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paper

Lattice Delone simplices with super-exponential volume

arXiv:math/0507119 · doi:10.1016/j.ejc.2005.12.003

Abstract

In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear.

7 pages; v2: revised version improves our exponential lower bound to a super-exponential one