Zonotopes With Large 2D Cuts
arXiv:0710.3116
Abstract
There are d-dimensional zonotopes with n zones for which a 2-dimensional central section has Ω(n^{d-1}) vertices. For d=3 this was known, with examples provided by the "Ukrainian easter eggs'' by Eppstein et al. Our result is asymptotically optimal for all fixed d>=2.
minor changes; 14 pages, 7 figures; to appear in Discrete and Computational Geometry