameter family of 4-dimensional polytopes with extreme combinatorial structure: In this family, the ``fatness'' of the f-vector gets arbitrarily close to 9, the ``complexity'' (given by the flag vector) gets arbitrarily close to 16. The polytopes are obtained from suitable deformed products of even polygons by a projection to four-space.
Cite
@article{arxiv.math/0407042,
title = {Projected Products of Polytopes},
author = {Günter M. Ziegler},
journal= {arXiv preprint arXiv:math/0407042},
year = {2007}
}
Comments
8 pages (extended abstract)