Zonotopes With Large 2D Cuts
classification
🧮 math.MG
math.CO
keywords
zonotopesasymptoticallycentralcutsd-dimensionaldimensionaleastereggs
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There are d-dimensional zonotopes with n zones for which a 2-dimensional central section has \Omega(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.
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